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Question

A car has to negotiate a curve of radius 200 m. By how much should the outer side of the road be raised with respect to the inner side for a speed of 72 km/h. The width of the road is 1 m. (g=10 m/s2)

A
0.2 cm
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B
2 cm
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C
20 cm
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D
None of these
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Solution

The correct option is C 20 cm
Given, v=72 km/h=72×518=20 m/s
w=1 m,r=200 m
To negotiate the curve, the condition is
tanθ=v2rg


Also, from the figure, we know
tanθ=hw
v2rg=hw
h=v2wrg=202×1200×10=0.2 m
h=0.2 m=20 cm

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