During a testing process, a worker in a factory mounts a bicycle wheel on a stationary stand and applies a tangential resistive
force of 135 N to the tire's rim. The mass of the wheel is 1.90 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 60.0 cm. A chain passes over a sprocket that has a diameter of 8.75 cm. In order for the wheel to have an angular acceleration of 3.70 rad/s2, what force, in Newtons, must be applied to the chain?
The moment of Inertia I is mathematically evaluated as
Substituting for M(Mass of the wheel) and for (Radius of wheel)
The torque on the wheel due to net force is mathematically represented as
Substituting 135 N for (Force acting on sprocket), for (radius of the chain) and F is the force acting on the sprocket due to the chain which is unknown for now
This same torque due to the net force is the also the torque that is required to rotate the wheel to have an angular acceleration of and this torque can also be represented mathematically as
A force is exerted by the elevator to the suitcase, according to 3th Newton's law an equal force but in the opposite direction will appeared on the suitcase, that is: