Question

# A cyclist starts from centre O of a circular park of radius 1 km and moves along the path OPRQO as shown in figure. If he maintains constant speed of 10 $$ms^{-1}$$, what is his acceleration at point R ?

A
10 ms2
B
0.1ms2
C
0.01ms2
D
1ms2

Solution

## The correct option is D 0.1$$ms^{-2}$$The acceleration at point $$R$$ is towards the center of the circle.Here, $$v = 10 ms^{-1}$$, $$r = 1 km = 1000 m$$Centripetal acceleration, $$a_{c}=\dfrac{v^{2}}{r}$$    $$=\dfrac{(10 ms^{-1})^{2}}{1000 m} = 0.1 ms^{-2}$$Physics

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