NmbassignmentProblemID 77933064 BIOPHYS-1 231-002 Spring Semester 2017 Ch 08 HYY

Question

NmbassignmentProblemID 77933064 BIOPHYS-1 231-002 Spring Semester 2017 Ch 08 HYY Problem 8.14 previous 5 of 7 Problem 8.14 Part A A 53cm-diameter wheel accelerates uniformly Determine its angular acceleration about its center from 150 rpm to 370 rpm in 49 s Express your answer using two significant figures. rad/s? Submit My Answers Grue Up Part B Determine the radial component of the linear acceleration of a point on the edge of the wheel 1.0 safterit has started accelerating Express your answer to two significant figures and include the appropriate units. OR Submit My Answers

Explanation / Answer

a)

Angular acceleration = change in angular speed/ time taken = (370-150)*(2pi/60)/4.90 = 4.70 rad/s^2

(It is multiplied by 2pi/60 to convert rpm into rad/s)

b)

angular speed after 1 second = omega_0 + alpha t = 150*(2pi/60) + 4.70*1 = 20.41 rad/s.

Hence the radial acceleration = omega^2*r = 20.41^2*0.53 = 220.78 m/s^2

c)

Tangential acceleration = alpha * r = 4.70*0.53 = 2.49 m/s^2

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