A point on the rim of a 0.30-m radius rotating wheel has a tangential speed of 4.0 m/s.What is the tangential speed of a point 0.10 m from the center of the same wheel?
A) 1.0 m/s
B) 1.3 m/s
C) 2.7 m/s
D) 8.0 m/s

Question

Quizplus · Accepted Answer

Tangential speed is directly proportional to radial distance from the center of rotation. Using the equation v = rω, where v is tangential speed, r is radial distance, and ω is angular velocity, we can solve for the tangential speed of the point 0.10 m from the center:

v = rω
v = (0.10 m)(4.0 m/s)/(0.30 m)
v = 1.3 m/s

Therefore, the correct answer is choice B.

A Point on the Rim of a 0