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In this lesson, we will learn how to calculate the precession angular velocity of a gyroscope given its mass, radius, and rate of revolution.
A gyroscope has a disk of mass
and radius 0.100 m. The disk spins at 40 rev/s. The center of mass of the disk is 0.10 m from a pivot. What is the precession angular velocity of the gyroscope?
The precession angular velocity of a gyroscope is
The mass of the rotating disk is 0.82 kg
and it has a radius of 50.0 cm. The distance from the center of mass to the
pivot is also 50.0 cm. What is the rotation rate of the disk?
A gyroscopically spinning top has a precession frequency of
5.0 rad/s on Earth.
If the spinning top was used on the Moon, what would its precessional frequency be?
A gyroscope spins with its tip on the ground which produces negligible frictional
resistance. The gyroscope disk has a radius of
5.0 cm and a mass of
0.30 kg and spins at
20 rev/s. The
center of mass of the gyroscope’s disk is at a
5.0 cm displacement from
its tip along the rotational axis of the gyroscope. What is the precessional period of
A spinning top has a moment of inertia
kg⋅m2 and a radius of
5.00 cm from the center of mass
to the pivot point. The top spins at 33 rev/s and it is precessing. Through how many
revolutions does the top precess in 12 s?
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