How can I calculate the amplitude of a harmonic oscillator?
I asked chatgpt, is this formula correct?
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The formula is correct (for free undamped harmonic oscillator)
One certain Plausibility check may be a consideration of the units. So here at Term under the root the unit m2 remains, then it should not be ground-false.
This formula is true only thenIf this is a linear mechanical oscillator (e.g. a spring pendulum), in which a mass (here the formula character m) moves back and forth.
It is thus not applicable to an electric oscillator (oscillating circuit) or to a rotating oscillator (mechanical clock mechanism).
Ask Wikipedia. There, the relationship between energy and amplitude is also well explained. See Chapter 4.1.3. Energy.
https://de.wikipedia.org/wiki/Harmonischer_Oszillator#Energy
In fact, Wikipedia is now where I don’t even study so bad for math things. At least I feel that way. I often understand the explanations of general things such as the DGL for harmonic vibrations somewhat better than in books where many steps are omitted.
in school it always said Wikipedia is from the devil.
… and in school sit teachers;-)