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Math Help - Relative Velocity

  1. #1
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    Question Relative Velocity

    To a cyclist riding on bearing 090 True bearing at 25 km/h the wind appears to blow a t 20 km/h towards 305 T.
    What is the true speed and direction of the wind? (Answer is 14.347 km/h, 028 True bearing)

    I don't know how to solve this question. Would someone kindly please draw a vector diagram and explain it to me how to solve this question.
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  2. #2
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    Re: Relative Velocity

    I agree with the magnitude, but not the direction of the true wind given in your solution.


    True wind vector - rider velocity vector = apparent wind vector

    True wind vector = apparent wind vector + rider velocity vector

    using components ...

    W_T = [-20\cos(35)i + 20\sin(35)j] + (25i + 0j)

    |W_T| = 14.347 km/hr

    \theta = 53^\circ \, N of E ... true direction is 037
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