A bicycle wheel of radius 0.70 m is rotating at an angular speed of 6.3 rad/s as it rolls on a horizontal surface without slipping. What is the linear speed of the wheel?
A)1.4 m/s
B)28 m/s
C)0.11 m/s
D)4.4 m/s
E)9.1 m/s

Question

Quizplus · Accepted Answer

The linear speed of a point on the rim of a rotating wheel is given by:

v = ωr

where ω is the angular speed of the wheel and r is its radius.

Substituting the given values, we get:

v = (6.3 rad/s) x (0.70 m) = 4.41 m/s

Therefore, the linear speed of the wheel is 4.4 m/s (to two significant figures), which corresponds to choice D.

A Bicycle Wheel of Radius 0