Q. 47

Expert-verifiedFound in: Page 332

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 .

The mass of the spherical top is

The radius of the spherical top is

Spin angular velocity is

Convert spin angular velocity from to .

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

The precession frequency in rpm is

Therefore, the precession frequency of the top is .

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