the curved section of a horizontal highway is a circular unbanked arc of radius 600 m. if the coefficient of static friction between this roadway and typical tires is 0.40, what would be the maximum safe driving speed for this horizontal curved section of highway?

Answers

Answer 1

This horizontally curved portion of the highway has a maximum safe driving speed of about 34.16 m/s.

To find the maximum safe driving speed for the curved section of the highway, we need to consider the centripetal force and the frictional force.

The centripetal force required to keep a vehicle moving in a circular path is given by:

[tex]F_c = m * \left(\frac{v^2}{r}\right)[/tex]

where m is the mass of the vehicle, v is the velocity, and r is the radius of the curved section.

The frictional force between the tires and the roadway provides the necessary centripetal force:

[tex]F_friction[/tex] = μ * m * g

where μ is the coefficient of static friction, m is the mass of the vehicle, and g is the acceleration due to gravity.

Setting [tex]F_c[/tex] equal to [tex]F_friction[/tex], we have:

[tex]m * (v^2 / r) = μ * m * g[/tex]

Simplifying, we can solve for v:

v² = μ * r * g

v = sqrt(μ * r * g)

Plugging in the values, with μ = 0.40, r = 600 m, and g = 9.8 m/s^2, we can calculate the maximum safe driving speed:

v = sqrt(0.40 * 600 * 9.8) ≈ 34.16 m/s

Therefore, the maximum safe driving speed for this horizontal curved section of the highway would be approximately 34.16 m/s.

To know more about the safe driving speed refer here :

https://brainly.com/question/28019745#

#SPJ11


Related Questions

A 67 V power supply is connected to three identical resistors in series. If the current through the resistors is measured at 0.95 A, what is the value of each resistor? Round your answer to 2 decimal places.

Answers

The value of each resistor is 23.51 ohms.

Value of each resistor

The value of each resistor is calculated as follows;

R₁ = R₂ = R₃ = R

Total resistance, Rt = 3R

V = IRt

V = I(3R)

R = V/3I

R = (67)/(3 x 0.95)

R = 23.51 ohms

Thus, the value of each resistor is 23.51 ohms.

Learn more about resistor here: https://brainly.com/question/24858512

#SPJ1

What is the strength of the intermolecular forces between liquid and gas

Answers

Sorry I’m not sure maybe search it?

use the tools to measure the velocity of the cart after the string was cut. This velocity will be a constant on a smooth surface (after the spring is no longer pulling). What value did you get for the velocity

Answers

The value gotten for the velocity after using the use the tools to measure the velocity of the cart after the string was cut is positive

What is velocity?

Velocity can simply be defined as the rate of change of displacement with time

Velocity is measured in meters per second (m/s)

So therefore, thee value gotten for the velocity after using the use the tools to measure the velocity of the cart after the string was cut is positive

Learn more about velocity:

https://brainly.com/question/16000616

#SPJ1

According to the theory of a symmetry breaking, at the moment of quark confinement, when the universe was 10-6 seconds old, what were the relative numbers of neutrons and antineutrons

Answers

At the time of quark confinement, when the universe was 10-6 seconds old, there is found to be one additional proton for every billion antiprotons.

What is quark confinement?

Note that  one quark is never found on its own but if particles are said to be smashed together and quarks are found, they are said to be like ends of rubber bands that expands.

Hence, At the time of quark confinement, when the universe was 10-6 seconds old, there is found to be one additional proton for every billion antiprotons.

Learn more about  quark from

https://brainly.com/question/15103512

#SPJ1

A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection

Answers

The angle of projection is θ = 53°

What is the angle of projection?The angle between the initial velocity of a body from a horizontal plane through which the body is thrown, is known as angle of projection.Motion in A Plane. Show that there are two angles of projection for which horizontal range is the same. Thus horizontal range is the same for angle of projection θ and α = 90°–θ.The maximum height achieved by a projectile ignoring the air resistance is given by HM=U2Sin2 θ 2g.where U is the initial velocity, θ is the angle of projection and g is the acceleration due to gravity.

R = 3H

R = v²sin2θ/g   = 2v²sinθcosθ/2 = 3v²sin²θ/2g

    tan θ = 4/3

     θ = 53°

So,  the angle of projection is   θ = 53°

Learn more about angle of projection

brainly.com/question/2123781

#SPJ4

 

 

The acceleration due to gravity is lower on the Moon than on Earth. Which of the following is true about the mass and weight of an astronaut on the Moon's surface compared to Earth

Answers

Mass is the same, weight is less

What is the Weight and mass on Moon ?

