A traveling plane wave propagates in the positive direction of the z axis according to

the expression: y(z, 1) = (0,50m)cos(3πz — 10πl + π/4)where z is measured in meters and t

in seconds. For this wave determine:

1)

■ The wavelength.

■ The frequency of the wave

■ The speed of propagation of the wave.

■ The initial phase angle of the wave.

2) Find the displacement of the wave at position z = 10 cm and at the instant t = 0

sec.

3) Make the graphs for:

(a) y(z = 0,t) with z = [0, 1,0]

(b) y(z,t = 0) with t = [0, 0,50].