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    How is the angle between the tangent line and direction of vo equal to the angle moved by point A (which is initially below O)?

    [See Figure 1]

    It does make sense 'visually.' If \theta = \frac{\pi}{2}, it is evident that both will have right angles. Same goes when it is 0, pi, and so on...

    But what is the geometrical proof behind this? E.g., using parallel lines, perpendicular lines, corresponding angles, vertical angles, etc...

    Figure 1



    ALSO:

    Out of curiosity, how much energy due to friction is lost when a wheel rotates on a ground?
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    (Original post by Alpha-Omega)
    Out of curiosity, how much energy due to friction is lost when a wheel rotates on a ground?
    Updated diagram is self explanatory I think.

    Re. your last question. None, when the surface is horizontal and the wheel is moving with constant speed.
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Updated: April 10, 2013
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