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A particle moving along a circle such that it completes one revolutuion in 40 seconds. In 2 minutes 20 seconds the ratio (displacement/distance) is
Most Upvoted Answer
A particle moving along a circle such that it completes one revolutuio...
Given:

  • Time taken to complete one revolution = 40 seconds

  • Total time taken = 2 minutes 20 seconds = 140 seconds



Displacement:

  • Displacement is the shortest distance between the initial and final position of the particle.

  • As the particle moves along a circle, the displacement after one revolution is zero.

  • Therefore, the displacement after 2 minutes 20 seconds is also zero.



Distance:

  • Distance is the total length of the path travelled by the particle.

  • For one revolution, the distance travelled is equal to the circumference of the circle.

  • Let the radius of the circle be 'r'.

  • Then, the circumference of the circle is 2πr.

  • As the particle completes one revolution in 40 seconds, its speed is given by:


speed = distance/time = 2πr/40


  • Therefore, the distance travelled by the particle in 2 minutes 20 seconds is:


distance = speed × time = (2πr/40) × 140


Ratio of Displacement to Distance:

  • As the displacement is zero, the ratio of displacement to distance is zero.

  • Therefore, the required ratio is 0:distance or simply 0.



Conclusion:

  • The displacement of the particle after 2 minutes 20 seconds is zero.

  • The distance travelled by the particle in this time is (2πr/40) × 140.

  • The ratio of displacement to distance is zero.

Community Answer
A particle moving along a circle such that it completes one revolutuio...
For one revolution 2pi *r distance is covered. For 1 revolution 40 s required ,so 140 s(2min 20 s) require 3.5 revolution. 3.5 revolution =7pi *r distance. So displacement =2R.ratio =2/(7*3.14).ie, 1/11
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A particle moving along a circle such that it completes one revolutuion in 40 seconds. In 2 minutes 20 seconds the ratio (displacement/distance) is
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