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Dave asked in Science & MathematicsPhysics · 8 years ago

Physics guitar string frequency problem?

A guitar string is tuned so that it produces a fundamental frequency of 440 Hz. If the length of the string is 0.60 m how far from the end of guitar string would you need to hold it down to produce a frequency of 480 Hz?

Update:

Charles your answer was near correct. I was able to figure it out. The last step was to subtract .55m from the length of the string (.6m)

so,

.6 - .55 = .05m

thank you!

1 Answer

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  • 8 years ago
    Favorite Answer

    Hey Dave,

    The equation for frequency of a vibrating string is as follows,

    f = v / 2L

    where v is the speed at which the waves are moving on the guitar

    and L is the length of the string which is .6m in our case

    plugging everything in and solving for v,

    v = 2Lf = 2(.6m)(440Hz) = 528 m/s

    now, solving for L'

    L' = v / 2f' = 528 m/s / 2*480Hz = 0.55m

    Hope this helps, check out the wiki article too if you need some more info.

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