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neering Mai x C Chegg Study I Guided Sol x c Chegg Study I Guided Sol... X 110% e search https://session masteringengineering.com/myct/temview?assignmentProblemID 55914688 offset next Dynamics WT 2017a Signed in as Jose Burciaga Help Close Assignment 13 (16 6.3 Rotational K Question 5 Resources previous l 5 of 5 l return to assignment Part A Question 5 If A has a constant angular acceleration of aA 32 rad/s? determine the tangential component of acceleration of a point located at the rim of B when t 5 s, starting from rest The driving belt is twisted so that pulley B rotates In the Express your answer to three significant figures and include the appropriate units. opposite direction to that of drive wheel A. Figure 1 Figure 1 of 1 (ap) Value Units My Answers Give U Submit 200 mm 125 mm Part B If A has a constant angular acceleration of aA 32 rad/s2 determine the normal component of acceleration of a point located at the rim of Bwhen t 5 s, starting from rest Express your answer to three significant figures and include the appropriate units. (ap) Value Units Submit My Answers Give Up 52 AM Ask me anything 4/20/2017

Explanation / Answer

Consider that the wheel A is starting from rest.
Angular velocity of wheel A after 5 sec is,
wA = wi + at
wA = 0 + 32*5 = 160 rad/s

Angular velocity of pulley B will be.
wARA = wBRB
wB = 160*0.2/0.125 = 256 rad/s

Angular acceleration of Pulley B after 5 sec will be,
a =( wB - wi)/ t = (256 - 0)/ 5 = 51.2 rad/s2
Tangential acceleration component of a point located on the rim of pulley B is ,
at =r x a = 0.125*51.2 = 6.4 m/s2

Normal acceleration component of a point located on the rim of pulley B is,
aN = r x wB2 = 0.125*2562 = 8192 m/s2

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