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A curved road having a radius of cu...

A curved road having a radius of curvature of 30 m is banked at the correct angle . If the speed of the car is to be doubled , then the radius of curvature of the road should be

A

62 m

B

120 m

C

90 m

D

15 m

Text Solution

Verified by Experts

The correct Answer is:
B
` tan theta =(v^(2))/(rg ) " " therefore v^(2) = rg tan theta `
`((v_(2))/(v_(1)))^(2) =((r_(2))/(r_(1))) therefore r_(2)= 4r_(1) = 120 m`
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Knowledge Check

  • A curved road of 50m in radius is banked to correct angle for a given speed. If the speed is to be double keeping the same banking angle, the radius of curvature of the road should be changed to.

    A
    `200m`
    B
    `100m`
    C
    `50m`
    D
    none of these

  • Select the correct equation for optimum speed of a car on a banked road of angle of banking theta and radius of curvature r.

    A
    `v= sqrt(rg)`
    B
    `v=sqrt(rg sin theta)`
    C
    `v= sqrt(rg tan theta)`
    D
    `v= sqrt(rg cos theta)`

  • The maximum safe speed for which a banked road is intended , is to be increased by 20%. IF the angle of banking is not changed , then the radius of curvature of the road should be changed from the 30 m to

    A
    36.3m
    B
    21.1m
    C
    43.2m
    D
    63.2m

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