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Unformatted text preview: this distance in the time it takes to travel from the mound to the plate). A baseball is obviously spherical, but for the purposes of this problem we will take it to be cylindrical (with axis oriented vertically), with a mass per unit depth of 2 kg/m and a diameter of 7 cm. Suppose that the pitch is thrown with a velocity of 80 mph. The distance from the mound to homeplate is 60 ft 6 in, and the density of air is 1.2 kg/m 3 . Using potential ﬂow theory (and thus ignoring drag forces), estimate the rotation rate (in rev/min) that the pitch must be thrown with in order to achieve the desired break. (Note: for rigid body rotation, the vorticity is equal to twice the rotation rate. Relate circulation to this.)...
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This note was uploaded on 10/09/2009 for the course MAE 150A taught by Professor Eldridge during the Spring '09 term at UCLA.
 Spring '09
 ELDRIDGE

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