Answer to Question #11507 in Mechanics | Relativity for Nero

Question

A torque of 12 Nm is applied to a disk of radius 0.50m. If the disk accelerates at 5.7 rad/s^2 what is the mass of the disk?

Answer 1

Torque = moment of inertia x angular acceleration
Moment of inertia = 0.5 * m
* r * 2
T = 0.5 * m * r * 2 * a
12 = 0.5 * m * 0.50 * 2 * 5.7
m = 12 /
(0.5 * 0.50 * 2 * 5.7) = 4.21 kg