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Chapter 12: Q. 12 (page 294)

A drum major twirls a 96 -cm-long, 400g baton about its center of mass at 100 rpm. What is the baton's rotational kinetic energy?

Short Answer

Expert verified

The rotational kinetic energy of the baton is1.68J

Step by step solution

01

Step 1. Given information

The baton mass is 400 g.

The moment of inertia of a thin rod rotating about its center is I=112ML2.

For the baton,

I=112(0.400kg)(0.96m)2=0.031kgm2

02

Step 2. Calculation

The rotational kinetic energy of the baton is

Krot=12I蝇2=120.031kgm2(100rev/min)2蟺radrevmin60s2=1.68J

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