Example 1:
A pulley of radius 20 cm turns at 6 revolutions per second. What is the linear velocity of the belt driving the pulley in meters per second?
Example 2:
A truck driver drives 55 miles per hour. Her truck's tires have a diameter of 24 inches. What is the angular velocity of the wheels in revolutions per second?
Two Smiley-face horses are positioned on a carousel as shown below.
The outside diameter of the carousel is 34.16 m.
1) Let's say the outside horse takes 15 seconds to complete one revolution.
Calculate the distance traveled by the outside horse during one complete
revolution.
2) How fast, in meters per second, is the outside horse moving?
3) If the inside diameter is 28.66 m, how fast in meters per second, is the inside
horse moving?
4) Compare your answers. Does this make sense to you?
5) When a carousel horse makes one complete rotation, what angle is that?
6) Compute the angular velocity for the inside and outside horses. Explain your
results.