Question

Calculate the rotational inertia of a wheel that has akinetic

energy of 24,400 J when rotating at 566 rev/min.

Answer 1

J = 14.4 kg*m^2

Step-by-step explanation:

Assuming that the wheel is not moving anywhere, and the kinetic energy is only due to rotation:

Ek = 1/2 * J * w^2

J = 2 * Ek / (w^2)

We need the angular speed in rad / s

566 rev/min * (1 min/ 60 s) * (2π rad / rev) = 58.22 rad/s

Then:

J = 2 * 24400 / (58.22^2) = 14.4 kg*m^2