Question

A closed and elevated vertical cylindrical tank with diameter 2.20 m contains water to a depth...

A closed and elevated vertical cylindrical tank with diameter 2.20 m contains water to a depth of 0.900 m . A worker accidently pokes a circular hole with diameter 0.0180 m 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 5.00×103Pa at the surface of the water. Ignore any effects of viscosity.

Part A

Just after the hole is made, what is the speed of the water as it emerges from the hole?

Part B

What is the ratio of this speed to the efflux speed if the top of the tank is open to the air?

Part C

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

Part D

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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