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1. A tank having the dimensions of 20 feet x20 feet x 20 feet is filled with wat

ID: 2995420 • Letter: 1

Question

1. A tank having the dimensions of 20 feet x20 feet x 20 feet is filled with water. A centrifugal pump is situated 2 feet below the bottom of the tank. The pump 30 gallons per minute (gpm). Calculate how long it will take the pump to drain the tank (stopping at the bottom of the tank). In addition, calculate the initial and final pressure at the pump suction due to the fluid height.

2. If the same pump is pumping into a 2-inch diameter (an inside diameter for the purpose of this problem), what is the velocity in feet per second of the discharge water? Calculate the velocity for a

Explanation / Answer

1 ft^3 = 7.48 gallons Volume = 20 * 20 *20 ft^3 = 20*20*20*7.48 gallons = 59840 gallons Time taken = 59840/30 = 1994.7 minutes = 33.2 hours Initial pressure = rho*h = 62.4*(20+2) = 1372.8 lb/ft^2 = 1372.8/12^2 psi = 9.53 psi Final pressure = 0