What is the frequency of the sum of several sine waves?

  • #1
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I am given three sine waves with individual frequency being 10 Hz, 50 Hz, and 100 Hz.
What is the frequency of the following :

y(t) = sin(2π10t) + sin(2π50t) + sin(2π100t)​

Is it simply 100, the LCM of all the sin waves? If not, How to calculate the frequency of y(t) ?​
 

Answers and Replies

  • #2
Merlin3189
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I would say 10Hz, the HCF of the frequencies.
All three frequencies are still present, combining to give a non-sinusoidal waveform. This combined waveform is periodic over 0.1sec, due to the 10Hz component.
 

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