Question

An object is moving along a circular path of radius R. What will be the displacement of the object after three-fourth of revolution?

Answer 1

Answer:

as object covered three fourth revolution therefore its displacement will be chord AB

by Pythagoras theorem

${ob}^{2} + {oa}^{2} = {ab}^{2} \\ {r}^{2} + {r}^{2} = {ab}^{2} \\ 2 {r}^{2} = {ab}^{2} \\ \sqrt{2} r = ab$