Force/ Total Inward Force The surface pressure on Venus is 92.00 atm, and the ac

Question

Force/ Total Inward Force
The surface pressure on Venus is 92.00 atm, and the acceleration due to gravity there is 0.894 g. In a future exploratory mission, an upright cylindrical tank of benzene is sealed at the top but still pressurized at 92.00 atm just above the benzene. The tank has a diameter of 1.81m , and the benzene column is 10.70 m tall. Ignore any effects due to the very high temperature on Venus.

a)What total force is exerted on the inside surface of the bottom tank? In newtons

b)What force does the Venusian atmosphere exert on the outside surface of the bottom of the tank? In newtons

c)What total inward force does the atmosphere exert on the vertical walls of the tank? In newtons

Explanation / Answer

The total force exerted on the inside surface of the bottom ofthe tank is F = (P/A) Here,P = 92 atm and A = pr2,where r = (1.81/2)= 0.905 m The force the venusian atmosphere exert on the outside surfaceof the bottom of the tank is F = (P/A) Here,P = ?gh,where ? = 900 kg.m-3,g = 9.8m/s2 and h = 12.10 m The total inward force the atmosphere exert on the verticalwalls of the tank is F = (P/A) Here,P = 92 atm and A = 2prh,where,r = 0.905 m and h =12.10 m

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