Angular and Linear Velocity Worksheet

Angular and Linear Velocity

Read each question carefully and answer to the best of your ability. Show all your work for calculations.

1. Which of the following units is commonly used for angular velocity?

2. If a point on a rotating disk moves at a linear velocity 'v' and is at a distance 'r' from the center, what is the angular velocity 'ω'?

3. Angular velocity is the rate of change of   displacement.

4. The direction of linear velocity for an object in circular motion is always   to the circle's path.

5. An object moving in a circle with constant speed has a constant linear velocity.

6. For a rigid body rotating about a fixed axis, all points on the body have the same linear velocity.

7. A bicycle wheel has a radius of 0.35 m. If the wheel is rotating at an angular velocity of 12 rad/s, what is the linear velocity of a point on the rim of the wheel?

8. Explain the difference between angular velocity and angular frequency. Are they always the same?

9. Consider the image of gears rotating. If the larger gear has a radius of 10 cm and is rotating at 5 rad/s, and it meshes with a smaller gear of radius 4 cm, what is the angular velocity of the smaller gear? Assume no slipping.