# physics help

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An automobile tire has a radius of 0.280 m, and its center moves forward with a linear 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 during the rolling motion.)

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

i got a which was 64.2857 but cant figure out part b

• physics help -

C = 6.28*r = 6.28 * 0.28 m = 1.76 m.
C = Circumference.

T = C / V = 1.76 m / 18 m / s = 0.0977s
= time for one rev = period.

Va = C / T = 6.28 * r / T,
Va = (6.28 * 0.175) / 0.0977 = 11.25 m / s.

Alternate Method:

Va = r2 / r1 * 18 = 0.28 / 0.175 * 18 = 11.25 m / s.

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