Does centrifugal force have a gradient

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SUMMARY

Centrifugal force does exhibit a gradient in both magnitude and direction as a train navigates a curved track. When a train transitions from a straight section to a curve, the centrifugal force increases in magnitude and always acts perpendicular to the train's instantaneous direction of travel. This means that while the force remains constant at 90 degrees to the track, its orientation changes relative to an observer as the train moves along the curve. Thus, the perception of centrifugal force is dependent on the observer's point of view.

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  • Basic knowledge of centrifugal force and its properties
  • Familiarity with train dynamics and motion
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tomtomtom123
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Hello

I was wondering if centrifugal force had a gradient, what i mean by this is this:-

A train is traveling on a straight section of track with no centrifugal force.

The train then travels along a transition, as the train travels along the transition, the centrifugal force builds up i.e. its magnitude.

But what I want to know is does the direction of the centrifugal force change as the train travels along the transition or does the direction of centrifugal force remain unchanged i.e. always acting either to the right or to the left of the train depending on whether its a left or right hand curve.

Does the centrifugal force always act along the x-axis or does it change depending on the oritentation of the train and thus has a gradient?

Thank you for your help & insight
 
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tomtomtom123 said:
Hello

I was wondering if centrifugal force had a gradient, what i mean by this is this:-

A train is traveling on a straight section of track with no centrifugal force.

The train then travels along a transition, as the train travels along the transition, the centrifugal force builds up i.e. its magnitude.

But what I want to know is does the direction of the centrifugal force change as the train travels along the transition or does the direction of centrifugal force remain unchanged i.e. always acting either to the right or to the left of the train depending on whether its a left or right hand curve.

Does the centrifugal force always act along the x-axis or does it change depending on the oritentation of the train and thus has a gradient?

Thank you for your help & insight

with regard to the train itself, the centrifugal force is always 90deg to its forward (instantaneous) direction. With regard to the track, the direction is always 90deg to the track, but in relation to ourselves, stationary as we are, the directions are changing as long as the train is not moving in a straight line (Newton's Law: object in motion moves in straight line unless acted upon by an outside force)

so it depends on one's point of view.
 

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