The power (P) required to drive a fan is believed to depend on fluid density, volume flow rate, impeller diameter and angular velocity (1/time).Use dimensional analysis to determine the dimensionless groups involved in this application.

Answers

Answer 1

There is only one dimensionless group in this application.

To determine the dimensionless groups involved in this application, we can use the Buckingham Pi Theorem, which states that the number of dimensionless groups (Pi terms) that can be formed from a set of variables (n) with k fundamental dimensions is given by n - k.

In this case, we have four variables: fluid density (ρ), volume flow rate (Q), impeller diameter (D), and angular velocity (ω), and three fundamental dimensions: mass (M), length (L), and time (T). Therefore, the number of dimensionless groups that can be formed is:

n - k = 4 - 3 = 1

Thus, there is only one dimensionless group in this application. We can use any combination of the variables to form this group, but a common choice is:

[tex]Pi = (ρQ^2D^5)/(ω^3)[/tex]

This dimensionless group is known as the fan's specific speed and is often used in fan engineering.

To know more about dimensionless  refer to-

https://brainly.com/question/30413946

#SPJ11


Related Questions

make m the subject of the formula in 3-mx/2+2y=p/q​

Answers

It means we want to isolate m so...

mx/2+2y=p/q

mx/2=p/q-2y

mx=2p/q-4y

m=(2p/q-4y)/x

Hope this helped if you have any more questions ask it in questions.

To create a model of an artery, a health teacher uses the scale 2.5 cm : 0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?



a
9 m
b
90 cm
c
18 cm
d
9 cm

Answers

Answer: 9 cm

Step-by-step explanation:

I took the test

solve the system of equations
3x-3y=4
-3x+3y=3

Answers

Answer:

x=y+2/3

Step-by-step explanation:

If $18\sqrt 8-8\sqrt{18}=\sqrt n, what is n?

Answers

Answer:

288 trust me it is 100% right I tried it as an answer an got it right.

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

From the first two parts of the problem, we have

18√8 - 8√18 = 36√2 - 24√2

                    = (36 - 24)√2

                    = 12√2.

Thus, we wish to solve for n in the equation 12√2 = √n. In other words, we want to know what number 12√2 is the square root of. Any nonnegative number is the square root of its own square, so

n = (12√2)²

  = 12²(√2)²

  = 144 ∙ 2

  = 288.

i dont understand this

Find the slope of the linear function
y=5/4x-9​

Answers

Answer:

[tex]\frac{5}{4} x[/tex]

Step-by-step explanation:

y = mx+ b

m = slope

b = y-intercept

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the straight lines.

The equation of a straight line is given as,

y = mx+c, hence here, m = slope, c = y-intercept..

so, y = 5/4x-9

.m = 5/4

so the slope is 5/4

Four friends go out to lunch together. Mike orders a personal pizza with 2 toppings for $7.00. Dustin orders a personal pizza with 5 toppings for $9.25. Lucas orders a calzone with 1 topping for $5.75. Will orders a calzone with 4 toppings for $8.75. For what number of toppings is the price of a personal pizza the same as a calzone?

Answers

Answer:

Step-by-step explanation:

Four friends go out to lunch together.

For what number of toppings is the price of a personal pizza the same as a calzone?

Let us represent the number of toppings as x

We need to know the price of a personal pizza and the price of a calzone

Mike orders a personal pizza with 2 toppings for $7.00.

2x = $7

x = $7/2

x = $3.50

Dustin orders a personal pizza with 5 toppings for $9.25.

5x = $9.25

x = $9.25/5

x = $1.85

Lucas orders a calzone with 1 topping for $5.75.

x = $5.75

Will orders a calzone with 4 toppings for $8.75.

4x = 8.75

x = 8.75/4

x =2.1875

Determine how many lines of symmetry each object has

Answers

i think the answer is zero

how do you solve 0.4m(40m-20n)

Answers

Answer:

= 16m2o−8mno

Step-by-step explanation:

The rectangular floor of a classroom is 40 feet in length and 24 feet in width. A scale drawing of the floor has a length of 20 inches. What is the perimeter, in inches, of the floor in the scale drawing?

Answers

Answer:

Perimeter = 64 inches

Step-by-step explanation:

40':20" = 1':1/2"

24' =12"

20+20+12+12 = 64 inches

Johnny works after school and earns $8 per hour. He needs at least $2000 to purchase a car so he does not need to take the bus. How many hours does he need to work to reach his goal?​

Answers

2hours

Step-by-step explanation:

2 hours

Simplify (6ab3c)(-abc2).

6b 2c
-6a 2b 4c 3
-6ab 3c 2

Answers

Answer: The simplified version of (6ab3c)(-abc2) is -12a^2 b^4 c^2

Step-by-step explanation:

Answer:

−6a^2b^4c^3

Step-by-step explanation:

Evaluate expression: 3(5g + 5 - 2)

Answers

Answer: 15g + 9

Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.

