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The equilibrium superelevation required to counteract the centrifugal forcefully is given by:
- a)V2/27.5R
- b)V2/75R
- c)(0.75V)2/127R
- d)V2/127R
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The equilibrium superelevation required to counteract the centrifugal...
For fast-moving vehicles, providing higher superelevation without considering the coefficient of friction is safe (f = 0), i.e. centrifugal force is fully counteracted by the weight of the vehicle or superelevation.
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∴ e = V2/127R
For slow-moving vehicles, providing lower superelevation considering the coefficient of friction is safe, i.e.centrifugal force is counteracted by superelevation and coefficient of friction.
∴ e = V2/127R ∴ To counteract centrifugal fully, superelevation to be provided should be, e = V2/127R
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The equilibrium superelevation required to counteract the centrifugal...
Equilibrium Superelevation
Equilibrium superelevation is the amount of raising of the outer rail above the inner rail level required to counteract the centrifugal force acting on a train when it moves on a curved track. The centrifugal force acting on the train tries to make the train move outward from the curve. The required equilibrium superelevation is given by the formula:
e = V^2 / 127R
where,
e = equilibrium superelevation
V = speed of the train in km/hour
R = radius of the curve in meters
Explanation of Options
a) V^2/27.5R
This formula is used to calculate the maximum allowable speed on a curve. It is not related to the equilibrium superelevation required for a curve.
b) V^2/75R
This formula is used to calculate the minimum radius of a curve for a given speed. It is not related to the equilibrium superelevation required for a curve.
c) (0.75V)^2/127R
This formula is incorrect. It is a variation of the correct formula but with a wrong constant value (0.75 instead of 1).
d) V^2/127R
This is the correct formula for the equilibrium superelevation required to counteract the centrifugal force acting on a train when it moves on a curved track.
Conclusion
Option 'D' is the correct answer as it gives the formula for the equilibrium superelevation required to counteract the centrifugal force acting on a train when it moves on a curved track. The other options are either unrelated or incorrect.
Equilibrium superelevation is the amount of raising of the outer rail above the inner rail level required to counteract the centrifugal force acting on a train when it moves on a curved track. The centrifugal force acting on the train tries to make the train move outward from the curve. The required equilibrium superelevation is given by the formula:
e = V^2 / 127R
where,
e = equilibrium superelevation
V = speed of the train in km/hour
R = radius of the curve in meters
Explanation of Options
a) V^2/27.5R
This formula is used to calculate the maximum allowable speed on a curve. It is not related to the equilibrium superelevation required for a curve.
b) V^2/75R
This formula is used to calculate the minimum radius of a curve for a given speed. It is not related to the equilibrium superelevation required for a curve.
c) (0.75V)^2/127R
This formula is incorrect. It is a variation of the correct formula but with a wrong constant value (0.75 instead of 1).
d) V^2/127R
This is the correct formula for the equilibrium superelevation required to counteract the centrifugal force acting on a train when it moves on a curved track.
Conclusion
Option 'D' is the correct answer as it gives the formula for the equilibrium superelevation required to counteract the centrifugal force acting on a train when it moves on a curved track. The other options are either unrelated or incorrect.
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The equilibrium superelevation required to counteract the centrifugal forcefully is given by:a)V2/27.5Rb)V2/75Rc)(0.75V)2/127Rd)V2/127RCorrect answer is option 'D'. Can you explain this answer?
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