Answer to Question #114127 in Physics for Feker

Question

A wheel has a constant angular acceleration of 5rad/sec^2 starting from rest it turns through 300 rad.
A, what is the final angular velocity?
B, how much time elapses while it turns through the 300 radians?

Answer 1

(A) the final angular velocity

$$\omega_f=\sqrt{\omega_i^2+2\alpha \theta}\\ =\sqrt{0^2+2\times 5 \times 300}=55\:\rm rad/s.$$

(B) the time that elapses while a wheel turns through the 300 radians

$$t=\sqrt{\frac{2\theta}{\alpha}} =\sqrt{\frac{2\times 300}{5}}=11\:\rm s.$$