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7 February, 11:41

A stretched string is 1.91 m long and has a mass of 19.3 g. When the string is oscillated at 440 Hz, which is the frequency of the standard A pitch that orchestras tune to, transverse waves with a wavelength of 17.1 cm travel along the string. Calculate the tension in the string.

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  1. 7 February, 13:58
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    so tension in the string is 57.199 N

    Explanation:

    given data

    long = 1.91 m

    mass = 19.3 g

    oscillated = 440 Hz

    wavelength = 17.1 cm = 0.171 m

    to find out

    tension in the string

    solution

    we know equation

    v = √ (T/u) ... 1

    here

    v = oscillation * wavelength = 440 * 0.171 = 75.24 m/s

    and u = mass / length = 0.0193 / 1.91 = 0.010104712

    so from equation 1

    v = √ (T/u)

    75.24 = √ (T/0.010104)

    T = 57.199 N

    so tension in the string is 57.199 N
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