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2 September, 13:23

The tension of a string is found to be 4050 N and the mass of 1 m of the string is 0.5 kg. What could be the velocity of a wave traveling in that string?

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  1. 2 September, 13:29
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    90 m/s

    Explanation:

    The formula for velocity of wave in a string is given as,

    v' = √ (T/m') ... Equation 1

    Where v' = velocity of the string, T = Tension on the string, m' = mass per unit length of the string.

    Given: T = 4050 N, and

    m' = m/l where m = mass of the string, l = length of the spring.

    m = 0.5 kg, l = 1 m

    m' = 0.5/1 = 0.5 kg/m

    Substitute into equation 1

    v' = √ (4050/0.5)

    v' = √ (8100)

    v' = 90 m/s.

    Hence the velocity of the wave in the string = 90 m/s
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