Question

An object is moving in a circular path of radius r. What would be the displacement of the object after half a circle.

Answer 1

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✦ Required Answer:

♦️ GiveN:

• A object is moving in a circular path of radius r.
• He covered half of the path.

♦️ To FinD:

• Displacement of the object....?

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✦ Explanation of Q.

The above question is asking about the displacement of the object when it covers half of the circular path. Before that, let's focus on the definition of displacement.

$\large{\underline{\underline{\rm{\purple{Displacement}}}}}$

The displacement is the shortest path between the initial and final point. And, it is the straight line between them, because a straight line joining the points is the shortest path ever possible between two points.

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⚠️ Keeping this mind, let's solve this question...

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✦ Solution:

⏺ Refer to the attachment....

Let the body starts from point A and reaches point B, that is what it covers half of the circle. We know that displacement is the shortest path between any two points. So, hence, the diameter of the circle (shown in red dotted line), is the shortest path between A and B.

Hence, $\large{\boxed{\rm{\green{Disp.= Diameter \:of \:the \:circle}}}}$

Given, Radius of the circle = r

So, diameter of the circle = 2r

Hence, Displacement = 2r

But distance is the actual path covered by the body i.e. half the circumference of the circle ( $\large{\rm{\pi r}}$

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Answer 2

Explanation:

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