What is the smallest radius of a circular path on which a cyclist can travel with uniform speed of 36kmh−1, with angle of inclination (from vertical, for cyclist) 45∘ and g=10ms−2 ?
A
20m
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B
10m
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C
30m
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D
40m
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Solution
The correct option is B10m The components of Normal reaction for cyclist need to satisfy the equation of dynamics i.e. supporting the weight & centripetal force.
So, we have Nsinθ=mv2r.......(i) Ncosθ=mg..........(ii)
On dividing (i) by (ii), we get tanθ=v2rg ⇒r=v2gtanθ=10×1010×tan45∘=10m