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Period versus (inverse) rotation_speed?


Capiert

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Period versus 1/(vc),

frequency versus vc ?
 
I find it very confusing
 that rotation_speed vc=2*Pi*r/t
 looks (very similar, &) proportional
 to frequency f (cycles per second;
 or (1) cycle (e.g. circle) per time
 (in units of seconds,
 or less than a second));
 & inverted_rotation_speed 1/(vc)=t/(2*Pi*r)
 (the time "per" cycle_or_circle_(circumference))
 looks proportional to Period T=1/f
 which is inverted_frequency!
(Thus units are suppose to be inverted.)
 
So (confusing) that I must start
 with what we know.
In fact I am so confused,
 that I know nothing
 except the rotation_speed vc=2*Pi*r/t
 (which is obvious),
 & the frequency f=1/T inverse_period relation (definition).
The rest seems (to me) like non_sense!
Thus I can derive everything (I need)
 from what we know:
 
The circumferential_speed
 vc=cir(cle)/t(ime)
 vc=2*Pi*r/t. ~f.
That looks like
 
 cycles (=circles) "per" second
 
 =[cps]=[c/s].
 (Units in square brackets.)
I.e. That looks (very much) like frequency!
(Although you guys are only interested
 in the inverse(=1_divided_by)_time 1/t
 for the "number" value of f (without units,
 =excluding units [c/s]).
 
We also know the "inverse" circumferential_speed
 1/(vc)=t(ime)/cir(cle)
 1/(vc)=t/(2*Pi*r). ~T.
That looks like
 the time_(in seconds)_"per"_cycle(=circle)
 =[spc]=[s/c].
I.e. That looks (very much) like the Period!
(Although you guys are only interested
 in time t
 for the "number" value of T (without units,
 =excluding units [s/c]),
 because you have defined
 frequency f=1/T as inverse_period.
 
So the
 time ("for" a cycle) is
 t=(2*Pi*r)/(vc)
 time=(circle (or cycle)) "per" rotation_speed).
That is the (number) value for what you guys call period (T).
Your units are seconds (because all circles cancel).
 
It's inverse
1/t=vc/(2*Pi*r)
 inverted_time=rotation_speed "per" (1) circle (or cycle),
 gives the number (value)
 for what you (guys & gals) call frequency (f).
In other words, stripped of the cycle(s).
 
You now have units [Hz] Herz (=hurts! Ouch!)
 
Edited by Capiert
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10 hours ago, Capiert said:

I find it very confusing

Because you insist on using this affected writing style, it is almost impossible to see what you are confused about. 

You seem to be happy that period (the time between one cycle and the next) is 1/f.

And you seem to understand that rotational speed is the length of the circumference dividing by the time to perform one rotation.

There doesn't seem to be anything else to say, or be confused about.

Maybe if you could write a single sentence, like a normal adult, explaining the problem it might be possible to understand you. 

But if you continue to write incoherent nonsense, filled with random punctuation, then I doubt anyone can help. 

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1 hour ago, Strange said:

That was a good point, well made apart from that error, so I have corrected it for you (assuming it was too late for you to do it).

Oh thanks! Appreciate that. Hate when I miss that cut off lol

 

Keep forgetting there are Apps for everything now. A stroboscope makes frequency far more relatable.

You can visually freeze things by matching the two frequencies.

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