Question

A body is moving along a circular path of Radius R. What will be the distance covered and the displacement of the body after half revolution

Answer 1

Let us assume that a body starts from point A to point B. Here it covers half of the revolution. If it (body) return backs to its initial point i.e. A then it covers the one complete revolution.

Given that, a body is moving along a circular path of Radius 'R'.

Distance covered in one round = Circumference of circle.

{ Circumference of circle = 2πr }

But we have to find the distance covered and the displacement of the body after half revolution.

Therefore,

Distance covered in half revolution = 1/2 × Circumference of circle

= 1/2 × 2πr

= πr

Where given radius is 'R'. So, r = R.

Distance covered in half revolution = πR

Now,

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

So, Displacement in half of its revolution or journey is equal to the diameter of the circle.

Now, Diameter of circle = 2 × radius of circle

= 2 × R

Therefore,

The Displacement of the body after half revolution is 2R.

Answer 2

Answer:

Distance is path length covered by particle. When particle moves along half circle, it covers half the circumference therefore distance covered is (2×pi×r)/2 = pi× r. ... Hence displacement is equal to diameter or 2 times the radius of circle.

Explanation: