Chapter Objectives

• Define the following terms: angular displacement, angular velocity, and angular acceleration.
• Solve for angular displacements, velocities, and accelerations of systems that are undergoing contant acceleration.
• Convert angular variables to linear variables.

Conceptual Questions

1. If a car's wheels are replaced with wheels of greater diameter, will the reading of the speedometer change? Explain.
2. Why does mud fly off of a rapidly turning wheel?
3. Explain the difference between centripetal and angular acceleration.

Problems

1. Convert the following angles in degrees to radians: 30^o, 45^o, 60^o, 90^o, 180^o, 270^o, and 360^o.
2. A potter's wheel moves from rest to an angular speed of 0.20 rev/s in 30 s. Find its angular acceleration in radians per second per second.
3. A car is traveling at 17.0 m/s on a straight horizontal highway, which we assume extends from our left to our right. The wheels of the car have radii of 48.0 cm. If the car speeds up with an acceleration of 2.00 m/s² for 5.00 seconds, find the number of revolutions of the wheels during this period.
   
   Solutions

Last Modified: September 28, 2006