A bicycle has a wheel of radius of 14.0 inches.What is the angular speed of the wheels when the bicycle has a forward speed of 8.0 m/s?
A)12.3 rad/s
B)19.4 rad/s
C)22.5 rad/s
D)32.1 rad/s
E)45.2 rad/s

Question

Quizplus · Accepted Answer

We can use the formula:

v = ω*r

where v is the linear speed, ω is the angular speed, and r is the radius of the wheel.

First, we need to convert the forward speed of 8.0 m/s to inches/s:

8.0 m/s * 39.37 in/m = 314.96 in/s

Then, we can solve for ω:

ω = v/r = 314.96 in/s / 14.0 in = 22.5 rad/s

Therefore, the answer is C.

A Bicycle Has a Wheel of Radius of 14