As we know that the mass of the object is the measurement of the quantity of the matter that is present in it

So here we can say that if the mass of the object is m then its total quantity of the matter that is present in it is given as

mass = (density) × (volume)

Now for the weight of the object is defined as the force of gravity due to planet

Fg = mg

so the weight of the object is depending on the acceleration due to gravity of the planet

As we know that the gravity of moon is smaller than the gravity of the earth so here weight on the moon will be smaller than the weight on the Earth

Learn more about Weight on Moon here:

https://brainly.com/question/4080619

#SPJ4

Magnetic field lines point _____ north poles and _____ south poles

Answers

Magnetic field lines point leave north poles and enter south poles.

What are Magnetic field lines?

This is referred to as the direction that a small compass points when placed at a location.

They are closed curves which runs from the north pole and enters the south pole thereby making it the most appropriate choice.

Read more about Magnetic field lines here https://brainly.com/question/17011493

#SPJ1

Gravity follows an inverse square law. This means that if the distance between two masses is decreased by a factor of 4, the gravitational force between those two masses:________
A. increases by a factor of 4.
B. increases by a factor of 2.
C. increases by a factor of 16.
D. decreases by a factor of 4.
E. decreases by a factor of 16.

Answers

Gravity follows an inverse square law. This means that if the distance between two masses is decreased by a factor of 4, the gravitational force between those two masses: C. increases by a factor of 16.

Gravitational force is an attractive force that exists between all objects with mass; an object with mass attracts another object with mass; the magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.

Force between two masses = G M1 M1 / [tex]R^{2}[/tex]

since , gravitation force d follows an inverse square law

F is directly proportional to 1/[tex]R^{2}[/tex]

If distance between two masses is decreased by a factor of 4

Let initial distance  : R

when distance between two masses is decreased by a factor of 4 = 4R

Force  = G M1 M1 / [tex](4R)^{2}[/tex]

Force =  G M1 M1 / [tex]16R^{2}[/tex]

16 Force = G M1 M1 / [tex]R^{2}[/tex]

since , there is an inverse relation , so if distance is decreased , gravitation force will increase .

hence, gravitational force will increase by factor of 16

correct option C. increases by a factor of 16.

To learn more about gravitational force here

https://brainly.com/question/12528243?referrer=searchResults

#SPJ4

It is well known that for a hollow, cylindrical shell rolling without slipping on a horizontal surface, half of the total kinetic energy is translational and half is rotational. What fraction of the total kinetic energy is rotational for the following objects rolling brainly

Answers

The fraction of the total kinetic energy that is rotational for a uniform sphere is 1/3.

What is kinetic energy?Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.

Option (a) [tex]f = \frac{0.5}{1.5} = \frac{1}{3}[/tex]

Option (b) uniform sphere

            [tex]f = \frac{2}{7}[/tex]

C) uniform hollow sphere

           [tex]f = \frac{2}{5}[/tex]

D) uniform hollow cylinder with inner radius R/2 and outer radius R

           [tex]f = \frac{5}{13}[/tex]

that fraction of total energy as rotational energy is given as

     [tex]f = \frac{\frac{1}{2}Iw^{2} }{\frac{1}{2}mv^{2} + \frac{1}{2} Iw^{2} }[/tex]

   [tex]f = \frac{m k^{2}(\frac{v^{2} }{R^{2} }) }{mv^{2} + m k^{2}(\frac{v^{2} }{R^{2} } )}[/tex]

    [tex]f = \frac{\frac{k^{2} }{R^{2} } }{1 + \frac{k^{2} }{R^{2} } }[/tex]

A) uniform Solid cylinder for cylinder we know that

         [tex]\frac{k\\ ^{2} }{R^{2} }[/tex]  = 0.5

          [tex]f = \frac{0.5}{1.5} = \frac{1}{3}[/tex]

B) uniform Sphere for sphere we know that

        [tex]\frac{k^{2} }{R^{2} } = \frac{2}{5} \\[/tex]

    [tex]f = \frac{0.4}{1.4} = \frac{2}{7}[/tex]

C) uniform hollow sphere for hollow sphere we know that

            [tex]\frac{k^{2} }{R^{2} } = \frac{2}{3}[/tex]

         [tex]f = \frac{\frac{2}{3} }{\frac{5}{3} } = \frac{2}{5}[/tex]

D) uniform hollow cylinder with inner radius R/2 and outer radius R for annular cylinder