What is the reciprocal of 3 2/3

Answers

Answer:

the answer is 5

Step-by-step explanation:

Answer:

0.27272727272 is the reciproval of 3 2/3

Please do number 3___________________

Answers

9514 1404 393

Answer:

  m∠SVW = 80°

Step-by-step explanation:

3. The sum of same-side interior angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.

  4x + 5x = 180

  9x = 180 . . . . . . . . collect terms

  x = 20 . . . . . . . . . . divide by 9

m∠SVW = 4x° = 4(20)°

m∠SVW = 80°

_____

4. Then m∠VWT = 180° -80° = 100° = 5x°.

__

5. Consecutive interior angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)

Find a slope of each line (each block is one unit):

Answers

Answer:

The slope is -3

Step-by-step explanation:

We have two points

( -1,2) and (1,-4)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -2)/ ( 1 - -1)

   = ( -4-2)/ (1+1)

   = -6/2

   = -3


Find the highest common factor of 35 and 8C.

Answers

Answer:

Factors of 35 = 1, 5, 7 and 35

Factors of 8= 1, 2, 4, 8.

common = 1

With explanation please help

Answers

Answer:

first you simplify the first part which will be

(15)^2-(18+9)*(6)

225-27*6

225-162

Answer will be 63

I showed my work :)

Name the like terms
5a, 3, 4d , 2a, 2a, 5c

Answers

Answer:

"Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.

Step-by-step explanation: Hope this helps

A one year member ship to your local gym costs $539. there is an initial fee of $35. write an equation tou can use to fund out how much you pay per month ​

Answers

$539 - $35 = $504

$504 : 12 = $42

Per month you pay $42.

I need help on this pleasee​

Answers

Answer:

slope is 6/0 which is undefined

Step-by-step explanation:

I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?

3 over 7, 2 over 5, 3 over 4, 2 over 9

2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9

Answers

Answer:

2/9 = 0.2 repeating

3/7 = 0.428571 repeating

Step-by-step explanation:

3x(2ab - b) - 2y(2a - b)
please i need help!!​

Answers

Answer:

6abx-3bx-4ay+2by

Step-by-step explanation:

Answer:

The answer is 6xab - 3xb - 4ya + 2yb

Step-by-step explanation:

Factor the polynomial.

~Hoped this helped~

Please help me, I am unsure how to do this

Answers

Answer:

-1/4

Step-by-step explanation:

Answer: -4 I think

Step by step: The equation for finding a slope is y2 -y1 /X2 - X1 and by x and y it means the coordinates so just pick a random two pair of coordinates and use that equation and if u chose (-1,4) and (1,-4) it will be -4-4/1- -1 which is -4. This works for any 2 coordinates. Sorry if that makes no sense lol

Circles A, B, and C overlap. x is in the overlap of circles A and B. Which of the following are true about x? Check all that apply. x ∉ A x ∈ B x ∉ C x ∈ A ⋃ B x ∈ A ⋃ C x ∈ A ⋂ B

Answers

9514 1404 393

Answer:

  b, c, d, e, f

Step-by-step explanation:

x ∉ A  . . . . .  not true, x is in A

x ∈ B . . . true

x ∉ C . . . true (x is outside the circle labeled C)

x ∈ A ⋃ B . . . true

x ∈ A ⋃ C . . . true

x ∈ A ⋂ B . . . true (x is in the overlap)

Answer:

A is false, every thing else is correct so b,c,d,e,f is your answer

Step-by-step explanation:

have a good day

What is the area of the triangles? The problems are in the picture below. 15 points and a brainiest.

Answers

Answer:

first: 8 in^2

second: 77 yd^2

third: 225 in^2   (assuming that the larger triangle base =50 in (25 x 2)

Step-by-step explanation:

area = 1/2 x base x height

first:

1/2 x 4 x 4 = 8 in^2

second:

1/2 x 14 x 11 = 77 yd^2

third:

(1/2 x 50 x 18) - ( 1/2 x 18 x 25) = 450 - 225 = 225 in^2

Help me with the area of the following triangle??? 25 POINTS question

Answers

-13/2x+1 is the answer which the area

How to find it simple:

Do 1/2*3x-4

then use that answer and multiple it with the height which is 2x+1 and you get the answer.

Please help

The figure

Answers

pentagonal prism

hope it helps you

Answer:

the last one

Step-by-step explanation:

because they are given their names based on their bases

Question:
What are the solutions to 3x^2 + 12x + 6 = 0?

Hint::
use the quadratic formula

Answers

Answer:

     x₁ = - 2 + √2 ,   x₂ = - 2 - √2

Step-by-step explanation:

[tex]3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2[/tex]

Triangle WXY is similar to triangle RST.
AA.
Which transformations could transform triangle WXY into triangle RST to show that they are similar?
Reflect across line PQ, then dilate with a scale factor greater than 1.
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
Rotate 90 degrees counterclockwise about point P, then dilate with a scale factor greater than 1.
Rotate 180 degrees clockwise about point P, then dilate with a scale factor greater than 0 and less than 1.

Answers

Answer:

Reflect across the line PQ, then dilate with a scale factor greater than zero in less than one

Step-by-step explanation:

Answer:

Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.

B

Step-by-step explanation:

Cand someone please help me with this assignment!!!

Answers

Answer:

1. 3

2. 4

3. 2

4. 1

5. 1

7. 3

8. 10?

thats all i know because thats my answers hope it helps

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