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A cyclist is moving in a circular path o...

A cyclist is moving in a circular path of radius 20 m with a velocity of 18 km`cdot h^(-1)` , what is his inclination with the vertical?

Text Solution

Verified by Experts

Let the angle of inclination of the cyclist with the vertical be `theta`.
The magnitude of the velocity, i.e., speed of the cyclist
v = `(18 xx 1000)/(60 xx 60 ) = 5 m cdot s^(-1)`
and radius of the circular path (r) = 20 m.
We know that, tan`theta = (v^(2))/(r g ) = (5 xx 5)/(20 xx 9.8)` = 0.1276
`therefore " " theta = tan^(-1) (0.1276) = 7.27^(@)`
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