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hw3F09

# hw3F09 - AAE333 Fall 2009 Problem Set#3 Due Monday 10 bonus...

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AAE333 Fall 2009 Problem Set #3 Due: Monday 9/21/09 10% bonus if turned in on Friday 9/18/09 5 problems. No more will be added 1. [10 points] A relief valve on a dam is made of a 400lb, 3ft by 3ft block, placed horizontally. When the water behind the dam is deep enough the door will open and let water out. You are considering two possible designs: one where the door is hinged on one edge and can only rotate around the hinge and one where it is mounted on vertical rails so the door can only move up and down. Determine the height of water the two designs can hold back. Which will hold more? 2. [10 points] Consider a velocity field Where is the vector position measured from some point and r is its magnitude (ie the distance from the origin) a) Determine the Cartesian velocity components u, v, w in terms of the Cartesian coordinates x, y, z b) Sketch the velocity vectors at a number of points around a circle in the z=0 plane, assuming F=1. Is the fluid moving away from 0 or toward 0?

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AAE333 Fall 2009 c)
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