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physics

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the equation of a transverse wave travel ling on a rope is given by y=10sin3.14(0.01x-2.00t)where y and x are in cm and t is in seconds.the maximum transverse speed of the particle in the rope is about
options:
1. 62.8 cm/s
2. 75 cm/s

  • physics - ,

    dy/dt = -10*2*3.14 cos****
    max of cos is 1
    so 20*3.14 = 62.8

  • physics - ,

    y=10sin 3.14(0.01x-2.00t)=
    = 10sin (π•x/100 - 2•π•t).
    General form is
    y= Asin (2π•x/λ - ω•t).
    v =dy/dt =- A •ω cos (2•π•x/λ - ω•t).
    v(max) = A •ω,where A =10 cm, ω = 2•π (rad/s),
    v(max) = 20• π =62.8 cm/s

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