Question

- An object is moving in a circle of radius 'r'. Calculate the distance and displacement
(i) when it completes half the circle
(ü) when it completes one full circle.
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Answer 1

$\huge\green{i):-}$

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Distance

$perimeter \: = 2\pi \: r$

When it completes half circle,then perimeter is

$perimeter = \frac{2\pi \: r}{2} \\ = \pi \: r$

Displacement= Shortest distance between Initial and final position

$displacement \: = 2r$

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$\huge\green{ii):-}$

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Distance

When it covers one circle,

$distance = circumference \: of \: circle$

$distance = 2\pi \: r$

Displacement

When it covers one circle,

Displacement= Shortest distance between Initial and final position

$displacement = 0$

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