Angular speed?

Question

An automobile tire has a radius of 0.410 m, and its center moves forward with a linear speed of v = 10.0 m/s.

(a) Determine the angular speed of the wheel.

rad/s

(b) Relative to the axle, what is the tangential speed of a point located 0.175 m from the axle?

m/s

(All problems in this section assume that there is no slipping of the surfaces in contact during the rolling motion.)

Answer 1

a)

w = v/r

w = (10 m/s)/(.41 m)

w = 24.4 rad/s

b)

w = v/r

v = wr

v = (24.4 rad/s)(.175 m)

v = 4.27 m/s