In this worksheet, we will practice calculating the precession angular velocity of a gyroscope given its mass, radius, and rate of revolution.

**Q2: **

The precession angular velocity of a gyroscope is 2.5 rad/s. 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?

**Q3: **

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?

**Q4: **

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 the gyroscope?

**Q5: **

A spinning top has a moment of inertia kg⋅m^{2} 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?