A 12 kg hanging sculpture is suspended by a 80-cm-long, 6.0 g steel wire. When the wind blows hard, the wire hums at its fundamental frequen

Question

A 12 kg hanging sculpture is suspended by a 80-cm-long, 6.0 g steel wire. When the wind blows hard, the wire hums at its fundamental frequency. What is the frequency of the hum

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Jezebel 4 years 2021-07-20T06:16:14+00:00 1 Answers 14 views 0

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    2021-07-20T06:18:01+00:00

    Answer:

    F=78.3hz

    Explanation:

    From the question we are told that:

    Mass m=12

    Length l=80cm=0.8m

    Linear density \mu= 6.0g

    Generally the equation for Frequency is mathematically given by

     F=\frac{1}{2l}\sqrt{\frac{T}{K}}

     F=\frac{1}{2(0.8)}\sqrt{\frac{12*9.8*0.8}{6*10^{-3}}}

     F=78.3hz

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