physics

A wave on a string has a wave function given by y(x, t) = (0.0210 m)sin[(6.91 m^−1)x + (2.38 s^−1)t

.
(a) What is the amplitude of the wave?


(b) What is the period of the wave?


(c) What is the wavelength of the wave?


(d) What is the speed of the wave?

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  1. The equation of the wave is
    y(x,t)= A•sin(2πx/λ - 2πt/T).
    Given equation is
    y(x, t) = (0.0210 m)sin[(6.91 m^−1)x + (2.38 s^−1)t

    Therefore,
    A = 0.0210 m

    2π/λ =6.91
    λ=2π/6.91=0.909 m

    2πt/T= 2.38
    T=2πt/ 2.38=2.64 s

    λ=vT
    v= λ/T=(2π/6.91)/( 2πt/ 2.38)=
    =2.38/6.91=0.344 m/s

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