Riding a multispeed bicycle. PHYSICS.?

DY kt SPEC

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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 14.0 .

-If the angular speed of the front sprocket is 0.500 , 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 4.50 ? The rear wheel has radius 0.310 .
 
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