57. A room has a volume of 120 m³. An air-conditioning system is to replace the air in this room every twenty minutes, using ducts that have a square cross section. Assuming that air can be treated as an incompress- ible fluid, find the length of a side of the square if the air speed within the ducts is (a) 3.0 m/s and (b) 5.0 m/s.

Balloon angioplasty is a technique to restore blood flow through coronary arteries that have been narrowed by the build-up of plaque. The surgeon threads a catheter into the coronary artery, then inflates a balloon that compresses the plaque against the wall of the artery. Suppose a diseased coronary artery has a diameter of 2.0 mm. To what diameter must it be expanded to increase the blood flow by a factor of 5.0 with no change in pressure?

Blood is flowing through an artery of radius 2.3 mm at a speed of 35 cm/s. a. Determine the flow rate through the artery, in cubic centimeters per second.  b. Determine the volume, in cubic centimeters, that passes through the artery in a period of 30.0 s.

A tank holds a large amount of water. A pipe is connected to the tank at the upper end and is open to the air at the lower end (see figure).The upper end of the pipe has a diameter of 17.0 cm. The lower end of the pipe has a diameter of 8.60 cm. The speed of the water at the upper end is 2.00 m/s.What is the flow rate of the water in the pipe?

Oil (p = 920 kg/m³) is flowing through a pipeline at a speed of 1.88 m/s. If the diameter of the pipe is 0.16 m, what is the %3D mass flow rate? kg/s

The main uptake air duct of a forced air gas heater is 0.300 m in diameter. What is the average speed of air in the duct if it carries a volume equal to that of the house’s interior every 15 min? The inside volume of the house is equivalent to a rectangular solid 13.0 m wide by 20.0 m long by 2.75 m high.

A Venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at speed v₂ through a horizontal section of pipe whose cross- sectional area is A₂ = 0.0619 m². The gas has a density of p = 1.30 kg/m³. The Venturi meter has a cross-sectional area of A₁ = 0.0393 m² and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P₂ - P₁ = 90.8 Pa. Find (a) the speed v₂ of the gas in the larger original pipe and (b) the volume flow rate Q of the gas. P₂ Hi (a) Number i (b) Number A1 Lo P₁ Venturi meter Units Units ()