Does centrifugal force have a gradient

AI Thread Summary
Centrifugal force does not have a gradient in the traditional sense, as it always acts perpendicular to the direction of motion of the train. As the train transitions from a straight track to a curve, the magnitude of the centrifugal force increases, but its direction remains constant at 90 degrees to the train's instantaneous direction of travel. From the perspective of an observer on the ground, the direction of the centrifugal force appears to change as the train moves along the curve. Thus, while the force's orientation is consistent relative to the train and track, it varies based on the observer's viewpoint. Understanding this concept is crucial for analyzing forces in curved motion.
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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