Trigonometry
3.4 D2: Linear and Angular Velocity HW
Name _____________________________
1. A wheel is spinning 30rpm (revolutions per minute).
a) Convert the angular velocity to radians per minute.
b) Find the linear velocity of a point on the edge of the wheel if the wheel has a radius of 22 in.
2. Earth revolves on its axis once every 24 hours.
a) Find the angular velocity of Earth in radians per hour.
b) If the radius of the earth is 3963 miles, find the linear velocity of a person standing at the equator.
3. The propellers on an average freighter have a radius of 4 feet. At full speed ahead the propellers turn at 100
revolutions per minute. What is the speed (linear velocity) at the tip of the blade?
4. Jack and Jill are riding on a Ferris Wheel. Jack observes it takes 20 sec to make a complete revolution
Their seat is 25 feet from the axis of the wheel. What is their linear velocity?
5. A tennis court roller is 28 inches in diameter. It makes 1.5 revolutions per second. How fast is the roller
moving across the court?
6. Flynn drives a scooter at 34 inches per second. The tires have a radius of 14 inches. What is the angular
velocity of the tire?
7. A CD rotates 2,700 revolutions per minute. Find the linear velocity of a point 4 cm from the center of the
disc.
8. David puts a rock in his sling and starts twirling it around. He realizes that in order for the rock to reach
Goliath it must leave the sling at a linear velocity of 60 feet per second. He swings the sling in a circular
path with a radius of 4 feet. What must the angular velocity be in order for David to achieve his objective?