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Q.

A body initially at rest (θ=0 and ω=0 at t=0 ) and is accelerated over a circular path of radius R=1 m as per the relation, α=120t2-48t+16 rads2. At time t=1 sec  

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a

centripetal acceleration ac=1024 ms2. 

b

tangential acceleration aT=88 ms2. 

c

angular velocity ω=32 rads. 

d

angular displacement θ=10 rad. 

answer is A, B, C, D.

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Detailed Solution

0ωdω=01αdt=01120t2-48t+16dt 0θdθ=01ωdt aT=Rα aC=ω2R

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