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The pressure at the bottom of a full barrel of water is P original . Determine w

ID: 1402264 • Letter: T

Question

The pressure at the bottom of a full barrel of water is Poriginal. Determine what happens to the pressure when the radius or height of the barrel is changed and water is added to make the barrel full again.

What happens to the pressure at the bottom of the barrel if the radius is increased by a factor of 2 and more water is added to fill the barrel to the top again?

What happens to the pressure at the bottom of the barrel if the height is increased by a factor of 2 and more water is added to fill the barrel to the top again?

O Pressure does not change. Original × ariginal Original × new x2 new Pnew- Poriginal /4 new origin

Explanation / Answer

the pressure at the bottom of a barrel full of water with height h is given as
P0+pho*g*h

where P0=atmospheric pressure
g=acceleration due to gravity
h=height of the water in the barrel

so the pressure will only increase, if the height increases.

hence when the radius is increased, there wont be any change in pressure.

when the height is doubled, the pressure will be approximately twice the original pressure


hence for first question, option 1 is correct.

for second question, option 1 is correct.

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