A body rotates about a fixed axis with an angular acceleration of one radian/second/second. Through what angle does it rotate during the time in which its angular velocity increases from 5 rad/s to 15 rad/s.


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α= 1 rad/s2, ω0 = 5 rad/s; ω = 15 rad/s
w = w0 + αt
 t = (ω – ω0)/α = (15 – 5)/1 = 10 sec
Also, θ = ω0t + 1/2 αt2
= 5 ×10 + 1/2 × 1 × 100 = 100 rad.

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