While riding on the multispeed bicycle, the rider can choose the radius of the rear sprocket which is fixed to the rear axle. The front sprocket of a bicycle consists of radius 11.5 cm.
When the angular speed of the front sprocket is 0.650 rev/s, determine 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 consists of radius 0.310 m.