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A circular curve of a highway is designe...

A circular curve of a highway is designed for traffic moving at `72kmh^(-1)`. If the radius of the curved path is 100 m, the correct angle of banking of the road should be

A

`tan^(-1)``(2)/(5)`

B

`tan^(-1)``(3)/(5)`

C

`tan^(-1)``(2)/(5)`

D

`tan^(-1)``(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`V=sqrt(g R tan theta )rArr (20)^(2)=10xx100xxtan theta `
`rArr tan theta =(4)/(10)=(2)/(5)`
`rArr theta= tan ^(-1)(2//5) Ans : Non e`
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A circular curve of a highway is designed for traffic moving at 72 km/h. if the radius of the curved path is 100 m, the correct angle of banking of the road should be given by:

For traffic moving at 60km//h if the radius of the curve is 0.1km what is the correct angle of banking of the road Given g = 10m//s^(2) .

Knowledge Check

  • For traffic moving at 60 km/hour along a circular track of radius 0.1 km, the correct angle of banking is

    A
    `{(60)^(2)// 0.1 }` km
    B
    `tan^(-1) [((50//3)^(2))/(100 xx 9.8)]`
    C
    `tan^(-1) [(100 xx 9.8)/((50//3)^(2))]`
    D
    `tan^(-1) sqrt((60 xx 0.1 xx 9.8))`

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