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A curved road of diameter 1.8 km is ban...

A curved road of diameter 1.8 km is banked so that no friction is required at a speed of `30ms^(-1)`. What is the banking angle?

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A curved road of diameter 1*8 km is banked so that no friction is required at a speed of 30 ms^(-1) . What is the banking angle ?

A curve of radius 900 m is banked so that no friction is required at a speed of 30 ms^(-1) . Calculate the angle of banking.

Knowledge Check

  • A curved road of diameter 1.8 km is banked so that no friction is required at a speed of 30 ms ^(-1) . What is the banking angle ?

    A
    `tan ^(-1) (0.1)`
    B
    `tan ^(-1) (0.3)`
    C
    `tan ^(-1) (0.9)`
    D
    `tan ^(-1) (1.5)`
  • A turn of radius 600 m is banked for a vehicle of mass 200 kg going with a speed of 180kmh^(-1) . Determine the banking angle of its path.

    A
    `22.6^(@)`
    B
    `19.8^(@)`
    C
    `30.6^(@)`
    D
    `40.8^(@)`
  • 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
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    Civil engineers bank a road to help a car negotiate a curve. While designing a road they usually ignore friction. However, a young engineer decided to include friction in his calculation while designing a road. The radius of curvature of the road is R and the coefficient of friction between the tire and the road is mu . (a) What should be the banking angle (theta_(0)) so that car travelling up to a maximum speed V_(0) can negotiate the curve. (b) At what speed (V_(1)) shall a car travel on a road banked at theta_(0) so that there is no tendency to skid. (No tendency to skid means there is no static friction force action on the car). (c) The driver of a car travelling at speed (V_(1)) starts retarding (by applying brakes). What angle (acute, obtuse or right angle) does the resultant friction force on the car make with the direction of motion?

    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 body is projected at an angle of 30^(@) with the horizontal and with a speed of 30ms^(-1) . What is the angle with the horizontal after 1.5 second? (g=10ms^(-2))

    A body is projected at an angle of 30^@ with the horizontal and with a speed of 30 ms^-1 . What is the angle with the horizontal after 1.5 s ? (g = 10 ms^-2) .

    A car is negotiating a curved road of radius R. The road is banked at an angle theta. The coefficient of friction between the tyres of the car and the road is mu_(s). The maximum safe velocity on this road is: