The velocity of transverse waves on a string

AI Thread Summary
The discussion focuses on calculating the velocity of transverse waves on a violin string that is 35 cm long and has a mass of 2.0g, producing the note A4 at 440 Hz. The mass per unit length (ρ) of the string is calculated to be 0.0057 kg/m. Participants suggest using the formula v = √(F/ρ) but express uncertainty about determining the force (F) needed for this calculation. An alternative approach is proposed, using the relationship between frequency, wave velocity, and string length, expressed as f = v/(2L). This method may provide a more straightforward solution for finding wave velocity.
Nikles
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1. A violin string is 35 cm long between its fixed ends and has a mass of 2.0g. The string sounds the note A4 (440 Hz) when played.



Homework Equations


v=\sqrt{}F/ρ



The Attempt at a Solution


I calculated ρ, mass per unit length, to be .0057 kg/m but do not know how to find the force that I need to plug into the equation.
 
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Another formula (related to the one you mentioned, but derived from the wavelength) gives the wave velocity directly in terms of the freqency and string length. Try this one?

$$ f = \frac{v}{2 L} $$
 
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