Question

Consider a hemispherical tank with a radius of 3 meters that is resting upright on its...

Consider a hemispherical tank with a radius of 3 meters that is resting upright on its curved side. Using 9.8 m/s^2 for the acceleration due to gravity and 1,000 kg/m^3 as the density of water, Set up the integral for the work required to pump the water out of the tank if:

(a) the tank is full of water and it is being pumped out of a 1-meter long vertical spout at the top of the tank.

(b) the tank is half full of water and it is being pumped out of a 1-meter long vertical spout at the top of the tank.

(c) the tank is full of water and it is being pumped out over the top of the tank.

(d) the tank is full of water but you just want to pump half the water out of the tank out over the top of the tank.

Science   Advanced-Physics   
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Answer #1

Work required to pump water is against the gravitational force.So,the work done is same as the change in gravitational potential energy of water.

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