1. A carousel rotates at a constant angular velocity of 0.2 rad/s. Determine the angle through which the carousel rotates in 1 minute.

2. The earth rotates around its axis at an angular speed of .

a. How long does it take to rotate 6.28 rad?

b. How many seconds are in 1 day?

c. Could you have done part a in your head?

a)

b)

c) Yes. 6.28 is about , which is one full rotation. The earth makes 1 full rotation per day.

3. The earth makes 1 full revolution around the sun per year (365 days). What is the earth’s rotational velocity in rad/s?

4. A fan starts from rest. After 3.2 s of constant angular acceleration, the fan turns at a rate of 2628 rad/s.

a. Find the fan’s angular acceleration.

b. Determine the angle through which the fan rotates during this period.