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25 September, 14:11

The wave speed on a string under tension is 200 m/s. What is the speed if the tension is doubled?

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  1. 25 September, 18:09
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    v = 282.84 m / s

    Explanation:

    The speed of a wave in a wire is given by the equation

    . v = √ T / ρ

    Where v is the speed of the wave, T the tension in the wire and ρ the density of the wire

    If the tension is doubled

    T = 2T₀

    v = √ (2T₀ / ρ)

    v = √2 √ T₀ / ρ

    v = √2 v₀

    calculate

    v = √2 200

    v = 282.84 m / s
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