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(1796) Problem 3: Consider the 11 kg motorcycle wheel shown in the figure. Assum

ID: 1781173 • Letter: #

Question

(1796) Problem 3: Consider the 11 kg motorcycle wheel shown in the figure. Assume it to be approximately a ring with an inner radius of 0.265 m and an outer radius of 0.34 m. The motorcycle is on its center stand, so that the wheel can spin freely Otheexpertta.com @ 33% Part (a) Ifthe drive chain exerts a force of 2300 N at a radius of4.8 cm what is the angular acceleration of the wheel, in radians per square second? b) What is the tangential acceleration in meters per square second, of a point on the outer edge of the tire? SS 33% Part Grade Summary Deductions Potential Submissions sin0 acoso 4 516 per attempt) detailed view 484 404 grees O Radians Feedback: 5 deduction per feedback Hints: 4t% deduction per hint. Hints remaining: l Submission History Totals Hints Answer at 32.9 at-1836 0% 056 | 14% 486 Note: Feedback not access Totals se 33% Part (c) How long, in seconds, starting from re

Explanation / Answer

I = m*(R1^2 + R2^2) /2

= 11*(0.265^2 + 0.34^2)/2

= 1.022 kg m^2

Torque, T = F*r

= 2300*0.048 = 110.4 N m

a) Angular acceleration,a

a = T/I

= 110.4/1.022

= 108.02 rad/s^2

b) At = a*R2

= 108.02*0.34

= 36.73 m/s^2

c) t = w/a

= 87/108.02

= 0.805 s