Derivatives of Energy: 2nd Time Rate of Change, Useless in Physics?

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SUMMARY

The discussion centers on the concept of the second time rate of change of energy, often referred to as the rate of change of power with time. While this notion exists, it is rarely utilized in practical physics applications, as the focus typically remains on instantaneous energy delivery rather than its temporal changes. In fields such as race-car performance measurement, higher derivatives like jerk and jounce are relevant, but the term for the second time rate of change of energy remains undefined. In electrical power engineering, understanding the change of power is crucial, despite the absence of a specific term for this concept.

PREREQUISITES
  • Understanding of basic physics concepts such as energy and power
  • Familiarity with derivatives in calculus
  • Knowledge of race-car performance metrics including velocity and acceleration
  • Awareness of electrical power engineering principles
NEXT STEPS
  • Research the concept of "rate of change of power" in electrical engineering
  • Explore higher-order derivatives in physics, such as jerk and jounce
  • Study applications of power measurements in race-car performance analysis
  • Investigate the implications of global growth in power demand on engineering practices
USEFUL FOR

Physicists, electrical engineers, race-car performance analysts, and anyone interested in the advanced concepts of energy dynamics and power measurement.

dsaun777
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I have seen the usage of a term which corresponds to changing energy per time and that would be power. Are there any such corresponding terms that can be described as 2nd time rate of change of energy, a sort of acceleration of energy. Is such a notion non existent in physics and completely useless?
 
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dsaun777 said:
a sort of acceleration of energy. Is such a notion non existent in physics and completely useless?
The notion exists - it's the rate of change of power with time - but there aren't that many situations where it's needed. We usually care more about how much energy is being delivered at a given moment then whether it will be more or less a moment later.
 
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In race-car performance measuring, for example, not only velocity (1st derivative of position wrt time), and acceleration (2nd derivative), but also, jerk (3rd), and jounce-snap (4th -- rate of change in rate of change of acceleration), are measured for all of the over-time changes and their accumulating results in every part of each of the torque-rpm pictures.
 
If you include engineering in physics, then change of power is a concept that, not surprisingly, is a pretty important concept in (electrical) power engineering.
 
Filip Larsen said:
If you include engineering in physics, then change of power is a concept that, not surprisingly, is a pretty important concept in (electrical) power engineering.
That's true but we don't have a special word for it. Just "rate of change of power." or "global growth in power demand."
 

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