Two transfersal sinusoidal wave

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Two transverse sinusoidal waves with an amplitude of 0.5 cm and a wavelength of 8 cm are traveling in opposite directions along a wire, with a wave speed of 1.2 m/s. The equations for the waves are s1= 0.5*sin(30*pi*t - (pi*x)/4) and s2= 0.5*sin(30*pi*t + (pi*x)/4 + phi), where phi is an angle. The equations are mostly correct, with a noted typographical error in the first equation. The discussion raises questions about the necessity of drawing the wire's shape at integer time values and the ambiguity surrounding the phase angle phi, suggesting it may be zero for simplification. Overall, the focus is on correctly formulating the wave equations and understanding the resultant wave's characteristics.
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Homework Statement


Two transfersal sinusoidal wave of amplitude 0.5 cm and 8 cm wavelength traveling in opposite
directions along the wire. Wave speed in the wire is 1.2 m / s. Write the equation of these two transfersal wave equation and find the resultant wave. Draw the shape of wire at time t = 0, 1, 2, ... s.

Homework Equations


s=A+sin(wt-kx)

The Attempt at a Solution


I did this
s1= 0,5*sin(30*pi*t - (pi*x)/4)
s2= 0,5*sin(30*pi*t + (pi*x)/4 + phi)
phi is an angle.

Did I wrote those equations right or not?
 
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It is correct except the mistype in the first equation (+ instead of *).

The question to draw the shape at integer t values is weird (why?).
 
thanks. How to find resultant wave if I don't know "phi"?
 
I think the problem meant phi=0, it would have been given otherwise.

ehild
 

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