Question

(2) The work required to pump the fluid from a tank (between a units and b units above the bottom of a tank) of constant mass-density p out to a height h above the bottom of the tank is given by W- pg(cross-sectional area at y)(distance fluid at y needs to be lifted) dy where g is the acceleration due to gravity and y is the distance from bottom of the tank. Note: Water has a mass-density of p 10 kg/m3 (SI units) and a force-density of pg = 62.4 lb/ft3 (in English units). Beware of English units. (a) A water tank is in the shape of a right-circular cylinder of radius 1 m and height 3 m laying on its side. Assuming the tank is half-full, how much work (in J) is required to pump all the water out to the top of the tank (2 meters above the bottom of the tank) Hint: Setup a vertical axis so that y = 0 is the center of the circular (vertical) cross-section and the positive direction goes down

Answer 1

3 m 3千