A closed and elevated vertical cylindrical tank with diameter 2.20 mm contains water to a depth of 0.900 mm . A worker accidently pokes a circular hole with diameter 0.0180 mm in the bottom of the tank. As the water drains from the tank, compressed air above the water in the tank maintains a gauge pressure of 5.00×103 Pa at the surface of the water. Ignore any effects of viscosity.   A) How much time does it take for all the water to drain from the tank? B) What is the ratio of this time to the time it takes for the tank to drain if the top of the tank is open to the air?

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A closed and elevated vertical cylindrical tank with diameter 2.20 mm contains water to a depth of 0.900 mm . A worker accidently pokes a circular hole with diameter 0.0180 mm in the bottom of the tank. As the water drains from the tank, compressed air above the water in the tank maintains a gauge pressure of 5.00×10Pa at the surface of the water. Ignore any effects of viscosity.

 

A) How much time does it take for all the water to drain from the tank?

B) What is the ratio of this time to the time it takes for the tank to drain if the top of the tank is open to the air?

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