Question

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 1

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!

Answer 2

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