A particle is moving along a circle such that it
completes one revolution in 40 seconds. In 2
minutes 20 seconds, the ratio displacement is
distance
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A particle is moving along a circle such that it
completes one revolution in 40 seconds. In 2
minutes 20 seconds, the ratio displacement is
distance
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Answer:
11
Explanation:
2 minute and 20 second means 140 seconds after this time it would have completed 3 circles and a half.
Therefore distance travelled will be 2πr×3.5
And it has travelled and stopped at opposite side, so Displacement will be 2r, right? You got that!
Great!, Now the ratio will be 2πR×3.5/2R
=3.5π= 3.5×22/7 = 11
Study Hard and SMART!
Solution:-
Let the diameter of the circle be "x".
Time taken to complete 1 revolution=40 sec.
Total time taken by the particle = 140 seconds.
=) In 140 seconds particle moves is 140/40 Rounds.
=) 140/40 = 3.5 Rounds.
Distance covered = 2 × π ×(x/2)×3.5
=) πx × 3.5
=) [22/7 × 3.5]x
=) 11x.
Now,
Ratio of Displacement to Distance = x : 11x
=) Ratio = 1 : 11