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A wheel , starting from rest, turns, through 360 radwith a constant angular acceleration of 5 rad/s^(2). (i) what is its final angular velocity ? (ii) How much time elapseswhile it turns through the 360 radians ? |
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Answer» Solution :DATA : ` omega_(0) = 0 , THETA = 360 rad, prop = 5 " rad/s"^(2)` (i) ` omega^(2) omega_(0)^(2) + 2proptheta = 2 proptheta"" (thereforeomega_(0)=0)` (ii) ` theta = omega_(o) t + 1/2prop t^(2)( thereforeomega_(0) =0) ` ` t^(2) = (2theta)/prop = (2(360))/5 = 144 ` The requiredtime interval, t =12 s |
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