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Question

On a highway, the maximum speed of vehicles is 25 m/s. The material of the road provides a coefficient of friction of 0.2. If the highway has a turn with a radius of curvature of 50 m, then what should be the banking angle for this turn to ensure the safety of the drivers?

A
sin1(0.2)
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B
cos1(0.5)
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C
tan1(0.84)
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D
tan1(1.2)
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Solution

The correct option is A tan1(0.84)
Given v=25 m/s,μ=0.2,r=50 m

Banking angle is given by the formula,
tanθ=v2μgrgr+μv2=2520.2×10×5010×500.2×252=1.4

θ=tan1(1.4)

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