hw_2 - ME 152A (Fall 2008) Prof. Sumita Pennathur HW #2 1....

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1 ME 152A (Fall 2008) – Prof. Sumita Pennathur HW #2 1. HYDROSTATICS Oil spills may occur in ports where oil tankers are loaded. The density of oil ρ o is less than that of water, w , and the two fluids are immiscible, so that when a spill occurs, the oil simply spreads out in a layer on top of the water. To contain any possible spills, a semi-circular “oil boom” is deployed at a Radius R around the dock where the loading takes place. The boom is a barrier which floats on the water, its bottom is submerged and its top a bit above the water surface, as shown. This barrier prevents the oil from spreading past it, at least if the spill is not too great. Suppose a volume V of oil is spilled inside the boom. After sufficient time has elapsed for the situation to reach static conditions, calculate, in terms of o , w , R and V and g , (a) Find the height of the top of the water inside the oil boom relative to the surface of the water outside the oil boom ( h 1 -h w ). (b)
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This note was uploaded on 04/02/2010 for the course ME 152a taught by Professor Meinhart,c during the Spring '08 term at UCSB.

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hw_2 - ME 152A (Fall 2008) Prof. Sumita Pennathur HW #2 1....

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