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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:
Displacement:
Distance:
Ratio of Displacement to Distance:
Conclusion:
- 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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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 for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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 covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.
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 for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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 covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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