             [tex]\frac{k^{2} }{R^{2} } = \frac{5}{8}[/tex]

            [tex]f = \frac{\frac{5}{18} }{\frac{13}{8} } = \frac{5}{13}[/tex]

Learn more about kinetic energy

brainly.com/question/999862

#SPJ4

The complete question is -

It is well known that for a hollow, cylindrical shell rolling without slipping on a horizontal surface, half of the total kinetic energy is translational and half is rotational. What fraction of the total kinetic energy is rotational for the following objects rolling without slipping on a horizontal surface?Part AA uniform solid cylinder.Part BA uniform sphere.Part CA thin-walled hollow sphere.Part DA hollow, cylinder with outer radius R and inner radius R/2.

       

a ball is thrown vertically upward with an initial speed of 20 m/s. What is the velocity right before returning to y

Answers

The ball's return velocity is (-20 m/s) before reaching its starting location.

According to the 3rd equation of motion-

When an item is propelled higher by gravity, it progressively slows down until it achieves its maximum height.The earth's gravitational pull causes it to turn around after reaching its highest peak and fall freely back to the ground.

An object that is falling freely has a starting velocity of "0"

The object accelerates at a rate of "g."

Let 'h' represent the distance the item travels while in free fall.

We can now get the ultimate velocity of the object shortly before it touches the earth with this equation,

v²=u²+2as

Assume that the ball returns to its originating place at "v". Although the ball's orientation changes as it returns to its original place, its speed stays constant.A positive direction should point upward, while a negative direction should point below.

Calculation-

For upward motion,

providing that,

The ball's initial speed is u = +20 m/s.

So, v²= u² + 2as

⇒0= (20)² - 2gH [ where 'H' = maximum height reached]

⇒H= 400/2g

For downward motion,

v²=u²+2as

⇒v²= 0²+2g*400/2g

⇒v²= 400 m/s

⇒v= 20 m/s

Therefore, the ball's return velocity is (-20 m/s) before reaching its starting location.

Learn more about v²=u²+2as here:

https://brainly.com/question/20972842

#SPJ4

1. Determine the energy released per kilogram of fuel used.
Given MeV per reaction, calculate energy in joules per kilogram of reactants.
Consider 1 mole of tritium plus 1 mole of deuterium to be a mole of “reactions” (total molar mass = 5 grams).

2. Determine the mass of fuel required for the expected energy consumption in the United States for the next 10 years.
Energy use per person per year in the United States = 3.5 × 1011 joules.
Base your calculations on a current population of 310,000,000.

Answers

1MeV = 1.6 x 10-13 J and  3.5 x 1011 joules of energy is energy in joules per kilogram of reactants.


The amount of fuel needed to meet US expectations for energy consumption over the next ten years.
In the US, each person uses 3.5 x 1011 joules of energy annually. 310,000,000 people make up the present population, thus use 1MeV = 1.6 x 10-13 J in your calculations.
In the US, annual energy consumption per person is equal to 3.5 x 1011Joules (estimated, varies by source, August 2009)
USA population: 310,000,000, roughly.
One mega electron volt, or one million electron volts, is designated as MeV. A particle with one electron charge will gain one MeV of energy when it passes through a potential difference of one million volts in a vacuum.

To learn more about Mev please visit -
https://brainly.com/question/13093080
#SPJ1

The Trichromatic Theory of Color Vision states there are three different cones that process different wavelengths of light. These wavelengths correspond to the colors: Group of answer choices

Answers

These wavelengths correspond to the colors: green, red, blue

What is wavelength:

The wavelength of visible light determines the color that the light appears. Light with the longest wavelength appears red, and light with the shortest wavelength appears violet.

what is The Trichromatic Theory of Color Vision:

Trichromatic theory states that there are three types of receptor cells in the retina, which reacts to the light of three different wavelength.

These receptor cells are responsible for perception of colors.

A spectrally pure or monochromatic color can be produced by a single wavelength.

According to Trichromatic theory of color vision,

The colors are: green, blue and red.

Learn more about Trichromatic Theory here:

https://brainly.com/question/5732534

#SPJ4

what is the frequency of a wave that has a wavelength of 0.20m and a speed of 22 m/s?

