Find tension required for wave speed?? PLEASE NEED FOR FINAL EXAM ON MONDAY?

14-38) The speed of a transverse wave on a string is 14 m/s when the tension is 4.0 N. What tension is required for the wave speed along the string to be 17 m/s? Answer in Newtons.

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  • Algol
    Lv 7
    10 years ago
    Favorite Answer

    You need the linear density of the string:

    v = √[F/μ]

    μ = F₁/v₁²

    Then, force in the second case is:

    F₂ = μv²

    = (F₁/v₁²)v₂²

    = [4.0N/(14m/s)²](17m/s)²

    = 5.9N

    Hope this helps.

  • 10 years ago

    The equation for calculating the speed of a wave on a string is:

    speed = sqrt ( tension/density)

    First calculate the density given the known speed and tension:

    (speed * speed) = tension/density

    density = tension/(speed * speed)

    density = 4.0 / (14*14)

    density = 0.020408 kg/m

    Now we can solve for the tension required for a wave speed of 17 m/s:

    tension = (speed * speed) * density

    tension = (17*17) * 0.020408

    tension = 5.897912 N

  • 4 years ago

    I've got so much coursework for Monday and I'm here procrastinating. :)

  • Steve
    Lv 7
    10 years ago

    u = √[T/µ] → T = u²*µ and T2/T1 = [u2²/u1²]*µ = µ*[17/14]² → T2 = 5.898 N

    Source(s): University Physics, Sears & Zemansky, 1955
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  • 10 years ago

    4.9?

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