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You rev your car\'s engine and watch the tachometer climb steadily from 1200 rpm

ID: 1464729 • Letter: Y

Question

You rev your car's engine and watch the tachometer climb steadily from 1200 rpm to 5500 rpm in 2.7 s. Part A What is the angular acceleration of the engine? Express your answer using two significant figures. av = rad/s2 SubmitMy AnswersGive Up Part B What is the tangential acceleration of a point on the edge of the engine's 3.5cm-diameter crankshaft? Express your answer using two significant figures. at = m/s2 SubmitMy AnswersGive Up Part C How many revolutions does the engine make during this time?

Explanation / Answer

w1 = 1200 rpm = 1200*2*pi/60 = 125.7 rad/s


w2 = 5500 rpm = 5500*2*pi/60 = 575.96 rad/s


alfa = (w2-w1)/t

= (575.96 - 125.7)/2.7

= 166.8 rad/s^2 <<<<<<<<<-----------Answer


a_tan = r*alfa

= (0.035/2)*166.8

= 2.92 m/s^2 <<<<<<<<<-----------Answer

angular dispalcement, theta = (w2^2 - w1^2)/(2*alfa)

= (575.96^2 - 125.7^2)/(2*166.8)

= 947 rad

= 947/(2*pi)

= 151 <<<<<<<<<-----------Answer

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