Answers

Answer:

f=110HZ

Explanation:

Calculate the frequency of a wave

Based on equation λ= VT but T= 1/f

=> λ=V/f

=> f= V/λ

by V=22m/s

λ= 0.20m

=> f= 22/0.20= 22/(2×10-¹) = 110Hz

So the frequency of a wave is f=110Hz

Answer:

110

Explanation:

velocity=wavelength×frequency

22=0.20f

divide both sides by 0.20

22/0.20=0.20f/0.20

f=22/0.20

f=110

Hull (1943) had rats push a lever that required 21 grams of force to budge. After they had learned to push the lever in order to receive food, he increased the amount of force required to move the lever to 38 grams of force. Which of the following best describes how the rats responded to this new level of required intensity

Answers

Years of research have demonstrated that rats are intelligent creatures who experience pain and pleasure, care about one another, are able to read the emotions of others, and would assist other rats, even at their own expense.

Experiments:

In trials carried out at Brown University in the 1950s, rats were trained to press a lever for food, but they stopped pressing the lever when they noticed that with each press, a rat in an adjacent cage would scream in pain (after experiencing an electric shock).

Rats were trained to press a lever to lower a block that was hanging from a hoist by electric shocks administered by experimenters. A rat was subsequently hoisted into a harness by the experimenters, and according to their notes, "This animal normally shrieked and wriggled sufficiently while dangling, and if it did not, it was jabbed with a sharp pencil until it exhibited indications of discomfort." Even if it wasn't in danger of receiving a shock, a rat watching the scenario from the floor would pull a lever to lower the hapless rodent to safety.

Learn more about experiments on rats here:

https://brainly.com/question/13625715

#SPJ4

A train is traveling at 30.0 m/sm/s relative to the ground in still air. The frequency of the note emitted by the train whistle is 262 HzHz. The speed of sound in air should be taken as 344 m/sm/s .

Answers

frequency fapproach is heard by a passenger = 302.05 Hz

frequency frecede is heard by a passenger = 228.37433 Hz

Given :

speed of train to the ground = 30.0 m/s

frequency emitted by the train whistle = 262 Hz

speed of sound in air = 344 m/s

To Find :

(A) frequency fapproach (B) frequency frecede

Solution :

The frequency of approach is given by

f' = f v + v(relative)

v - v(air)

= 262x 344 + 18

344 - 30

f' = 302.05 Hz

The frequency of approach is 302.05 Hz

The frequency of recede is given by

f' = f v - v(relative)

v + v(air)

= 262 x 344 - 18

344 + 30

The frequency of recede is 228.37433 Hz

Learn more about Frequency here:

https://brainly.com/question/254161

#SPJ4

You look at a light source through a polarizer. As you turn the polarizer you see no change in intensity. Is the light emitted by this source polarized

Answers

No, the light emitted from the source is not polarized

Bypassing it through a polarizing filter or other polarizing substance, light can be made polarized. After passing through a polarizing filter, the intensity of polarized light I is equal to the original intensity I0 cos2, where I0 is the original intensity and is the angle formed by the polarization's direction and the filter's axis.

Unpolarized light is diminished by a factor of 12 when it travels through a polarizer. Along the polarizer's axis, the transmitted light is polarized. The only parameter that is unaffected by any phenomenon, including reflection, refraction, interference polarization, etc., is frequency. The polarization phenomenon has no effect on light frequency.



To learn more about polarization please visit -
https://brainly.com/question/16106487
#SPJ4

Which nucleus completes the following equation?
22 Fr He+?
A. 226/85 At
B. 226/89 Ac
C. 222/89 Ac
D. 218/85 At

Answers

The nucleus that completes the equation given above is 218/85 At, which is option D.

What is a nuclear fission?

Nuclear fission is a nuclear reaction in which a large nucleus splits into smaller ones with the simultaneous release of energy.

According to this question, the following nuclear fission reaction is given: 222/87Fr = 4/2He+ ?

To find the missing nucleus, we subtract 4 from 222 to get 218, therefore, the nucleus that completes the equation given above is 218/85 At.

Learn more about nuclear fission at: https://brainly.com/question/913303

#SPJ1

A swimming pool is 4.0 m in depth; a swimmer at this depth feels discomfort in the ear. Calculate the net force on a 0.50-cm-diameter eardrum, assuming the inner surface of the eardrum remains at 1 atm pressure

Answers

The net force on a 0.50-cm-diameter eardrum is mathematically given as

F= 0.76969 N

What is the net force on a 0.50-cm-diameter eardrum?

