Anonymous
Anonymous asked in Science & MathematicsPhysics · 2 months ago

7. A wave described by the function below propagates in a string under a tension of 0.18 N.?

the answers are in the box, but i dont understand the work needed to find them. help would be greatly appreciated. 

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  • NCS
    Lv 7
    2 months ago

    I agree with the other poster for the answer to (a).

    But the PARTICLE'S velocity is given by

    v(x,t) = dy/dt = 2.4x10^-3m * 270rad/s * cos(36x - 270t)

    v(x,t) = 0.648m/s * cos(36x - 270t)

    which is a maximum when cos() = 1 --

    max v = 0.648 m/s ◄

    7.5 m/s is the WAVE'S velocity.

    Hope this helps!

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  • 2 months ago

    Thus is a transverse harmonic wave traveling in the positive x-direction. Harmonic waves are sinusoidal waves. The displacement y of a particle in the medium is given as a function of x and t by

    y(x,t) = Asin(kx - ωt)

    Here k is the wave number, k = 2π/λ, and ω = 2πf is the angular frequency of the wave.

    =>Thus v = ω/k 

    =>v = 270/36

     =>v = 7.50 m/s

    By v = √[T/µ]

    =>v^2 = T/µ

    =>µ = T/v^2 = 0.18/(7.50)^2 = 3.2 x 10^-3 kg/m OR 3.2 g/m

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