A car has to negotiate a curve of radius 200m. By how much should the outer side of the road be raised with respect to the inner side for a speed of 72km/h. The width of the road is 1m. (g=10m/s2)
A
0.2cm
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B
2cm
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C
20cm
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D
None of these
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Solution
The correct option is C20cm Given, v=72km/h=72×518=20m/s w=1m,r=200m
To negotiate the curve, the condition is tanθ=v2rg
Also, from the figure, we know tanθ=hw ∴v2rg=hw ⇒h=v2wrg=202×1200×10=0.2m ∴h=0.2m=20cm