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15 July, 19:54

what is the speed (velocity) of a wave on a guitar string with a frequency of 2 Hertz and a wavelength of 2.5 meters?

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  1. 15 July, 21:15
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    5m/s

    Explanation:

    Guitar strings moves like a wave, hence, it possesses a wavelength. Wavelength is the distance between the two wave crests. It is denoted by lambda (λ).

    The wavelength of this guitar string in the question can be using the formula: λ = v/f.

    Where; λ = wavelength

    v = velocity or speed

    f = frequency

    According to the question,

    λ = 2.5meters

    f = 2 Hertz

    v = ?

    To calculate the velocity, we make v (speed) the subject of the formula, λ = v/f

    We have; v = λf

    We input the values of frequency (2Hz) and wavelength (2.5m) into the formula

    We have; v = 2.5 * 2

    v = 5

    Hence, the velocity or speed of the string is 5m/s.
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