F = 1/T? What does it mean?

  1. 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 :)
     
  2. jcsd
  3. jedishrfu

    Staff: Mentor

    Its described here:

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

    from the article:

     
  4. jtbell

    Staff: Mentor

    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.
     
  5. 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.
     
  6. It simply means frequency is inversely proportional to time taken to complete one oscillation
    and proportionality constant is 1
     
  7. The frequency f is the number of cycles per second. The period T is the number of seconds per cycle.

    Chet
     
  8. phinds

    phinds 9,148
    Gold Member

    Beautifully clear and concise explanation that says it all.

    You've done this before, haven't you :smile:
     
  9. tony873004

    tony873004 1,585
    Science Advisor
    Gold Member

    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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