A racer can bend his bike at a maximum angle of 53∘ with the vertical plane. If he approaches a curve driving with a velocity of 126km/h, what should be the turning radius to make a safe turn?
A
100.81m
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B
156.25m
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C
90m
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D
94.23m
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Solution
The correct option is D94.23m v=126km/h=35m/s
For a safe turn without skidding, tanθ=v2rg ⇒sinθcosθ=v2rg ⇒sin53∘cos53∘=v2rg ⇒4535=352r×10 ⇒r=12251.3×10=94.23m