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Boomerang Tutorial

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For the case of a cross-shaped boomerang,<br />

where V, ω and a are the velocity, spin speed<br />

and radius of the boomerang as before, and<br />

A S = πa 2 (the swept area of the boomerang).<br />

, and equations 1, 5 and 7 can be arranged to give<br />

From equations 2, 3 and 6, we find that the<br />

radius R of the circular flight path is<br />

independent of spin speed ω and forward<br />

velocity V, and that it is a constant for a given<br />

boomerang:<br />

R = (4J) / (ρC L πa 4 ) (7)<br />

Sunday, May 30, 2010 18

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