Physics Problem

Question

A circular swimming pool has a diameter of 10 m. The circular side of the pool is 4 m high, and the depth of the water is 3.5 m. (The acceleration due to gravity is 9.8 m/s^2 and the density of water is 1000 kg/m^3 .)

How much work (in Joules) is required to:

(a) pump all of the water over the side? 

(b) pump all of the water out of an outlet 1 m over the side?

Answer 1

Find the amount of work (in Joules) required to pump all of the water

a) over the side

a vertical distance of 0.5 for the water to spill over the side of the pool:

12250*pi Joules

b) to an outlet 1 meter above the side of the pool

a vertical distance of 1.5 for the water to reach the outlet:

36750*pi Joules