Understanding T = (Seconds/Revolutions) in Uniform Circular Motion

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Homework Help Overview

The discussion revolves around the concept of period (T) in uniform circular motion, specifically addressing the relationship between time, revolutions, and the formula T = seconds/revolutions. Participants are exploring the implications of this relationship in the context of circular motion and rotational speed.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster questions the logic behind the formula T = seconds/revolutions and seeks clarification on its derivation. Some participants provide algebraic reasoning related to the period and revolutions per minute (RPM), while others express appreciation for the explanations given.

Discussion Status

The discussion is active, with participants sharing their understanding and interpretations of the period in circular motion. Some have provided algebraic insights, while others are still seeking clarity on the underlying concepts. There is a sense of collaborative exploration without a definitive consensus yet.

Contextual Notes

Participants are working within the framework of uniform circular motion and are addressing potential misunderstandings regarding the definitions and relationships of the variables involved. The original poster's confusion highlights the need for deeper exploration of the concepts at play.

Miliman13
A= (2 pie R)/T^2

Why is T= (seconds/Revolutions)

If RPM = Revolutions / Minute (time)

i don't understand why t = s/r

This is from uniformed circular motion.. what the logic or algebra?

Thanks,
 
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T, the period, is the time in which the mass completes one full revolution. If you know that the mass does 5 revolutions in one minute (60 seconds), how much time is needed for one revolution? Well, five times the time needed for one revolution must be 60 seconds. That's the English. In algebra language it translates as 5T = 60 s. I leave it to you to solve for T.
 
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kuruman said:
T, the period, is the time in which the mass completes one full revolution. If you know that the mass does 5 revolutions in one minute (60 seconds), how much time is needed for one revolution? Well, five times the time needed for one revolution must be 60 seconds. That's the English. In algebra language it translates as 5T = 60 s. I leave it to you to solve for T.
Phrasing it the way you did, really helps me understand the logic.
Thank you very much, i greatly appreciate it .
 

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