Generally, the equation for Pressure is  mathematically given as

P = ρgh

Therefore

P= 1000*9.8*4

P= 39200 Pa

Where

A= pi*(0.005/2)^2

Generally, the equation for Net force is  mathematically given as

F = PA

F= 39200 *( pi*(0.005/2)^2)

F= 0.76969 N

In conclusion, The net force is

F= 0.76969 N

Read more about Pressure

#SPJ1

In the simulation, select the pressure tab, then select the right-most of the three reservoir configurations (top left). By putting weights into the small column of water and using the pressure gauge to measure the water and air pressure, estimate the cross-sectional area of the left column of water. Which of the following best represents the cross-sectional area

Answers

The volume of any rectangular solid, including a cube, is calculated mathematically as V = l × w × h

How to find a cross-sectional area?

In a given calculation, if you are given the:

Length WidthHeight

To find this, you would have to use the area of its base which is:

Length * Width * Height.

Furthermore, if the cross-section is parallel, then you would have to solve it thus:

Length * Width which is the area of the section from top to bottom.

Although your question is incomplete, the general idea of how to find the cross-sectional area of the volume of any rectangular solid.

Read more about cross-sectional area here:

https://brainly.com/question/10429397

#SPJ1

Describe and explain your observations using the law of conservation of charge and the properties of the conductors.

Answers

What is Law of conservation of charge?

Law of conservation of charge states that, "the total electric charge in an isolated system is always constant".

It can also be stated as, "Charge can neither be created nor destroyed but can only be converted from one form of energy to another".

What are the properties of conductors?

There is movement of electrons and ions in the conductor. Free charges exist on the surface of the conductor.The charge density of a conductor is zero.All points of a conductor are at the same potential.The electric field of a conductor is zero. This allows the electrons to flow within them.

To learn more about Law of conservation of charge: https://brainly.com/question/4158552

#SPJ4

How much longer (percentage) is a one-mile race than a 1500-m race (""the metric mile"")?

Answers

Answer:

1 m = 39.37 in = 3.281 ft

1500 m * 3.281 ft / m = 4922 ft

(5280 - 4922) / 4922 = .073 = 7.3 %

(Note - 1600 m often replaces the 1 mi run)

Radiation in the ultraviolet region of the electromagnetic spectrum is quite energetic. It is this radiation that causes dyes to fade and your skin to develop a sunburn. If you are bombarded with 1. 00 mol of photons with a wavelength of 370. Nm, what amount of energy, in kilojoules per mole of photons, are you being subjected to? energy mol submit answer try another versiorn 2 item attempts remaining.

Answers

The  energy of photon in kJ/mol is 329kJ/mol.

Wavelength of radiation is 370nm. The frequency of given wavelength is

            ν = c / λ

            ν = 3×10^8 / 370×10^-9

            ν = 8.11 × 10^14 s^-1

      Now the energy of photon is:

             E = hν

             E = 6.63×10^-34  J.s/photon × 8.11×10^14s^-1

             E = 5.41× 10^-19  J/photon

         To find in mole

              E = 5.41× 10^-19 × 6.022×10^23

               E = 3.29 ×10^ 5 J/mol

   So, the energy of mole of photon is equal to 329 kJ/mol.

        Learn more about radiation here:

                https://brainly.com/question/18650102

                     #SPJ4  

Vega, the brightest star in the constellation lyra, has a parallax angle of approximately 0.13 arcseconds. approximately how far away is vega from the sun?

Answers

Vega, the brightest star in the constellation lyra, has a parallax angle of approximately 0.13 arcseconds,  approximately  Vega will be 25.076 Light year or 7.692 Parsec away from the sun

The parallax angle is the angle between the Earth at one time of year, and the Earth six months later, as measured from a nearby star.

Mathematically it can be understood as that the parallax angle is the angle which is taken from a point at one time on the earth and again after six months later from the same point on the earth. The parallax angle is the semi-angle of inclination between the two lines to sight.

Stellar parallax is the basis for the parsec, which is the distance from the Sun to an astronomical object that has a parallax angle of one arcsecond.

Distance (in parsec) = 1 / (parallax angle ( arcsec))

given

parallax angle = 0.13 arcseconds

Distance (in parsec) = 1/ 0.13 = 7.692 Parsec

if 1 Parsec = 3.26 Light year

So, 7.692 Parsec will be equal to =  3.26 * 7.692 = 25.076 Light year

                                                        ≈ 25.076 Light year

To learn more about Stellar parallax here

https://brainly.com/question/4885471?referrer=searchResults

#SPJ4

Dalton's law of partial pressures states that for a mixture of gases, the pressure is the of the partial pressures of the individual gases. (assume that the gases do not react with each other.)

Answers

True. The partial pressure of gas that is made up of a mixture of gases is the sum of the individual pressure of the gases.

