Question

A wheel 213 cm in diameter takes 2.35 s for each revolution. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Correct Botation of a compact disc. Set Up: 1rev=2πrad Solve: The period is the time for 1 rev, so period =2.35 s. Part B Find the angular speed of the wheel in rad/s. Express your answer in radians per second.

Answer 1

The angular speed of a wheel 213 cm in diameter with a period of 2.35 s for each revolution is approximately 2.67 rad/s.

Step-by-step explanation:

To find the angular speed of the wheel in radians per second (rad/s), we use the given period of 2.35 s for one revolution. Since one revolution is 2π radians, the angular speed ω can be calculated by dividing the angle in radians by the time period.

ω = Θ / t = 2π rad / 2.35 s

Therefore, the angular speed of the wheel is approximately ω = 2.67 rad/s.