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A drum major twirls a 93-cm-long, 460 g baton about its center of mass at 150...

A drum major twirls a 93-cm-long, 460 g baton about its center of mass at 150 rpm .

What is the baton's rotational kinetic energy?

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Answer #1

Mass of the baton = M = 460 g = 0.46 kg

Length of the baton = L = 93 cm = 0.93 m

Moment of inertia of the baton about it's center of mass = I

I = 0.03315 kg.m2

Angular speed of the baton = = 150 rpm = 150 x (2/60) rad/s = 15.708 rad/s

Rotational kinetic energy of the baton = E

E = 4.09 J

Rotational kinetic energy of the baton = 4.09 J

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