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If you increase the rotation rate of a precessing gyroscope, will the precession rate increase or decrease?

Short Answer

Expert verified
If you increase the rotation rate of a precessing gyroscope, the precession rate will decrease.

Step by step solution

01

Understand Gyroscope Precession

A gyroscope precesses (changes the direction of its rotational axis) due to the torque caused by gravity pulling down on the gyroscope while it has angular momentum. The rate of precession is the rate at which this change in the direction of the rotational axis occurs.
02

Relationship between Rotation Rate and Precession Rate

The angular momentum of a gyroscope is given by the product of its moment of inertia and its rotational speed. Applying torque to a gyroscope (the force of gravity, for instance) induces precession, and this precession motion behaves as though it is trying to align the gyro's spin axis with the axis of the applied torque. In simple terms, the precession motion resists the force applied to it.
03

Effect of Increasing Rotation Rate

As we increase the rotation rate of a gyroscope, its angular momentum increases, making it harder for the torque due to gravity to change the direction of this vector. Hence, the precession rate decreases. In other words, faster spin results in slower precession.

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