Question

A gyroscope consists of a uniform disc of mass radius M= 2 kg and radius R= 0.2 m . The disc spins with an angular speed ω= 300 rad⋅s-1 as shown in the figure below. The gyroscope precesses, with its axle at an angle 30∘ below the horizontal (see figure). The gyroscope is pivoted about a point d= 0.4 m from the center of the disc. What is the magnitude of the precessional angular velocity Ω (in radians/sec)?

Ω=

Answer 1

(M*g*d)/(0.5*M*R^2*w)