Demystifying the Equation: Understanding the Meaning of Variables in dp/dt=F

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Discussion Overview

The discussion centers around the equation dp/dt = F, specifically focusing on the meaning of the variables involved, particularly the 'd' notation and its interpretation in the context of calculus and physics. Participants explore the terminology and concepts related to derivatives and changes in momentum over time.

Discussion Character

  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about the 'd' variable in the equation dp/dt = F, suggesting it may have a different name in their country.
  • Another participant clarifies that 'd' is not a variable but denotes the derivative, specifically the rate of change of momentum with respect to time.
  • A participant questions whether 'd' is equivalent to delta, indicating that understanding this relationship helps clarify their confusion.
  • Further clarification is provided that delta and 'd' can be similar, but delta typically represents a larger change compared to the infinitesimal change represented by 'd'.
  • A reference to a Wikipedia article is shared to illustrate the concept of derivatives and the distinction between delta and derivative notation.

Areas of Agreement / Disagreement

Participants appear to have differing levels of understanding regarding the notation and its implications, with some clarifications made but no consensus reached on the terminology used across different regions.

Contextual Notes

The discussion highlights potential confusion stemming from varying terminology in different educational contexts, as well as the nuances between delta and derivative notation that may not be universally understood.

mart
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I was watching a video and this guy comes up with a formula which I should know and it is not very strange to me, but there is this 'd' variable, which I believe we don't use in my country... perhaps we give it another name or so and I'm getting quite confused reading american/english materials anyways :
\frac{dp}{dt}=F

Could you kindly do a legend of this equation? I mean what the variables stand for.
Thanks for the support this is a great forum
 
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"d" isn't a variable in this case. dp/dt is the derivative of momentum with respect to time, i.e. the rate of change of momentum with respect to time, from calculus.
 
so isn't that equivalent to delta?
I got it if that is the case, it makes much more sense now :)
 
delta and "d" are very similar depending on how they are used...
often delta is a larger displacement than a tiny infinitesimal displacement "d".

see here alongside the first diagram:

http://en.wikipedia.org/wiki/Derivative

"change in y"/ " change in x" is delta y/delta x and the derivative is defined as the limit as delta approaches zero...
 

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