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
`45^(@)`
C
`60^(@)`
D
`80^(@)`
Text Solution
Verified by Experts
The correct Answer is:
C
The inclination of the cyclist with the vertical is given by ` tan theta = (V^(2))/(rg ) =( 14 sqrt(3)xx14 sqrt(3))/(20sqrt(3)xx9.8)=(196 sqrt(3))/(196)` ` therefore tan theta = sqrt(3) therefore theta = 60 ^(@)`
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