A wave traveling along the x-axis is described by the equation
where x and y are expressed in meters and t is in seconds. Find
the amplitude,
the wavelength,
the period,
the speed of the wave,
the direction of motion of the wave, and
the phase constant.
a. Amplitude = m.
A sinusoidal traveling wave has the general form
By comparison with the displacement expression supplied, we find:
a. The amplitude is y_{m} = 0.30 m.
b. We can find the wavelength from
b. Wavelength = m
c. We can find the period from
d. The speed of the wave is
e. Since the sign of the kx and wt terms are opposite, the wave is traveling to the right.
f. The phase constant is = 2.0 rad.
d. Direction
f. Phase constant = rad
c. Period= s
d. Speed = m/s