Home
Class 11
PHYSICS
A circular curve of a highway is designe...

A circular curve of a highway is designed for traffic moving at `72km//h`. If the radius of the curved path is `100m`, the correct angle of banking of the road should be given by `:`

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`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 46|6 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 47|7 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 44|5 Videos

  • CURRENT ELECTRICITY

    RESONANCE|Exercise Exercise|54 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

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) .

For traffic moving at 60 kmh^(-1) , if the radius of the curve is 0.1 km , what is the correct angle of banking of the road? Take g = 10ms^(-2) .

Knowledge Check

  • 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:

    A
    `tan^(-1).(2)/(3)`
    B
    `tan^(-1).(3)/(5)`
    C
    `tan^(-1).(2)/(5)`
    D
    `tan^(-1).(1)/(4)`

  • A circular curve of a highway is designed for traffic moving at 72 km/h. If the radius of the curved path is 100m, the correct angle of banking of the road shold be given by :

    A
    `tan^(-1)(2)/(3)`
    B
    `tan^(-1)(3)/(5)`
    C
    `tan^(-1)(2)/(5)`
    D
    `tan^(-1)(1)/(4)`

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

    A
    `tan^-1(60^2/0.1)`
    B
    `tan^-1[(50//3)^2/(100times9.8)]`
    C
    `tan^-1[(100times9.8)/(50//3)^2]`
    D
    `tan^-1sqrt((60times0.1times9.8))`

    • Similar Questions

    Explore conceptually related problems

    (a) Find the maximum speed at which a car turn round a curve of 30 m radius on a level road if the coefficient of friction between the tyres and the road is 0.4 [ acc. Due to gravity = 10 m // s^(2) ] (b) For traffic moving at 60 km/hr , if the radius of the curve is 0.1 km , what is the correct angle of banking of the road ? ( g = 10 m // s^(2))

    A banked circular highway curve is designed for traffice moving at 65km/h. The radius of the curve is 200 m. Traffic is moving along the highway at 40 km/h on rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to take the turn without sliding off the road? (Assume the cars do not have negative lift.)

    At what should a highway be banked for cars travelling at a speed of 100 km/h if the radius of the road is 400 m and no frictional forces are involved?

    The two rails of a railway track are 1.7 m apart. At a circular curve of radius 1.5 km, a train should have an optimum speed of 108 kmph so that there is no side thrust on the outer rail. Find the angle of banking of the track and the elevation of the outer rail above the inner rail .

    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

    Home
    Profile