What is Dalton's law of partial pressure?

Dalton's law of partial pressure of gases is one of the gas laws that take into consideration the fact that a gas can be made from a mixture of non-reacting gases.

According to him, if a gas is made as such, the pressure of the gas would be the sum of the individual pressure of the component gases. This means that each gas contributes partially to the overall pressure of the gas mixture.

Thus, if gas A is a mixture of gas B and gas C. The pressure, P, of gas A is given as:

P = Pb + Pc where Pb and Pc are the partial pressure of gases B and C respectively.

More on partial pressure can be found here: https://brainly.com/question/13199169

#SPJ1

A 100-lb child stands on a scale while riding in an elevator. What does the scale read while the elevator slows to stop at the lowest floor

Answers

Answer: A 100-lb child stands on a scale while riding in an elevator. Then, the scale reading approaches to 100lb, while the elevator slows to stop at the lowest floor

Explanation: To find the correct answer, we need to know more about the apparent weight of a body in a lift.

What is the apparent weight of a body in a lift?Consider a body of mass m kept on a weighing machine in a lift.The readings on the machine is the force exerted by the body on the machine(action), which is equal to the force exerted by the machine on the body(reaction).The reaction we get as the weight recorded by the machine, and it is called the apparent weight.How to solve the question?Here we have given with the actual weight of the body as 100lbs.This 100lb child is standing on the scale or the weighing machine, when it is riding .During this condition, the acceleration of the lift is towards downward, and thus, a force of ma .There is also mg downwards and a normal reaction in the upward direction.when we equate both the upward force and downward force, we get,

                             [tex]ma=mg-N\\N=mg-ma[/tex]    i.e. during riding the scale reads a weight less than that of actual weight.

When the lift goes slow and stops the lowest floor, then the acceleration will be approaches to zero.

Thus, from the above explanation, it is clear that ,when the elevator moves to the lowest floor slowly and stops, then the apparent weight will become the actual weight.

Learn more about the apparent weight of the body in a lift here:

https://brainly.com/question/28045397

#SPJ4

A helicopter blade starts to rotate from rest with a constant angular acceleration of 0.82 radians/second2. How many revolutions will the blade make before it is rotating at 500 revolutions per minute (RPM)

Answers

Revolutions made by the blade will be 266 rev

Given:

Constant angular acceleration = 0.82 radians/second^2

number of revolution per minute = 500

To Find:

number of revolution

Solution: Angular Acceleration is defined as the time rate of change of angular velocity. It is usually expressed in radians per second per second.

Initial speed of the helicopter blade, w₁ = 0

The final speed of the blade, wf = 500 rpm = 500 x 2π/60 rad/s = 52.35 rad/s

We need to find the number of revolutions. Firstly we will find the angle turned by the blade. Let the angle is θ

So,

wf^2 - wi^2 = 2αθ

θ = wf^2/2α = 1671 rad

Let there are n number of revolutions made by the blade. So,

n = θ / 2π

n = 1671 / 2 x 3.14 = 266 rev

So, the revolutions made by the blade will be 266 rev

Learn more about Angular acceleration here:

https://brainly.com/question/20912191

#SPJ4

A long narrow solenoid has length l and a total of N turns, each of which has cross-sectional area A. Its inductance is:

Answers

A long narrow solenoid has length l and a total of N turns, each of which has cross-sectional area A. Its inductance is μ₀ ( [tex]\frac{N^2A}{l}[/tex] ).

To find the answer, we need to know about the magnetic field due to a solenoid.

What is the magnetic field due to a solenoid?A solenoid is an insulated wire wound in the form of a helix. Its length is very large compared to its diameter.The magnetic field due to solenoid carrying current [tex]I[/tex] can be written as,

                             [tex]B=[/tex] μ₀n [tex]I[/tex]

                               [tex]n=\frac{N}{l}[/tex]

We have an expression for magnetic flux as,

                            Φ [tex]= BA[/tex] Where, A is the area.

Substituting above value of magnetic field in the expression of magnetic flux, we get,

                                       Ф [tex]= \frac{NIA}{l}[/tex] μ₀

In terms of inductance, we can express the magnetic flux linked with the coil as,

                                        Ф [tex]= LI[/tex]

By equating above two equations of magnetic flux, we get the expression for inductance as,

                                        μ₀ ( [tex]\frac{N^2A}{l}[/tex] ) [tex]I[/tex]  [tex]=LI[/tex]

                                         [tex]L=[/tex] μ₀ ( [tex]\frac{N^2A}{l}[/tex] ).

