Physical Meaning of Time Inverse

  • #1
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The inverse of time is the period of a periodic function. A cycle is a completion of one period hence a cycle is a quantum of motion. But how do we compare one cycle to a different cycle without having to use the geometry of a circle with different radii? If the radii are equal then the cycles are the same. If the radii are not equal? The smaller radius can be used to quantify the larger cycle of the two cycles.

So when time is zero, we are dealing here with a cycle that takes infinite time to complete.

The concept of frequency in the physics of waves motion is also time inverse more specifically multiple inverse of time.
 

Answers and Replies

  • #2
Baluncore
Science Advisor
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The inverse of time is the period of a periodic function.
I think not. The period T of a periodic function has the dimension of time. The unit is the second.
The frequency of a periodic function has the dimension of reciprocal time. The unit is the hertz, Hz.

If you represent the periodic motion as a phasor that rotates once per cycle then a periodic function will have the same radius for each cycle.
https://en.wikipedia.org/wiki/Phasor

So when time is zero, we are dealing here with a cycle that takes infinite time to complete.
That appears to be an irrational conclusion.

 
  • #3
If you represent the periodic motion as a phasor that rotates once per cycle then a periodic function will have the same radius for each cycle.
Doesn't just just indicate that amplitude is the same? Of course "the inverse of time is the period of a periodic function" is correct. Hz simplified is just some wave-motion per second.
 
  • #4
777
643
Of course "the inverse of time is the period of a periodic function" is correct.

No it's not, as already been pointed out. We measure period in seconds, and inverse of time is 1/sec.
 

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