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Compute each part of given question:
Question: A brewery ferments beer in a raised and closed tank. The tank is a vertical cylinder, with a diameter 1.80m and contains fluid to a depth of 0.900m. An over-eager beer drinker makes a round hole in the bottom of the tank with a diameter 0.0140m in the bottom of the tank. As the beer flows out from the tank, compressed air above it maintains a gauge pressure of 5.00 × 103Pa at the surface of the beer. Treat the beer as having the same density as water, and ignore any effects of viscosity.
Part I: Just after the hole is made, what is the speed of the beer as it emerges from the hole?
Part II: What is the ratio of this speed to the the speed it would have if the top of the brewing tank were open to the air?
Part III: How long does it take for all the beer to drain from the tank?
Part IV: 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?
Any help I can get on this question is greatly appreciated! I'm not too familiar with this question.
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