Question

a body is moving on a circular path of 1 0m covers 1upon 4th of the circle find the distance and displacements​

Answer 1

Answer:

Here a body moves over one fourth of a circular arc in a circle of radius r

We have,

Perimeter of a circle =2πr

The magnitude of the distance travelled by the body is equal to the perimeter

of the one fourth of the circular arc

Perimeter of one fourth of the circular arc =

4

2πr

=

2

πr

Displacement is the minimum distance to the destination.

Here the displacement can be calculated by using pythagorous theorem.

Displacement =

r

2

+r

2

=

2r

2

=r

2

So, the magnitude of distance travelled is

2

πr

and the

dispacement is r

2