How do you find the period of a beat when given two different frequencies?
when two different frequencies, the "beat" frequency is the sum (f1+f2), and the difference (f1-f2). Normally, our hearing is focused on the difference only.
To find the period of a beat when given two different frequencies, you can follow these steps:
1. Identify the two frequencies of the waveforms. Let's call them f1 and f2.
2. Determine the difference between the two frequencies. Subtract the smaller frequency from the larger frequency. Let's call this difference Δf.
3. Calculate the period of the beat using the formula T = 1 / Δf, where T represents the period of the beat.
Let's walk through an example:
Suppose you have two frequencies: f1 = 440 Hz and f2 = 450 Hz.
Step 1: Identify the frequencies: f1 = 440 Hz, f2 = 450 Hz.
Step 2: Calculate the difference: Δf = f2 - f1 = 450 Hz - 440 Hz = 10 Hz.
Step 3: Calculate the period of the beat: T = 1 / Δf = 1 / 10 Hz = 0.1 seconds.
So, in this example, the period of the beat would be 0.1 seconds.