A question about string tension

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SUMMARY

The discussion centers on calculating the tension required for a violin A string with a fundamental frequency of 440Hz, a vibrating length of 31.2cm, and a mass of 0.355g. The key formula used is the relationship between tension, mass per unit length, and wave velocity, expressed as V = √(Tension/(mass/length)). The user correctly identifies the need to convert mass from grams to kilograms for accurate tension calculation in Newtons. The final tension can be derived by rearranging the formula to solve for Tension.

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  • Familiarity with the formula for wave velocity in strings
  • Basic algebra for rearranging equations
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Homework Statement



The A string on a violin has a fundamental frequency of 440Hz.
The length of the vibrating portion is 31.2cm and has a mass of
0.355g. Under what tension must the string be placed? (Find the
answer in the usual metric unit of tension, the Newton, but do not enter
units)


Homework Equations



square root of Tension/(mass/length) = velocity of string.

Velocity = frequency X wavelength

The Attempt at a Solution



Soo... V = square root OF Tension/ (.355g/.321 m) (or do I need to convert grams to kilograms?)

So to find velocity i was thinking V = frequency X wavelength. So... (440Hz X .642) which is 282.48..

So velocity = 282.48? then that would mean that 282.48 = squareroot of Tension/ (.355g/.321 m) ?

Am I on the right track?
 
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Always keep an eye on units. Since you need tension in Newtons, you mass always needs to be in kilograms (1 Newton is equal to 1 kg.m.s-2)
 

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