Question

During a testing process, a worker in a factory mounts a bicycle wheel on a stationary stand and applies a tangential resistive force of 115 N to the tire's rim. The mass of the wheel is 1.40 kg and, for the purpose of this problem, assume that all of this mass is concentrated on the outside radius of the wheel. The diameter of the wheel is 55.0 cm. A chain passes over a sprocket that has a diameter of 9.25 cm. In order for the wheel to have an angular acceleration of 4.00 rad/s2, what force, in Newtons, must be applied to the chain? (Enter the magnitude only.)

Answer 1

Radius of wheel

Radius of chain

Tangential force on wheel , Mass of wheel

Required agnular acceleration of wheel

Moment of inertia of wheel is

Torque on the wheel due to resistive force and force applied to chain is

Force applied to the chain is