Posted: April 30th, 2022

1a) A circular swimming pool has a diameter of 10 meters. The sides are 4 meters high and the depth of the water is 3.5 meters. How much work is required to pump all of the water over the side? Your answer must include the correct units. HINT: The acceleration due to gravity is 9.8 m/sec2 and the density of water is 1000 kg/m3.

Answer__________________

1b) A circular swimming pool has a diameter of 16 meters, the sides are 3 meters high, and the depth of the water is 1.5 meters. The acceleration due to gravity is 9.8 m/s2 and the density of water is 1000 kg/m3

How much work is required to:

(i) pump all of the water over the side? ______________

(ii) pump all of the water out of an outlet 2 m over the side?________

use correct units!

2) A tank in the shape of an inverted right circular cone has height 5 meters and radius 3 meters. It is filled with 2 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is δ=1080 kg/m3. Your answer must include the correct units.

Work = _______________________

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