The figure ( Figure 1 ) is a history graph at x = 0 m of a wave traveling in the

Question

The figure(Figure 1) is a history graph at x=0m of a wave traveling in the positive x-direction at 4.0 m/s.

A) What is the wavelength? Answer = 0.8m

B) What is the phase constant of the wave?

1.    D(x,t)=(4.0mm)sin[(10?rad/m)y+(10?rad/s)t+?2rad]

2.    D(x,t)=(2.0mm)sin[(5?rad/m)y?(5?rad/s)t+?rad]

3.    D(x,t)=(2.0mm)sin[(2.5?rad/m)y+(10?rad/s)t??2rad]

4.    D(x,t)=(2.0mm)sin[(10?rad/m)y?(2.5?rad/s)t??rad]

5.    D(x,t)=(2.0mm)sin[(2.5?rad/m)y?(10?rad/s)t??2rad]

6.    D(x,t)=(2.0mm)sin[(10?rad/m)y?(2.5?rad/s)t+?2rad]

*****I can't do parts B and C. Can you please help me out? Thank you :)

Explanation / Answer

Equation is x = A*sin (ky - wt + phi)

A = 2 mm

A) 0.8 m

B)

at y=0 and t=0

x =-2

-2 = 2* sin phi

phi = -pi/2 radians

C) 2*sin (2.5*pi*y - 10*t - pi/2)

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