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10 April, 00:28

A low C (f = 65Hz) is sounded on a piano. If the length of the piano wire is 2.0 m and its mass density is 5.0 g/m2, determine the tension of the wire.

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  1. 10 April, 00:35
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    Tension of the wire (T) = 169 N

    Explanation:

    Given:

    f = 65Hz

    Length of the piano wire (L) = 2 m

    Mass density = 5.0 g/m² = 0.005 kg/m²

    Find:

    Tension of the wire (T)

    Computation:

    f = v / λ

    65 = v / 2L

    65 = v / (2) (2)

    v = 260 m/s

    T = v² (m/l)

    T = (260) ² (0.005/2)

    T = 169 N

    Tension of the wire (T) = 169 N
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