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Question: Answered & Verified by Expert
A particle moves in a circle of radius 30 cm. Its liner speed is given by v=2t, where t is in second and v in m s-1. Find out its radial and tangential acceleration at t=3s, respectively,
PhysicsLaws of MotionNEET
Options:
  • A 220 s-2,50 s-2
  • B 100 s-2,5 s-2
  • C 120 s-2,2 s-2
  • D 110 s-2,10 s-2
Solution:
1480 Upvotes Verified Answer
The correct answer is: 120 s-2,2 s-2
Given that, the radius of the circle, r=30 cm=0.3 m

linear speed v=2t

Now, radial acceleration aR=v2r=2t20.3

at  t=3 s

aR=2×320.3

360.3=120 s-2

or  aR=120 s-2

and tangential acceleration aT=dvdt=ddt2t=s-2

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