Question

26 to OHJ-18 1.15- A2 cm diameter garden hose is attached to a faucet. The per end of the hose is held sa height of 3 m above the faucet and points straight up. The faucet is opened and the pressure sends a stream of water upward to a height of 80 cm from the end of the hose into the atmosphere. What is the pressure generated at the faucet? Dupon

Answer 1

Bernoulli's equation says:

$P_{1}+h_{1}\rho g+\frac{1}{2}\rho v_{1}^{2}=P_{2}+h_{2}\rho g+\frac{1}{2}\rho v_{2}^{2}$

We can take the velocity to be zero at both points (the acceleration occurs as the water rises up to ground level, coming from the difference between the chamber pressure and atmospheric pressure). The pressure on the right-hand side is atmospheric pressure, and if we measure heights from the level of the faucet, the height on the left side is zero, and on the right side is 3 m. This gives:

$P_{1}=P_{atm}+\left (300 \right )\times 1\times 980=1.01\times 10^{6}+0.294\times 10^{6}=1.304\times 10^{6}\ dyne/cm^{2}$