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2015-10-07T14:15:37+05:30

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U = 0
v = 100 rev/s = 200*pi rad/s = 628 rad/s
t = 4s
angular acceleration, a = (628-0)/4 = 157 rad/s^2
angle rotated = (v^2 - u^2)/2a = (628^2)/2*157 = 1256 rad
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2015-10-09T23:09:19+05:30

This Is a Certified Answer

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Ω1 = initial angular velocity = 0  rad/sec
ω2 = final angular velocity
     = 100 rev /sec * 2π radians/revolution
     = 200 π radians/sec
time duration = 4sec

angular acceleration α = (ω2 - ω1) / t  = 50 π  rad/sec²

angle rotated in time t = 0 to 4sec :
       Ф = ω1 t + 1/2 α t²  =  0 + 1/2 * 50π * 4² = 400 π radians.
           = 200 revolutions.

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