Halliday, Fundamentals of Physics, 10e PRINTERVERSION.? -BACK Chapter 10, Proble

Question

Halliday, Fundamentals of Physics, 10e PRINTERVERSION.? -BACK Chapter 10, Problem 016 A merry-go-round rotates from rest with an angular acceleration of 1.25 rad/s. How long does it take to rotate through (a) the first 1.12 rev and (b) the next 1.12 rev? (a) Number (b) Number Click if you would like to Show Work for this question: Open Show Work roblem Units Problem Units Problem Problem Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANS Problem Problem Problem 10:59 PM edugen/shared/assignment/testa glistuni?id:asnmt2 1 393 184N 100E3

Explanation / Answer

1.12 rev. = 2 pi *1.12 radians
              = 7.03 rad.

Theta = wo t + alpha t2/2
theta is angular displacement, alpha is angular acceleration, wo is initial angular velocity.
As rotation starts from rest wo = 0

t = ( 2 * theta/ alpha)1/2
Time for first 1.12 rev.
t1 = (2*7.03 /1.25)1/2
     = 3.35 sec
b) Time for 2.24 rev.( 14.06 rad), t = (2*14.06/1.25)1/2 = 4.74 sec
Time for second 1.12 rev. t2 = t - t1 = 1.39 sec.
   

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