Question

The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, and the distance from the center of mass to the pivot is 40 cm, what is the rotation rate in rev/s of the disk?

a) 2.00 rev/s
b) 1.25 rev/s
c) 0.50 rev/s
d) 0.75 rev/s

Answer 1

The rotation rate in rev/s of the disk is approximately 0.16 rev/s.

Step-by-step explanation:

The rotation rate in rev/s of the disk can be calculated by dividing the precession angular velocity by 2π. In this case, the precession angular velocity is 1.0 rad/s, so the rotation rate is 1.0 rad/s ÷ (2π rad/rev) ≈ 0.16 rev/s. Therefore, the correct answer is not provided in the options given.