g While riding a multispeed bicycle, the rider can select the radius of the rear sprocket that is fixed to the rear axle. The front sprocket

Question

g While riding a multispeed bicycle, the rider can select the radius of the rear sprocket that is fixed to the rear axle. The front sprocket of a bicycle has radius 14.0cm. If the angular speed of the front sprocket is 0.700 rev/s,what is the radius of the rear sprocket for which the tangential speed of a point on the rim of the rear wheel will be 6.00 m/s? The rear wheel has radius 0.350m.

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Hồng Cúc 5 years 2021-08-20T07:24:34+00:00 1 Answers 246 views 0

Answers ( )

  1. linhdan
    0
    2021-08-20T07:26:20+00:00
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    Answer:

    R = 3.59 cm

    Explanation:

    Angular speed of rear wheel and sprocket

    ω = v/R = 6.00 / 0.350 = 17.1428 rad/s

    Tangential speed of the front sprocket is

    v = ωR = 0.700(2π)(14.0) = 61.5752… cm/s

    we want the rear sprocket to have the same tangential speed as the front sprocket.

    61.5752 = 17.1428R

    R = 3.59188

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