A bicycle wheel has a diameter of 63.0 cm and a mass of 1.76 kg. Assume that the

Question

A bicycle wheel has a diameter of 63.0 cm and a mass of 1.76 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 120 N is applied tangent to the rim of the tire.
(a) What force must be applied by a chain passing over a 8.98 cm diameter sprocket if the wheel is to attain an acceleration of 4.43 rad/s2?
1 .
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. _________N

(b) What force is required if the chain shifts to a 5.65 cm diameter sprocket?_____________________

Explanation / Answer

let the force applied by a chain be F

=> net torque = F*(0.0449) - 120*(0.315)

which is equal to I

we have I=mr^2 =1.76*(0.315)^2

=>F*(0.0449) - 120*(0.315)=1.76*(0.315)^2 * 4.43

=>F=859.10 N

(b)F*(0.0282) - 120*(0.315)=1.76*(0.315)^2 * 4.43

=>F= 1367.85 N

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