What is the relationship between frequency and period?

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The relationship between frequency (f) and period (T) is defined by the formula f = 1/T, indicating that frequency is the number of cycles per second while period is the time taken for one complete cycle. For example, a frequency of 120 beats per minute corresponds to a period of 1/2 second per beat. This inverse relationship means that as the period decreases, the frequency increases, and vice versa. Understanding this concept is crucial for analyzing oscillatory systems and wave phenomena.

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f = 1/T?? What does it mean?

What does this formula means:

f = 1/T

I don't get this. Please explain the relationship between frequency and period and the formula above thanks :)
 
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Using different units in that example obscures the relationship a bit. A frequency of 120 beats per minute corresponds to a period of 1/120 of a minute per beat. Continuing, 1/120 of a minute = 1/2 second.

Or to match the original formula better: a period of 1/2 second per beat corresponds to a frequency of 1/(1/2) beats per second = 2 beats per second. Continuing, 2 beats per second = 120 beats per minute.
 
agree with jtbell, bad example from wiki. It's simple math, threy. If you tnink about it the same way you think of ax=b there is no confusion. The trick is that T is time for 1 oscilation, so ax=b becomes ax=1.
 
It simply means frequency is inversely proportional to time taken to complete one oscillation
and proportionality constant is 1
 
The frequency f is the number of cycles per second. The period T is the number of seconds per cycle.

Chet
 
Chestermiller said:
The frequency f is the number of cycles per second. The period T is the number of seconds per cycle.

Chet

Beautifully clear and concise explanation that says it all.

You've done this before, haven't you :smile:
 
If you can walk around the block in 1/2 hour, (30 minutes) then you can do it 2 times in one hour.
If you can walk around the block in 1/3 hour (20 minutes) then you can do it 3 times in one hour.
If you can walk around the block in 1/4 hour (15 minutes) then you can do it 4 times in one hour.
If you can walk around the block in 1/10 hour (6 minutes) then you can do it 10 times in one hour.
 

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