Question

find the displacement of a body in circular path of r for (1) 1/4th of its revolution and (2) half of its revolution

Answer 1

For half revolution
Displacement is the shortest distance travelled from the initial point to the final point. After half revolution the displacement is the length of the diameter which is equal to 2r. Hence the displacement is 2r.


For 1/4 revolution
displacement- the shortest path between both start and end points.

i.e. from Pythagoras theorem, square of hypotenuse is equal to two times of square of radius.

displacement = root(2)*radius i.e.

displacement= 1.4142*r