Answer to Question #264974 in Physics for MCC

Question

A constant torque of 35 m∙N is applied to a wheel with a moment of inertia of 1.5 kg∙m2. (a) Find the angular acceleration.

(b) Find also the angular speed at the end of 25s, assuming the wheel starts from rest. Show your complete solution.

Answer 1

(a) The angular acceleration is

$$\alpha=\frac TI=23.3\text{ rad/s}.$$

(b) The angular speed is

$$\omega=\frac12\alpha t^2=\frac12·23.3·25^2=7281\text{ rad/s}.$$