Thus, we can conclude that the expression for inductance is  μ₀ ( [tex]\frac{N^2A}{l}[/tex] ).

Learn more about the solenoid here:

https://brainly.com/question/28058306

#SPJ1

The inductance of a solenoid having N number of turns, area A and a length l will be equal to μ₀ ( [tex]\frac{N^2A}{l}[/tex]).

We need to understand the magnetic field created by a solenoid in order to determine the solution.

What does a solenoid's magnetic field look like?An insulated wire twisted into a helix is what makes up a solenoid.Compared to its diameter, its length is significantly larger.It is possible to express the magnetic field caused by a solenoid carrying current as,

                                    [tex]B=\frac{NI}{l}[/tex]×μ₀

We can express magnetic flux as follows:

                                   [tex]flux=BA[/tex]  , A is the area.

In the formula for magnetic flux, we obtain by substituting the above magnetic field value:

                                      [tex]flux=\frac{NIA}{l}[/tex] times the μ₀.

The magnetic flux associated with the coil can be expressed in terms of inductance as follows:

                                        [tex]flux=IL[/tex]

We obtain the expression for inductance as, by combining the aforementioned two magnetic flux equations.

                                     μ₀ ( [tex]\frac{N^2AI}{l}[/tex])= [tex]LI[/tex]

                                     [tex]L=[/tex] μ₀ ( [tex]\frac{N^2A}{l}[/tex]).

As a result, we can say that the inductance expression is   [tex]L=[/tex] μ₀ ( [tex]\frac{N^2A}{l}[/tex]).

Learn more about solenoids here:

https://brainly.com/question/3821492

#SPJ1

A toy car is placed at 0 on a number line. It moves 9 cm to the left, then 4 cm to the right, and then 6 cm to the left. What is the total distance the toy car traveled?

1 cm
5 cm
11 cm
19 cmis the displacement of an object during a specific unit of time.

Answers

The total distance the toy car traveled is D. 19cm

Calculations and Parameters

The total distance of the toy car traveled in cm would be calculated

We would add the sum:

D = 9 + 4 + 6 cm

D = 19 cm

Therefore, the total distance the toy car traveled in cm is 19 cm.

Read more about displacement here:

https://brainly.com/question/2109763

#SPJ1

Which of the following areas takes visual information from one side of the body and conveys it to the opposite side

Answers

The optic chiasm is the point where the optic nerves cross the midline, allowing the opposite side of the brain to process sensory data from one side of the body.

What is the optic chiasm and where is it located?

Since the optic nerves cross in the optic chiasm, also known as the optic chiasma, it plays a crucial role in the visual pathway. Within the suprasellar cistern, it is situated 10 mm above the pituitary gland and 10 mm beneath the hypothalamus near the base of the brain.

The optic chiasm's function is to make sure that visual impulses reach both hemispheres of the brain. The thalamus receives and processes the majority of brain impulses, which are then transmitted to various parts of the occipital lobe. Half of each divided optic nerve's fibers travel to the opposing side. Due to the anatomical configuration, injury to the optic nerve system results in particular patterns of vision loss.

Learn more about optic chiasm here:

https://brainly.com/question/7283580

#SPJ4

A convex lens has a focal length f. An object is placed between infinity and 2f from the lens along a line perpendicular to the center of the lens. The image is located at what distance from the lens

Answers

The image formed will be located between the focal point, f and double of the distance from focal point, 2f.

What is convex lens?

A convex lens is the name given to any converging lens.

A converging lens or convex lens is a lens that converges rays of light that are traveling parallel to its principal axis.

What is focal length?

The focal length, f of a lens is  the distance between the center of a lens  and its focus.

Object placed between infinity and 2f

For an object that is placed between infinity and double of the distance from focal point, along a line perpendicular to the center of the lens,

The image formed will be located between the focal point, f and double of the distance from focal point, 2f.

Thus, for an object placed between infinity and 2f from the lens along a line perpendicular to the center of the lens. The image formed will be located between the focal point, f and double of the distance from focal point, 2f.

