Question

A wheel rotating at 490 rev/min accelerate uniformly at 0.5 rad/s2 for 30 second.

1 .find the angular velocity after 30s

2 . pulley peripheral speed

3 . angle turned through by a wheel during this time

Answer 1

Given:

$\omega_0=2\pi*490*1/60=51.3\rm\: rad/s$

$\alpha=0.5\:\rm rad/s^2$

$t=30\:\rm s$

1.

$$\omega_f=\omega_0+\alpha t=51.3+0.5*30=66.3\:\rm rad/s$$

2. Not Enough Data

3.

$$\theta=\omega_0t+\alpha t^2/2\\ =51.3*30+0.5*30^2/2=1764\:\rm rad$$