A particle is moving in a circular path of radius r, its displacement after half a circle would be a) 2r b) πr c) d) 2πr e) 0

Answer: a) 2r

The movement of a body following a circular path is called a circular motion.

  • The total distance measured between the start and ending points is known as displacement.
  • The displacement may be easily estimated once the particle has covered half of the circle by measuring the distance between the beginning and final points.

After half-circle displacement = AB = OA + OB

Given

  • OA = r
  • OB = r

∴ AB = r + r

AB = 2r

As a result, the displacement after completing a half-circle is 2r.

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