Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A room has a volume of 160 m3. An air-conditioning system is to replace the air in this room every 21.3 minutes, using ducts that have a square cross section. Assuming that air can be treated as an incompressible fluid, find the length of a side of the square if the air speed within the ducts is (a) 3.00 m/s and (b) 6.00 m/s.

Sagot :

Answer:

A. 0.204203928 m

b. 0.1443939822

Explanation:

Givens:

Volume (V) = 160 m^3

velocity 1 (v1) = 3.00 m/s

velocity 2 (v2) = 6.00 m/s

Time (t) = 21.3 minutes = 1278 seconds

Side length = ?

V = A*v*t

A = s^2

V = s^2*v*t

s= [tex]\sqrt{\frac{V}{v*t} }[/tex]

A.

s = [tex]\sqrt{\frac{V}{v*t} }[/tex] = [tex]\sqrt{\frac{160}{3.00*1278} }[/tex] = 0.204203928 m

B.

s = [tex]\sqrt{\frac{V}{v*t} }[/tex] = [tex]\sqrt{\frac{160}{6.00*1278} }[/tex] = 0.1443939822 m

I hope this helped!! Have a good day.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.