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24 October, 05:24

A bicycle is rolling down a circular portion of a path; this portion of the path has a radius of 9.30 m. As the drawing illustrates, the angular displacement of the bicycle is 1.130 rad. What is the angle (in radians) through which each bicycle wheel (radius = 0.300 m) rotates?

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  1. 24 October, 07:59
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    The angle through which each bicycle wheel rotates is 35.03 rad.

    Explanation:

    Given;

    the radius of the circular path, R = 9.30 m

    the angular displacement of the bicycle, θ = 1.130 rad

    the radius of the bicycle wheel, r = 0.3

    S = θR

    where;

    s is the distance of the circular path

    S = 1.13 x 9.3 = 10.509 m

    The angle (in radians) through which each bicycle wheel of radius 0.300 m rotates is given as;

    θr = 10.509 m

    θ = 10.509 / 0.3

    θ = 35.03 rad.

    Therefore, the angle through which each bicycle wheel of radius 0.300 m rotates is 35.03 rad.
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