Moderate

Moving along the circumference of a circle completes two revolutions. If the radius of the circular path is R, the ratio of displacement to the covered path will be_______________?

Correct answer: C. 0

  • A. πR
  • B. 2πR
  • C. 0
  • D. 4πR

Explanation

After two complete revolutions, the body returns to its starting point, so its displacement is 0 m. The path covered is 2 × 2πR = 4πR, but the ratio of displacement to path is therefore 0 m/(4πR) = 0. Students may choose 4πR by giving the distance travelled instead of the requested ratio.

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Displacement is the directed change in position, while velocity is the rate of change of displacement and includes both magnitude and direction. The topic connects position-time and velocity-time graphs with average and instantaneous values, and distinguishes displacement from distance and velocity from speed.

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