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Q. 47

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

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

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 .

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