# A cyclist starts from centre O of a circular park of radius 1 km and moves along the path OPRQO as shown Fig.

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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 ms-1, what is his acceleration at point R in magnitude and direction?

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Centripetal acceleration at R is given by the relation, $a_c=\frac{v^2}{r}$

$a_c=\frac{v^2}{R}=\frac{(10)^2}{1000}=\frac{100}{10^3}=0.1m/s^2$   along RO.

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