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RunXC asked in Science & MathematicsPhysics · 1 decade ago

How fast, in rpm, would a 140 g, 60 cm diameter beach ball have to spin to have an angular momentum?

How fast, in rpm, would a 140 g, 60 cm diameter beach ball have to spin to have an angular momentum of 0.14 kg*m^2/s?

please show the work to back it up!

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  • 1 decade ago
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    Well, we know that angular momentum is L= I*w, where I=(moment of inertia) and w=angular frequency. The moment of inertia of a spherical shell is 2/3*M*R^2.

    So we know that I=(2/3)(.140kg)*(.3^2).

    we'll set L=0.14 kg*m^2/s=(2/3*.140*.09)*w and solve for w.

    W is in radians per second, which to get to rpms you'll use the conversion 2*pi radians/revolution and 60 seconds/minute. In other words, multiply w by 50 and divide by 2*pi, and you'll have your answer!

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