The Speed of Change: Centripetal Force

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Discussion Overview

The discussion revolves around the concept of the speed of change in the context of centripetal force and the effects of instantaneous displacement in a rotating system. Participants explore theoretical implications and physical limits related to changes in position and the propagation of forces.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions whether changes can have a speed, specifically in a system where one body rotates around another and experiences an instantaneous displacement.
  • Another participant asserts that the speed of change is limited to the speed of light (c), stating that all fields, including gravitational, propagate at this speed.
  • A further contribution illustrates this point by suggesting that if the Sun were to explode, the Earth would not feel the gravitational effects for approximately 8 minutes due to the finite speed of gravitational influence.
  • Another participant introduces the concept of acceleration as a measure of the speed of change, noting that it can vary and is not necessarily linear, referencing the term 'jerk' to describe higher-order changes in speed.
  • A participant expresses surprise at the theoretical existence of a speed of change and questions why this speed is limited to c, wondering if it could be instantaneous instead.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the speed of change, with some agreeing on the limit imposed by the speed of light while others question this limitation and explore alternative ideas.

Contextual Notes

There are unresolved assumptions regarding the nature of instantaneous changes and the implications of acceleration and jerk in this context. The discussion does not reach a consensus on the theoretical limits of speed of change.

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I was just thinking that whether changes have any speed.
Suppose we have a system in which a bodyA is rotating around an other body B through centripetal force. If B gets an instantaneous hit so that its position changes. Then what will be the speed of change or effect or whatever with which the displacement of B is communicated to A:confused:
 
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The speed is c.

All electric, magnetic, and gravitational fields move at c.
 
Which translates into: If B were the Sun and it suddenly exploded at this very moment, and A were the Earth, then we wouldn’t experience any gravitational effects for another 8 minutes.
 
Sure the speed of change can change. In classical physics, the speed of change is called acceleration - a first order [linear] change in speed v time. But the rate of change need not be linear, nor is it unphysical - in roller coaster design it is routine to consider second order changes in the speed of the speed of change. The technical term for this is 'jerk'. In geometry this can be compared to the difference between the area of a circle and volume of a sphere.
 
Last edited:
Chronos, I'm really surprised that such a thing like speed of change existed theoretically. But, why is there a limit (c) to this speed. Can't it be instantaneous.
 

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