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Question

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


Solution

Given:
Angular acceleration of the body = α=2 rad/s2
Initial angular velocity of the body = ω0=5 rad/s
Final angular velocity of the body = ω=15 rad/s
We know that:ω=ω0+αtt=ω-ω0α=15-51=10 sAlso, θ=ω0t+12αt2θ=5×10+12×1×100θ=50+50=100 rad

Physics
HC Verma - I
Standard XI

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