A 17 cm radius air duct is used to replenish the air of a ro

A 17 cm radius air duct is used to replenish the air of a room 8.4m times 5.7m times 3.5m every 15 min. How fast does air flow in the duct? Express your answer to two significant figures and include the appropriate unit.

Solution

voulme flow rate = area*speed

8.4*5.7*3.5)/(60) = 3.14*0.17^2*speed

=> speed = 30.778 m/s