Question

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)`

Answer 1

Correct Answer - 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)`