Question

Calculate the work in joules) required to pump all of the water out of a full tank. The distances (a = 8, b = 4, C = 3, and d = 1) are in meters, and the density of water is 1000 kg/m². In the rectangular tank in the figure below, the water exits through the spout. Assume that acceleration due to gravity is g = 9.8 m/s2. Round your answer to three decimal places.) * 106]

Answer 1

nk because Pumping Liquid out of tank requises work bece Liquid is moving against gravity. We imagine Liquid made up of small slices." we calculate work req. to lift the slice up and out of tank through sprout.

Given = a=sm b=4m c=3m d=1m P = density of water = 1000 kg/m3 Solution Z Tim Each slire needs to travel a distance of 3-2 dx tuLLLLLLLLLLL 14-2). TILL 3m volume ob slice - Area xlength = axbx dx = 32dx Mass ob Slice - SV = 1000 x 32 xdx Forre acting on each slices mass xgravity = 1810 x 32% dx Each slice travels a distance 0614-) work done by the pump = Forse x distance 9810X 32.x (4-2) da = 9810 X 32 X 114 -) dx 9810 x 32 x [4x=x210 = 98108324 = 2354400 J Work = 2.354 x 106 J . done Work done to empty the tank - 12.354 x 106J