Write an expression for a transverse harmonic wave that has a wavelength of 2.8 m and propagates to the right with a speed of 14.2 m/s. The amplitude of the wave is 0.13 m, and its displacement at t=0 and x=0 is 0.13 m.

Answer 1

Since the displacement at t = 0 equals the amplitude, it is a cosine wave.

f is the frequency: 14.2/2.8 = 5.07 Hz

y = 0.13*cos(2 pi x/(2.8) - 2 pi f t)

= 0.13*cos(2.244 x - 31.86 t)