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

A bicycle wheel has a diameter of 64.2 cm and a mass of 1.82 kg.
Assume that the wheel is a hoop with all of the mass concentrated
on the outside radius. The bicycle is placed on a stationary stand
and a resistive force of 116 N is applied tangent to the rim of the
tire. (a) What force must be applied by a chain passing over a
9.04-cm-diameter sprocket in order to give the wheel an
acceleration of 4.56...

A bicycle wheel has a diameter of 63.4 cm and a mass of 1.83 kg.
Assume that the wheel is a hoop with all of the mass concentrated
on the outside radius. The bicycle is placed on a stationary stand
and a resistive force of 121 N is applied tangent to the rim of the
tire.
(a) What force must be applied by a chain passing over a
8.95-cm-diameter sprocket in order to give the wheel an
acceleration of 4.51...

MY NOTES ASK YOUR TEACHER A bicycle wheel in the shape of a hoop
has a diameter of 1.60 m and a mass of 1.60 kg. The bicycle is
placed on a stationary stand. The wheel is initially at rest. You
may ignore any effects due to the spokes on the wheel. A constant
force of 55.0 N is applied tangentially to the rim for 1.60 s.
There is a friction torque of 11.0 N.m at the axle. (a) Find...

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