I'm looking for an accurate method to measure the tension in a guitar string, without using a sonometer setup nor by measuring the frequency.
the current method that I have in mind is to measure the force perpendicular to the string and the string's displacement, and then try to resolve the vectors (the method is explained in more detail here), but I don't think that is an accurate method for a couple of reasons:
- we have to consider the uncertainty of the newton meter and the ruler
- the propagation of uncertainty when resolving vectors makes the final uncertainty much larger
- even after resolving the vectors, we are calculating the tension in the bent string, not the equilibrium position.
are there any other methods I can use to measure the tension more accurately?