Answer to Question #250551 in Mechanics | Relativity for scaasc

Question

The average angular acceleration of a stone lodged in a rotating car wheel is 2 100 rads . What will the stone’s final angular speed be after 3.0 s, if it starts from rest? Also calculate its angular displacement during this time.

Answer 1

The angular speed will be

$$\omega=\alpha t=100·3=300\text{ rad/s}.$$

The angular displacement, starting from rest, is

$$\phi=\frac{\alpha t^2}2=450\text{ rad}.$$