Question

a particle is moving in a circular path of radius r.the displacement after half a circle would be________.

Answer 1

The answer will be 2r.

We all know that displacement is all about the total distance measured between initial and final points.

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.

Answer 2

Answer:

A particle is moving in a circular path of radius r.the displacement after half a circle would be 2r.

Explanation:

• Circular motion refers to the movement of an object along the perimeter of a circle or its rotation around a circle.
• The term "displacement" refers to the entire distance measured between the start and finish positions.
• However, the displacement in circular motion involves curvilinear motion. As a result, it is referred to as angular displacement
• . A simple formula may be used to calculate it. The formula is as follows:

          θ = s/r where,   θ ⇒ Angular displacement

                                     s  ⇒ Distance travelled

                                     r  ⇒  Radius of the circle

• In simplest terms, an object's angular displacement is the distance traveled around the circumference of a circle divided by its radius.

Now, as per the question,

Let OA = r

     OB = r

Thus, the total displacement from point A to B is  AB = r + r

                                                                           AB = 2r

∴ The displacement after completing a half-circle is 2r.

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