Question

A sinusoidal wave is ddscribed by y(x,t) = 3.0 sin (3.52t - 2.01x) cm where x is the position along the wave propogation. Determine the ampliyude wave number wavelength frequency and velocity of the wave

Answer 1

Progressive wave:  propagating in +ve x direction :

    y(x, t) = 3.0  Sin (3.52 t - 2.01 x)  cm
    
Standard form is:  y(x, t) = A Sin (ω t - k x)

  So  A = amplitude = 3.0 cm
        k = wave number = 2.01 rad/cm

        angular frequency ω = 3.52 rad/sec
        frequency = f = ω/2π = 0.56 Hz

        wave length = λ = 2π/k = 3.127  cm
        velocity = v = λ * f = 1.751 cm/sec