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A cystlist riding a bicycle a bicycle at a speed of `14sqrt(3) ` m/s takes a turn around a circular a circular road of radius `20 sqrt(3)` m without skidding . What is his inclination to the vertical ?

A

`30^(@)`

B

`90^(@)`

C

`45^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
`theta = tan^(-1)(v^(2)/(rg)) = tan^(-1)[(14sqrt(3))^(2)/(20sqrt(3) xx 9.8)] =tan^(-1) (sqrt(3)) = 60^(@)`
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