Point) a circular swimming pool has a diameter of 12 m. the circular side of the pool is 3 m high, and the depth of the water is 2.5 m. (the acceleration due to gravity is 9.8 m/s2m/s2 and the density of water is 1000 kg/m3kg/m3.) how much work (in joules) is required to: (a) pump all of the water over the side? equation editorequation editor (b) pump all of the water out of an outlet 2 m over the side?

(a) 86.65 J

(b) 149.65 J

Solution:

As per the question:

Diameter of the pool, d = 12 m

⇒ Radius of the pool, r = 6 m

Height of the pool, H = 3 m

Depth of the pool, D = 2.5 m

Density of water,

Acceleration due to gravity, g =

Now,

(a) Work done in pumping all the water:

Average height of the pool, h =

h =

Volume of water in the pool, V =

Mass of water,

Work done is given by the potential energy of the water as:

(b) Work done to pump all the water through an outlet of 2 m:

Now,

Height, h = 2.75 + 2 = 4.75

Work done,