1) Estimate the pressure exerted on a floor by a 1200- k g elephant standing on

Question

1)

Estimate the pressure exerted on a floor by a 1200-kg elephant standing on one foot (area = 900cm2 ).

2)

In working out his principle, Pascal showed dramatically how force can be multiplied with fluid pressure. He placed a long, thin tube of radius r = 0.28cm vertically into a wine barrel of radius R = 20cm as shown in the figure below. He found that when the barrel was filled with water and the tube filled to a height of h = 13m , the barrel burst.

We found that the mass of the water in the tube was 0.32 kg.

Calculate the net force exerted by the water in the barrel on the lid just before rupture.

Estimate the pressure exerted on a floor by a 1200-kg elephant standing on one foot (area = 900cm2 ). In working out his principle, Pascal showed dramatically how force can be multiplied with fluid pressure. He placed a long, thin tube of radius r = 0.28cm vertically into a wine barrel of radius R = 20cm as shown in the figure below. He found that when the barrel was filled with water and the tube filled to a height of h = 13m , the barrel burst. We found that the mass of the water in the tube was 0.32 kg. Calculate the net force exerted by the water in the barrel on the lid just before rupture.

Explanation / Answer

1 pressure = F/area = mg/area = 1200*9.8/0.09 = 130666.7 N = 1.31e05 N

2 pressure bu tube = mg/(tube area) = 0.32*0.98/(pi*0.28e-02)^2) = 1.273e05 pa

force on barrel = pressure*(area of barrel) = 1.273e05*pi*R^2 = 1.273e05*pi*0.2^2 = 1.6e04 N = 16 kN

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