Question

When the center of a bicycle wheel has linear velocity relative to the ground, the velocity relative to the ground of point P’ at the top of the wheel is

Answers

  1. Answer:

    The velocity relative to the ground at the top of the wheel is twice the velocity relative to the ground at the center of the wheel.

    Explanation:

    The velocity relative to the ground is directly proportional to the distance from the point of contact between the ground and the bottom of the wheel, which represents the center of rotation. Hence, the velocity relative to the ground at the top of the wheel is:

    \frac{v_{top}}{v_{center}} = \frac{2\cdot R}{R}

    Where R is the radius of the wheel.

    v_{top} = 2\cdot v_{center}

    The velocity relative to the ground at the top of the wheel is twice the velocity relative to the ground at the center of the wheel.

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