What is the head loss in psi for a pipe with a water velocity of 2.95 fps?

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Multiple Choice

What is the head loss in psi for a pipe with a water velocity of 2.95 fps?

Explanation:
Velocity head represents how much pressure corresponds to the fluid’s motion. It’s given by h_f = v^2 / (2g) in feet of water, and to turn that into psi you divide by 2.31 (since 1 psi equals 2.31 ft of water). With v = 2.95 ft/s, v^2 = 8.7025. Using g ≈ 32.2 ft/s^2, 2g ≈ 64.4, so h_f ≈ 8.7025 / 64.4 ≈ 0.135 ft. Converting to psi: 0.135 ft / 2.31 ≈ 0.0585 psi. So the head loss is about 0.058 psi, which corresponds to the closest option. The other values would imply different head or velocity assumptions, not matching this velocity head calculation.

Velocity head represents how much pressure corresponds to the fluid’s motion. It’s given by h_f = v^2 / (2g) in feet of water, and to turn that into psi you divide by 2.31 (since 1 psi equals 2.31 ft of water).

With v = 2.95 ft/s, v^2 = 8.7025. Using g ≈ 32.2 ft/s^2, 2g ≈ 64.4, so h_f ≈ 8.7025 / 64.4 ≈ 0.135 ft. Converting to psi: 0.135 ft / 2.31 ≈ 0.0585 psi.

So the head loss is about 0.058 psi, which corresponds to the closest option. The other values would imply different head or velocity assumptions, not matching this velocity head calculation.

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