A drinking fountain projects water at an initial angle of $50^\circ$ above the horizontal, and the water reaches a maximum height of $0.150\,\text{m}$ above the point of exit. Assume air resistance is negligible.

Question

A drinking fountain projects water at an initial angle of $50^\circ$ above the horizontal, and the water reaches a maximum height of $0.150\,\text{m}$ above the point of exit. Assume air resistance is negligible.(a) Calculate the speed at which the water leaves the fountain.
, (b) The radius of the fountain’s exit hole is $4.00 \times 10^{-3}\,\text{m}$. Calculate the volume rate of flow of the water.
, (c) The fountain is fed by a pipe that at one point has a radius of $7.00 \times 10^{-3}\,\text{m}$ and is $3.00\,\text{m}$ below the fountain’s opening. The density of water is $1.0 \times 10^{3}\,\text{kg/m}^3$. Calculate the gauge pressure in the feeder pipe at this point.
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Jason · Accepted Answer

$2.24\,\text{m/s}$
$1.13\times10^{-4}\,\text{m}^3/\text{s}$
$3.16\times10^{4}\,\text{Pa}$

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