A room has a volume of 225 m3. An air-conditioning system is to replace the air in this room every 85.3 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 8.00 m/s.

When a person inhales, air moves down the bronchus (windpipe) at 13.8 cm/s. The average flow speed of the air doubles through a constriction in the bronchus. Assuming incompressible flow, determine the pressure drop in the constriction. Neglect the change of pressure due to change in height ?y in the wind pipe. If the pressure goes down then the pressure drop is negative. Use 1.20 kg/m33 for the density of air.

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

While taking a shower, you notice that the shower head is made up of 36 small round openings, each with a radius of 2.00 mm. You also determine that it takes 2.00 s for the shower to completely fi a 1.00-liter container you hold in the water stream. The water for the shower is pumped by a pump that is 5.60 m below the level of the shower head. The pump maintains an absolute pressure of 1.50 atm. Use g = 10 m/s?, and assume that 1 atmosphere is 1.0 x 105 Pa. (a) At what speed does the water emerge from the shower head? 1.105 m/s (b) What is the speed of the water in the pipe connected to the pump? m/s (c) What is the cross-sectional area of the pipe connected to the pump? m2

Fire hoses used in major structure fires have inside diameters of 6.4 cm. Suppose such a hose carries a flow of 40 L/s starting at a gauge pressure of 1.62 × 10°N/m². The hose goes 10 m up a ladder to a nozzle having an inside diameter of 3 cm. Assume negligible resistance, density of water is 1000 kg/m³, and atmospheric pressure = 1.013×105 Pa. Using the flow rate (a) Calculate the velocity at the start of the hose. V = start m/s (b) Calculate the velocity at the nozzle. V = nozzle m/s Pnozzle (c) Calculate the gauge pressure at the nozzle, P, If nozzle <3%, then enter P nozzle =0, else P atm |P nozzlel enter the calculated value. If atm <3%, then we are going to assume that the absolute pressure at the nozzle is approximately equal to the atmospheric pressure, making the gauge pressure almost zero when compared to the atmospheric pressure. Pnozzle Pa

The flow rate for a typical human aorta is approximately 90 cm3/s. If the aorta has a diameter of 2.0 cm, how fast is the blood moving in cm/s?