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 12.0 cm. If the angular speed of the front sprocket is 0.600 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 5.00 m/s? The rear wheel has radius 0.330 m.

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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 12.0 cm. If the angular speed of the
front sprocket is 0.600 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 5.00 m/s? The rear wheel has radius 0.330 m.

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