A particle is moving in a circle of diameter 10m . Calculate the distance travelled by the particle and it's displacement on completing one and half revolution
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Answers
Answer:
- Distance = 47.1m
- Displacement = 10m
Explanation:
Given that,
A particle is moving in a circle of diameter 10m
And completes 1½ revolution.
Distance covered by the particle is given by :-
→ 1½ of the circumference of the circle.
Circumference of a circle is 2πr
Where, r is the radius which will be ½ of 10 = 5m.
Then, circumference is :-
→ 2πr
Taking π as 3.14
→ 2 × 3.14 × 5
→ 10 × 3.14
→ 31.4
Distance covered by the particle is :-
→ 31.4 × 1½
→ 31.4 × 3/2
→ 47.1m
∴ Distance covered by the particle is 47.1m
Calculating displacement :-
Since it completes one and then half
So firstly when it completes 1 round the displacement would be zero as it comes to same point again
And then it moves half round again.
Where the displacement would be it's diameter.
Hence, the displacement is 10m only.