Q. 47

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Found in: Page 332

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A 75 g, 6.0-cm-diameter solid spherical top is spun at 1200 rpm on an axle that extends 1.0 cm past the edge of the sphere. The tip of the axle is placed on a support. What is the top’s precession frequency in rpm?

The precession frequency of the top is .

See the step by step solution

## Given information

The mass of the spherical top is

The radius of the spherical top is

Spin angular velocity is

## Conversion

Convert spin angular velocity from to .

## The precession frequency of the top

The moment of inertia of the solid spherical top is .

The precession frequency is given by .

From the above two equations

Substitute the given values

## Precession frequency of the top in rpm

The precession frequency in rpm is

Therefore, the precession frequency of the top is .