The surface pressure on Venus is 92.00 atm, and the acceleration due to gravity

Question

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 1.65 m , and the benzene column is 10.70 m tall. Ignore any effects due to the very high temperature on Venus.

Part A

What total force is exerted on the inside surface of the bottom of the tank?

Express your answer using four significant figures.

F=__________N

Part B

What force does the Venusian atmosphere exert on the outside surface of the bottom of the tank?

Express your answer using four significant figures.

F=__________N

Part C

What total inward force does the atmosphere exert on the vertical walls of the tank?

Express your answer using four significant figures.

F=__________N

Explanation / Answer

A) F = PAbot = (Po + bengh)(d2/4) = [(92 * 101325) + (876 * 0.894 * 9.81 * 10.7)] * ( * 1.652 / 4) = 2.011 * 107 N

B) F = PoAbot = (92 * 101325) * ( * 1.652 / 4) = 1.993 * 107 N

C) F = PoAside = Po(dh) = (92 * 101325) * ( * 1.65 * 10.7) = 5.170 * 108 N

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