Question

A rectangluar swimming pool 25 feet long, 15 feet wide, and 7 feet deep is filled with water to a depth of 6 feet. The weight density of water is 62.4 lb ft 3 lb/ft^3. Calculate the work required to pump all of the water out over the top.

___________ ft-lb

Answer 1

9514 1404 393

Answer:

491,400 ft·lb

Explanation:

The mass of the water is ...

M = Vρ = LWHρ = (25 ft)(15 ft)(7 ft)(62.4 lb/ft³) = 163,800 lb

The average depth is 3 ft, so the work required is equivalent to that required to raise this mass 3 ft.

W = (3 ft)(163,800 lb) = 491,400 ft·lb