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


by threy
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threy
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#1
Jan8-14, 09:42 AM
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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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jedishrfu
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Jan8-14, 09:44 AM
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Its described here:

http://en.wikipedia.org/wiki/Frequency

from the article:

For example, if a newborn baby's heart beats at a frequency of 120 times a minute, its period (the interval between beats) is half a second.
jtbell
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Jan8-14, 10:34 AM
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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.

xAxis
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Jan8-14, 10:51 AM
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f = 1/T?? What does it mean?


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.
jagdishdash
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Jan8-14, 01:06 PM
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It simply means frequency is inversely proportional to time taken to complete one oscillation
and proportionality constant is 1
Chestermiller
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Jan8-14, 07:20 PM
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The frequency f is the number of cycles per second. The period T is the number of seconds per cycle.

Chet
phinds
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Jan8-14, 07:28 PM
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Quote Quote by Chestermiller View Post
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
tony873004
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Jan8-14, 07:28 PM
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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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