A string 1.30 meters in length is oscillating in its first harmonic. The frequency of oscillation is 7.80 Hz. What

Question

A string 1.30 meters in length is oscillating in its first harmonic. The frequency of

oscillation is 7.80 Hz. What is the wavelength of the first harmonic?

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Thành Công 4 years 2021-08-29T20:56:07+00:00 1 Answers 18 views 0

Answers ( )

  1. phucdien
    0
    2021-08-29T20:57:12+00:00
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    Answer:

    2.6m

    Explanation:

    The formula for calculating the wavelength is expressed as;

    λ = v/f

    v is the velocity

    f is the frequency of vibration

    Given

    f = 7.80Hz

    We need to get the velocity

    For string;

    f = V/2L

    7.80 = V/2(1.3)

    7.80 = V/2.6

    V = 2.6 * 7.8

    V = 20.28m/s

    Get the required wavelength

    λ = v/f

    λ = 20.28/7.80

    λ = 2.6m

    Hence  the wavelength of the first harmonic is 2.6m

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