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 11.5 cm.
If the angular speed of the front sprocket is 0.650 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 4.50 m/s? The rear wheel has radius 0.310 m