Question

What is displacement of body if it cover three quarter of a circular track?

Answer 1

Given particle covers three quarters of a circle with radius R.

Distance travelled = 3/4(circumference of circle)

=3/4(2*pi* r)

= 3/2 ( pi* r).

DISPLACEMENT=SHORTEST PATH

= IF WE JOIN POINT A and B we get right angle triangle with

Hypotenuse(displacement) and other two sides of triangle with sides r.

Displacement =Sqr(r^2 +r^2)

=sqr(2r^2)

=r*sqr(2)

=1.41*r meters

Therefore Displacement covered by particle is 1.414*r m