Question

A garden hose is attached to a water faucet on one end and a spray nozzle on the other end. The water faucet is turned on, but the nozzle is turned off so that no water flows through the hose. The hose lies horizontally on the ground, and a stream of water sprays vertically out of a small leak to a height of 0.74 m.

Find the gauge* pressure of the water:

a.) inside the hose, sufficiently far from the hole.

b.) halfway up to the top of the spray.

c.) at the top of the spray.

Answer 1

Here,

height of water from small leak , h = 0.74 m

a) for the gauge pressure of water

inside the hose ,

gauge pressure = p * g * h

gauge pressure = 1000 * 9.8 * 0.74 Pa

gauge pressure = 7252 Pa

the gauge pressure is 7252 Pa

b) Now , at the halfway

gauge pressure = p * g * h/2

gauge pressure = 1000 * 9.8 * 0.74/2 Pa

gauge pressure = 3626 Pa

the gauge pressure is 3626 Pa

c)

at the top of the spray

gauge pressure = p * g * 0

gauge pressure = 1000 * 9.8 * 0 Pa

gauge pressure = 0 Pa

the gauge pressure is 0 Pa