Which Speed Calculation Method Is Best: DV/DR or V/R?

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Discussion Overview

The discussion revolves around the appropriate methods for calculating speed, specifically comparing the use of dv/dr and v/r. Participants explore the contexts in which each method may be applicable, considering both constant and variable speeds, as well as potential interpretations of the variables involved.

Discussion Character

  • Debate/contested, Conceptual clarification, Technical explanation

Main Points Raised

  • Some participants suggest that dv/dr is used in certain cases to find speed, while v/r may be more appropriate in others.
  • One participant argues that speed is defined as ds/dt and emphasizes that for constant speed, v can be calculated as S/T, while for variable speed, the instantaneous speed must be considered.
  • Another participant questions the definitions of v and r, stating that if they represent distance and time, then dv/dr is suitable, but if they represent velocity and displacement in the context of angular velocity, then v/r is the correct approach.
  • A later reply highlights the importance of presenting questions clearly to avoid confusion and ensure meaningful responses.

Areas of Agreement / Disagreement

Participants express differing views on the appropriate method for calculating speed, indicating that multiple competing perspectives remain without a clear consensus.

Contextual Notes

Participants note that the definitions of the variables v and r are crucial to determining the appropriate calculation method, which may depend on the context of the problem being discussed.

anmolnanda
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in some cases we use dv/dr to find speed and in some cases we use v/r which 1 will be more appropriate to use?
 
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anmolnanda said:
in some cases we use dv/dr to find speed and in some cases we use v/r which 1 will be more appropriate to use?

Er.. you can't use either one!

Speed, or velocity, is defined as ds/dt, where s is displacement. If speed is constant, then finding the total net displacement S, over a period of time T, will give you v = S/T (for v constant). If v isn't constant, then the instantaneous you use ds/dt at a particular time t.

Zz.
 
What are v and r? If they are distance and time , then dv/dr is the appropriate quantity. v/r will work for constant velocities only.
However if v and r represent velocity and displacement and you are talking about angular velocity then v/r is the correct quantity.
 
Very good point.

Consider this as a lesson, especially to new members, that if you neglect to present your question clearly and completely, you'll not only cause confusion, but also get confusing responses. If you wish that people who respond to your queries put in some effort and thought into presenting a response that is clear and well-thought out, then it is imperative that YOU do the same as well!

Zz.
 

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