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On January 15, 1919, a cylindrical tank of molasses ruptured, and poured out ove

ID: 2206622 • Letter: O

Question

On January 15, 1919, a cylindrical tank of molasses ruptured, and poured out over the streets of Boston in a 9 m deep stream. Pedestrians and horses were killed, and buildings were knocked down. (This is true!)

Suppose the tank (height H = 88.6 m, diameter d = 3.73 m) was full of molasses (density ? = 1680 kg/m3). Find F, the magnitude of the total force exerted by the molasses on the sides of the tank before it broke.
HINT: This is a problem like the dam problem we did in class. Since the pressure changes, you will have to integrate to find the force!
1 N On January 15, 1919, a cylindrical tank of molasses ruptured, and poured out over the streets of Boston in a 9 m deep stream. Pedestrians and horses were killed, and buildings were knocked down. (This is true!)

Suppose the tank (height H = 88.6 m, diameter d = 3.73 m) was full of molasses (density ? = 1680 kg/m3). Find F, the magnitude of the total force exerted by the molasses on the sides of the tank before it broke.
HINT: This is a problem like the dam problem we did in class. Since the pressure changes, you will have to integrate to find the force!
1 N

Explanation / Answer

F=P*A P=h*d*g=.886*1680*9.8 A=pi*(dia/2)^2=pi*(3.73/2)^2 so F=1.6 * 10^5 N