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.)
rad/s

(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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