The mass of a string is 20 g and it has a length of 3.2 m. Assuming that the tension in the string is 2.5 N, what will be the wavelength of

Question

The mass of a string is 20 g and it has a length of 3.2 m. Assuming that the tension in the string is 2.5 N, what will be the wavelength of a travelling wave that is created by a sinusoidal excitation of this string with a frequency of 20 Hz. Provide the wavelength in units of m. Please note: You do not include the units in your answer. Just write in the number.

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Kiệt Gia 2 months 2021-07-22T14:14:37+00:00 1 Answers 2 views 0

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    2021-07-22T14:15:41+00:00

    Answer:

    The wavelength of the wave is 1 m

    Explanation:

    Given;

    mass of the string, m = 20 g = 0.02 kg

    length of the string, L = 3.2 m

    tension on the string, T = 2.5 N

    the frequency of the wave, f = 20 Hz

    The velocity of the wave is given by;

    v = \sqrt\frac{T}{\mu} {}

    where;

    μ is mass per unit length = 0.02 kg / 3.2 m

    μ = 6.25 x 10⁻³ kg/m

    v = \sqrt{\frac{T}{\mu} } \\\\v = \sqrt{\frac{2.5}{6.25*10^{-3}} } \\\\v = 20 \ m/s

    The wavelength of the wave is given by;

    λ = v / f

    λ = (20 m/s )/ (20 Hz)

    λ = 1 m

    Therefore, the wavelength of the wave is 1 m

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