1-5 Speed of a sinusoidal traveling wave

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

1. the amplitude,

2. the wavelength,

3. the period,

4. the speed of the wave,

5. the direction of motion of the wave, and

6. 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 please, select to the right to the left

f. Phase constant = rad

c.  Period= s

d. Speed = m/s