Concept explainers
(a)
The speed at which the water leaves the faucet.
(a)
Answer to Problem 69P
The speed at which the water leaves the faucet is
Explanation of Solution
Write the equation for the volume flow rate.
Here,
Write the equation for the volume flow rate in terms of the speed of the water.
Here,
Rewrite the above equation for
Write the equation for
Here,
Put the above equation in equation (II).
Conclusion:
Substitute
Substitute
Therefore, the speed at which the water leaves the faucet is
(b)
The gauge pressure in the
(b)
Answer to Problem 69P
The gauge pressure in the
Explanation of Solution
Take point 1 to be in the entrance pipe and point 2 to be at the faucet pipe.
Write the continuity equation of fluids.
Here,
Rewrite the above equation for
Write the equation for
Here,
Write the equation for
Here,
Put the above two equations in equation (IV).
Write the Bernoulli’s equation.
Here,
Rearrange the above equation.
Write the equation for gauge pressure.
Here,
Put the above equation in equation (VI).
Conclusion:
The density of water is
Substitute
Substitute
Therefore, the gauge pressure in the
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Chapter 15 Solutions
Principles of Physics
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