what is the transmitted power wave here?

by admin on 02. Mar, 2010 in wave power

If y= 0.03sin(50x-500t) (SI units), and if the mass density of the string on which the wave propagates is 0.005 kg/m, then the transmitted power wave is _____ .

P = ½ μω²A²v => power transmitted by wave on a string.

angular velocity: ω = 500 rad/s
mass density of string: μ = 0.005 kg/m
amplitude of wave: A = 0.03 m
wave constant: k = ω/v = 50 = 500/v,
wave velocity: v = 500/50 = 10 m/s

P = 0.5*0.005*500²(0.03)10 = 187.5 watts

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One Response to “what is the transmitted power wave here?”

  1. Jacy 02. Mar, 2010 at 11:01 pm #

    P = ½ μω²A²v => power transmitted by wave on a string.

    angular velocity: ω = 500 rad/s
    mass density of string: μ = 0.005 kg/m
    amplitude of wave: A = 0.03 m
    wave constant: k = ω/v = 50 = 500/v,
    wave velocity: v = 500/50 = 10 m/s

    P = 0.5*0.005*500²(0.03)10 = 187.5 watts
    References :

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