+ Post New Thread
Results 1 to 4 of 4
  1. #1
    Full Member level 4
    Points: 1,132, Level: 7
    jasonc2's Avatar
    Join Date
    Jun 2012
    Location
    NYC, USA
    Posts
    204
    Helped
    26 / 26
    Points
    1,132
    Level
    7
    Blog Entries
    1

    Area under half cycle of a sine wave

    I forget math. Given a sine wave with offset 0, amplitude a, and frequency f (Hz), the area under a half cycle would be...

    area = a * 0.637 * 0.5 / f

    or simplified:

    area = a / (Π * f)

    ... right? Because the area under a half cycle of a 1/2 hz wave would just be 1 * 0.637 (width * height of equivalent rectangle). Just want to double check. Thanks!
    J

    •   AltAdvertisement

        
       

  2. #2
    Member level 4
    Points: 1,005, Level: 7
    kingslayer's Avatar
    Join Date
    Jun 2010
    Location
    Milano, Italy
    Posts
    78
    Helped
    25 / 25
    Points
    1,005
    Level
    7

    Re: Area under half cycle of a sine wave

    Why don't you check the calculation through a simple integral? You know the sine wave expression, you know the endpoints, so the definite integral would give you the right answer, irrespective of the simple formulae you're using :-D

    Cheers
    "Fatti non foste a viver come bruti,
    ma per seguir virtute e canoscenza".

    Dante Alighieri, Divina Commedia, Inferno XXVI



    •   AltAdvertisement

        
       

  3. #3
    Member level 2
    Points: 789, Level: 6

    Join Date
    Jul 2012
    Location
    Sydney, Australia
    Posts
    49
    Helped
    10 / 10
    Points
    789
    Level
    6

    Re: Area under half cycle of a sine wave

    Hey Jasonc2,

    If you integrate a*sin(2pi*f*t)*dt within the limits 0 and 1/2f you will get the area to be

    a/(pi*f), thats how you get it

    hope it helps


    1 members found this post helpful.

    •   AltAdvertisement

        
       

  4. #4
    Full Member level 4
    Points: 1,132, Level: 7
    jasonc2's Avatar
    Join Date
    Jun 2012
    Location
    NYC, USA
    Posts
    204
    Helped
    26 / 26
    Points
    1,132
    Level
    7
    Blog Entries
    1

    Re: Area under half cycle of a sine wave

    Thanks! I briefly attempted to check my reasoning myself with the integral but ended up just regretting all the times I slept through calculus. :lol:
    J



--[[ ]]--