A bicycle has wheels that are 60 cm in diameter. What is the angular speed of these wheels when it is moving at 4.0 m/s?
A) 1.2 rad/s
B) 7.6 rad/s
C) 13 rad/s
D) 0.36 rad/s
E) 4.8 rad/s

Question

Quizplus · Accepted Answer

The angular speed (ω) can be calculated using the formula ω = v/r, where v is the linear speed and r is the radius of the wheel. The radius is half the diameter, so r = 60 cm / 2 = 30 cm = 0.3 m. Therefore, ω = 4.0 m/s / 0.3 m = 13.33 rad/s, which is approximately 13 rad/s.

A Bicycle Has Wheels That Are 60 Cm in Diameter