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0.475 rad/s Supporting Materials Physical Constants 4. 0/1 points | Previous Ans

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Question

0.475 rad/s Supporting Materials Physical Constants 4. 0/1 points | Previous Answers OSColPhys1 10.P.021.WA My Notes Ask Your 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 1.30 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 8.75 cm. In order for the wheel to have an angular acceleration of 3.30 rad/s2, what force, in Newtons, must be applied to the chain? (Enter the magnitude only.) 716.2 Consider the direction of the torques produced by the resistive force and the chain. N Supporting Materials Physical Constants Submit Answer Save Progress Submit Assignment Save Assignment Progress Home My Assignments Extension Request WebAssign8 401997-2018 Advanced Instructional Syntems, Inc All rights reserved

Explanation / Answer

Using Torque Balance

Net Torque = Applied Torque - Friction torque

Tnet = T - Tf

Tnet = I*alpha = M*R^2*alpha

T = F*r

Tf = Ff*R

Given values are:

Ff = 135 N

R = 0.275 m = 27.5 cm

r = 4.375 cm = 0.04375 m

alpha = 3.30 rad/sec^2

M = 1.30 kg

Using these values:

1.30*0.275^2*3.3 = F*0.04375 - 135*0.275

F = [1.30*0.275^2*3.3 + 135*0.275]/0.04375

F = 855.987 N = 856.0 N

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