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

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SUMMARY

The discussion clarifies the relationship between the period (T) of uniform circular motion and revolutions per minute (RPM). It establishes that T, the time taken for one complete revolution, is calculated as T = seconds/revolutions. The example provided demonstrates that if an object completes 5 revolutions in 60 seconds, the equation 5T = 60 seconds can be used to solve for T, resulting in T = 12 seconds per revolution. This algebraic approach effectively illustrates the concept of period in circular motion.

PREREQUISITES
  • Understanding of uniform circular motion principles
  • Basic algebra skills for solving equations
  • Familiarity with the concept of revolutions per minute (RPM)
  • Knowledge of time measurement in physics
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the mathematical principles of uniform circular motion and its applications in real-world scenarios.

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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