You wash your roof with a water hose at a height of 8.0 m above the ground. You connect two garden hoses to reach the roof, one with a radius of 0.40 cm and the other with a radius of 0.50 cm. The smaller hose is held on the roof and the larger hose is attached to a faucet at ground level, as shown in the image below. You want the exit speed of the water out of the smaller hose on the roof to be 6.0 m/s, and you know the water moves in the large hose but do not know the speed of the water within the large part of the hose. What should the absolute pressure (in Pascals) in the large hose be at ground level? Atmospheric pressure is 1.01x105 Pa. V1= 6.0 m/s r,=0.40 cm 8.0 m r2=0.50 cm

Water is pumped into a fire hose through a 6 cm diameter pipe with speed 1m/s. The water in the fire hose flows with a pressure of 200000 Pa. At the end of the fire hose is a nozzle (small hole). The pressure decreases to atmospheric pressure (101300 Pa) when the water leaves the nozzle from the hose. There is no change in height moving from the hose to the nozzle. 1. What is the water speed in a 4 cm diameter fire hose? 2. What is the velocity of the water exiting the nozzle (p=1000kg/m³)? 4. What is the diameter of the nozzle? 3. A Fireworker now connects an additional flexible tube to the nozzle (tube and nozzle has same diameter). He lifts the tube to a height of 1 meter above the ground. At what speed does the water come out of the tube? (hint - the pressure at the exit is still atmospheric)

3. A pipe with varying cross-sectional areas is set up vertically as shown in the drawing. Water enters the pipe from the top wider end at a speed of 300 cm/s. Calculate (a) the mass flow rate of water (the amount of mass entering/exiting the piper every second) and (b) the water pressure at the bottom narrower end section of the piper. (Density of water is p = 1000 kg/m2 1.00 g/cm')) P 1.20x10 Pa 10.0 cm h=4.00 m 2.50 cm2 P= ?

A shower head in your apartment needs to have water come out with a speed of 9.6m/s. The shower head has 20 circular openings. Each opening has a radius of 1mm. The shower head is connected to a pipe with radius of 0.8cm. The bathroom pipe is 8m above the ground level. The pipe at the ground level has twice the radius of the pipe in the bathroom upstairs. a) What is the volume flow rate at the ground floor? b) What must be the gauge pressure between the ground floor and the bathroom pipe? c) What is the gauge pressure between the bathroom pipe and the shower head opening where the water exits the shower head?

A pipe with a diameter of 2cm is attached to a garden hose with a nozzle. If the velocity of flow in the pipe is 2ms, what is the velocity of the flow at the nozzle when it is adjusted to have a diameter of 4mm?

A room has a volume of 349 m3. An air-conditioning system is to replace the air in this room every 81.5 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.   a:  b:

A pump has one inlet and two outlets as shown in the figure all at the same elevation. What pump power is required if the pump is 85% efficient. Neglect pipe losses