Learn more about convex lens here: https://brainly.com/question/10153605

#SPJ1

Other Questions
Before any user shows up to participate in testing, you should enlist the help of a few people to do this: a) Proofread your test cases b) Write your test cases c) Answer survey questions relevant to the application to make sure it is ready to go d) the trust that you have for your best friend is mostly based on: a. all of the above b. affect c. cognition d. disposition which breed is known for its multiple births with triplets and quads being routine, but quintuplets and sextuplets also being common? PLS HELP WITH 11, 12, 14, AND THE WORD PROBLEM show that the centre z(a) of a is isomorphic to a direct product of fields; in particular, the centre of a semisimple algebra is a commutative, semisimple algebra determine the reactions at the supports, then draw the moment diagram. assume the support at b is a roller. ei is constant An article in the Journal of Agricultural Science ["The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of Wheat with Variety, Climatic and Nitrogen Fertilizer Effects" (1997, Vol. 128, pp. 135142)] investigated means of wheat grain crude protein content (CP) and Hagberg falling number (HFN) surveyed in the UK. The analysis used a variety of nitrogen fertilizer applications (kg N/ha), temperature (C), and total monthly rainfall (mm). The data shown below describe temperatures for wheat grown at Harper Adams Agricultural College between 1982 and 1993.The temperatures measured in June were obtained as follows: 15.2 14.2 14.0 12.2 14.4 12.5 14.3 14.2 13.5 11.8 15.2Assume that the standard deviation is known to be = 0.5.(a) Suppose that we wanted to be 95% confident that the error in estimating the mean temperature is less than 2 degrees Celsius. What sample size should be used?(b) Suppose that we wanted the total width of the two-sided confidence interval on mean temperature to be 1.5 degrees Celsius at 95% confidence. What sample size should be used? 2 what can you say about an elliptic curve where the order is a prime? Which statement is TRUE with respect to closing statement entries?A) The earnest money deposit is entered as a credit to the buyer.B) Abstract continuation expense, when applicable, is usually entered as a debit to buyer.C) Title insurance expense, when applicable, is usually entered as a debit to seller and a credit to buyer.D) Brokerage commission is usually entered as a debit to seller and a credit to buyer. Which of the following BEST describes the limitations of Piagets theory of cognitive development?a.It was based on "armchair speculation" rather than careful observation of childrens behavior.b.The cognitive structures that Piaget described are relevant to the solution of a much narrower range of problems than Piaget claimed.c.It has no practical applicationsd.It is inconsistent with Freudian theory Which of the following quality control sample statistics indicates a quality characteristicthat is an attribute?a.Meanb.Variancec.Standard Deviationd.Range. Liquid oxygen and liquid nitrogen behave differently in a magnetic field. Match the picture below with the substance and indicate the correct summary of this behavior. This substance is Liquid Oxygen - O_2(I) Liquid Nitrogen - N_2(I) It is Diamagnetic Paramagnetic Ferromagnetic In a magnetic field it is Strongly attracted Attracted Slightly repelled It is Diamagnetic Paramagnetic Ferromagnetic In a magnetic field it is Strongly attracted Attracted Slightly repelled according to kelly, it is the operation of our mental processes and not the specific events that influence the formation of personality. true or false? What experiment did the student conduct that involved the evaporation of alcohol Dana had to pay her friend $900, 3 months ago and she has to pay $580 in 3 months. If her friend was charging her an interest rate of 1.50% per month, what single payment would settle both payments today? historically the average number of cars owned in a lifetime has been 12 because of recent economic downturns an economist believes that the number is now lower A recent survey of 27 senior citizens indicates that the average number of cars owned over their lifetime is 9.Assume that the random variable, number of cars owned in a lifetime (denoted by X), is normally distributed with a standard deviation () is 4.5.1) Specify the null and alternative hypotheses.Select one:a. H(0): 1212 versus H(a): >12>12b. H(0): 1212 versus H(a): A nurse explains to the parents of a 6-year-old child with a pinworm infestation how pinworms are transmitted. What statement indicates that the teaching has been understood? Let m, n N. If m n, there exists no bijection [m] [n]. induction on n and with these proposition There exists no bijection [1] [n] when n > 1. Proposition 13.2. If f : A + B is a bijection and a E A, define the new function F:A {a} B-{f(a)} by f(x):= f(x). Then f is well defined and bijective. Proposition 13.3. If 1 k Exam the following data set. {8,19,11,20,2,14,17,9,15}Which answer shows the five number summary that could be used to create a box plot for this data? Which of the following statements about exocytosis in the sea urchin egg are true? Choose one or more: a. Exocytosis releases hydrolytic enzymes from the cell. b. Exocytosis is required for the Ca^ 2+ + wave to travel through the cytosol. c. The exocytic vesicles are densely packed with protein. d. Exocytosis is used to remove extra sperm that enter the cell.