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Figure velocity of pool cover











































Can someone please help me to figure the velocity of a pool pump. I never had physics and am not sure where to go with the equation.

V = Q/OA where Q in gallons per minute is 83.65 and OA in square inches is 32.37.
Velocity {or is it volume?} is 8 ft. per second

V = gallons per minute x 0.1337 x 144 / {Square inches x 60} =

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Mar 23, 2010
Equation for Velocity of Water
by: Staff

Figure velocity of pool cover



The problem


Can someone please help me to figure the velocity of a pool pump? I never had physics and am not sure where to go with the equation.

V = Q/OA where Q in gallons per minute is 83.65 and OA in square inches is 32.37.
Velocity {or is it volume?} is 8 ft. per second

V = gallons per minute x 0.1337 x 144 / {Square inches x 60} =




The solution

First of all, the equation really does calculate velocity (or speed) of the water coming out of the pump in feet per second.

Imagine yourself riding a molecule of water as it left the pump. How far would you travel in 1 second? Would you travel 1 foot, 2 feet, ½ foot, or whatever?

Obviously, if the pipe coming out of the pump is big (a large cross section), the water will be moving slowly because a lot of water can pass through the same pipe at once.

If the pipe coming out of the pump is small (a small cross section), the water will be moving fast because a lot of water must pass through a small opening.

So, the bigger the pipe leaving the pump, the slower the water moves.

This is similar to a river to the speed of river. When flowing through a narrow canyon, the water is a torrent which is flowing very fast. When the same river flows through a broad open plain, the river is wide and slow – a lazy river.




Now, back to your equation:

V = Q/OA


V = water velocity in feet per second (how fast the water is coming out of the pump – how many feet a molecule of water will travel in 1 second)

Q = gallons per minute pumped by the pump = 83.65 gallons per minute

OA = the size (cross section) of the pipe coming out of the pump in Square Inches = 32.37 square inches

You probably don’t care, but for the record, the numbers in your formula are conversion factors. :

0.1337 changes the gallons per minute to cubic feet per minute

144 means 144 square inches per square foot
60 means 60 seconds for every minute

Using your equation:

V = Q/OA

V = gallons per minute x 0.1337 x 144 / {Square inches x 60}

V = (83.65 x 0.1337 x 144)/( 32.37 x 60)

V = (1610.4967)/( 1942.2)

V = 0.8 feet per second, rounded

(The velocity of the water leaving the pump travels 8/10 of a foot in 1 second. This is a distance of a little under 10 inches in 1 second.)




Staff
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