Question

A particle is moving in a circular path of radius r. The displacement after half a circle would be. *

a) Zero

B) ^r

C) 2r

D)2^r​

Answer 1

Answer:

2r

After the particle covers half path of the circle, the displacement can be easily calculated by measuring the distance between initial and final points. Displacement after half circle = AB=OA + OB Hence, the displacement after half circle is 2r.Jun 4, 2015

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Explanation:

Answer 2

Given that, a particle is moving in a circular path of radius 'r'.

We have to find the displacement after a half revolution.

Displacement is defined as the shortest path travelled between the initial and final points.

[ Refer the attachment ]

Let us assume that the particle start moving from A to B here it covers the half of the revolution of the circle. If it returns back to it's initial position i.e. A then it completes the one complete revolution.

For one complete revolution:

Displacement of the particle is zero, because it's initial and final points are same.

But we have to find the displacement after a half revolution.

So, for half revolution:

Displacement of the particle is equal to it's diameter. And diameter is twice of radius.

Therefore, the displacement after a half revolution is 2r.

Option c) 2r