An automobile tire has a radius of 0.380 m, and its center moves forward with al

Question

An automobile tire has a radius of 0.380 m, and its center moves forward with alinear speed of v = 18.0 m/s. (a) Determine the angular speed of the wheel.(Assume that there is no slipping of the surfaces in contact duringthe rolling motion.)
1 rad/s

(b) Relative to the axle, what is the tangential speed of a pointlocated 0.175 m from the axle?
2 m/s
(a) Determine the angular speed of the wheel.(Assume that there is no slipping of the surfaces in contact duringthe rolling motion.)
1 rad/s

(b) Relative to the axle, what is the tangential speed of a pointlocated 0.175 m from the axle?
2 m/s

Explanation / Answer

a) since v = r angular speed = v/r = 18.0m/s / 0.380m =47.37 rad/s b) speed u = R = 0.175m*47.37 rad/s = 8.29 m/s

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