Question

A body moves in a circle of radius ‘2R’. What is the distance covered and the displacement of the body after 2 complete rounds?

Answer 1

Displacement = 0   {since u = v)
Distance = 2 ( 2 * 22/7 * 2R )
              = 2 ( 88R/ 7 )
              = 176R / 7
          
              

Answer 2

Answer:

The distance traveled would be equal to 8πR.

The distance traveled would be equal to zero.

Explanation:

The distance is the scalar quantity which is equal to the total length of a path.

So, the distance traveled would be equal to the twice the circumference of the circle.

The circumference of the circle of radius r would be equal to 2πr.

Thus, the circumference of the circle of radius 2R would be equal to 2π2R ⇒ 4πR.

So, the total distance would be equal to 2 x 4πR ⇒ 8πR.

In contrast, the displacement refers to the vector quantity which is equal to the shortest distance between the initial and final position of the object.

In a circular motion, initial and final positions are the same.  

Thus, the net displacement would be equal to zero.