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Math Help - What is the average rate of change of the amplitude of a sine wave?

  1. #1
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    What is the average rate of change of the amplitude of a sine wave?

    I have previously posted this question but I accidentally put it in the wrong section.

    The formula for inductive reactance is XL =2πfL



    I understand why the inductive reactance increases as the inductance and frequency increase but I am not sure why "2π" is included in the formula. I suspect that π must represent the average rate of change of the amplitude of the sine wave. By calculating the average by using four values of sine, I get 4.2 units of amplitude per second but if I use eight values of sine, I get 3.6 units of amplitude per second. My guess is that were I to use ninety values of sine, the average would be very close to the numerical value of π. I assume that "2" is in the formula because the peak amplitude occurs twice in each cycle.


    My question is: What is the average rate of change of the amplitude of a sine wave?

    Thank you,

    Percy Pimm
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  2. #2
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    Re: What is the average rate of change of the amplitude of a sine wave?

    Going back a lot of years.

    d (sin x) / dx = cos(x)
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