Aroom has a volume of 100 m3. an air-conditioning system is to replace the air in this room every 50.5 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) 2.00 m/s and (b) 7.00 m/s.

0.12845 m

0.06866 m

Explanation:

A = Area of duct

v = Volume of air = 100 m³

t = Time taken = 50.5 minutes

l = Length of duct

V = Velocity of air

Volume flow rate

The length of the side of the square of ducts is 0.12845 m

The length of the side of the square of ducts is 0.06866 m

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explanation: