SOLUTION: The frequency in hertz (Hz) of a guitar wire varies directly as the square root of the tension and inversely as the length. If a wire 500 mm long under 25 kg of tension vibrates a

Algebra ->  Proportions -> SOLUTION: The frequency in hertz (Hz) of a guitar wire varies directly as the square root of the tension and inversely as the length. If a wire 500 mm long under 25 kg of tension vibrates a      Log On


   

Question 1144677: The frequency in hertz (Hz) of a guitar wire varies directly as the square root of the tension and
inversely as the length. If a wire 500 mm long under 25 kg of tension vibrates at 256 Hz, what is
the frequency of a wire 450 mm long under a tension of 30 kg?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
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frequency in hertz (Hz) of a guitar wire varies directly as the square root of the tension and
inversely as the length. If a wire 500 mm long under 25 kg of tension vibrates at 256 Hz
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y=k%2Asqrt%2825%29%2F500
k%2A5%2F500=256
k%281%2F100%29=256
k=25600
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system%28y=25600%2Asqrt%28T%29%2FL%2CT_tension%2CL_length%29


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what is
the frequency of a wire 450 mm long under a tension of 30 kg?
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25600%2Asqrt%2830%29%2F450Hz