A bicycle has tires of radius 0.35 meters. If the bicycle is traveling at a constant speed of 7.8 m/s, at approximately what angular speed are the tires rotating?
A)85 rev/min
B)197 rev/min
C)214 rev/min
D)327 rev/min
E)423 rev/min

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. First, calculate ω in radians per second: ω = 7.8 m/s / 0.35 m = 22.29 rad/s. Convert this to revolutions per minute: (22.29 rad/s) * (60 s/min) / (2π rad/rev) ≈ 213.5 rev/min, which is approximately 214 rev/min.

A Bicycle Has Tires of Radius 0