question_answer 48)

                  A cyclist starts from centre O of a circular park of radius 1 km and moves along the path OPRQO as shown Fig. If he maintains constant speed of \[10\,m{{s}^{-1}},\] what is his acceleration at point R in magnitude and direction?

Answer:

                    \[a=\,\frac{{{\upsilon }^{2}}}{r}=\,\frac{100}{2\times \,1000}\,=\,0.05\,\,m{{s}^{-2}}\] (centripetal acceleration) Direction is along RO.