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A cyclist starts form centre O of a cir...

A cyclist starts form centre ` O` of a circular park of radius ` 1 km` and moves along the path ` OPRQO` as shown Fig. 2 (EP).15. If he maintains constant speed of ` 10 ms^(-1)`, what is his acceleration at point (R )in magnitude and direction ?
.

A

10 m `s^(-2)`

B

0.1 m `s^(-2)`

C

0.01 m `s^(-2)`

D

1 m `s^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
The acceleration at point R is towards the centre of the circle.
Here, `v=10ms^(-1),r=1km=1000m`
Centripetal acceleration `a_(c)=(v^(2))/(r)=((10ms^(-1))^(2))/(1000m)=0.1ms^(-2)`
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