To understand the standard formula for a sinusoidal traveling wave. One formula

Question

To understand the standard formula for a sinusoidal traveling wave. One formula for a wave with a y displacement (e.g., of a string) traveling in the x direction is y(x, t) = A sin [kx - wt). All the questions in this problem refer to this formula and to the wave it describes. What is the phase phi(x, t) of the wave? Express the phase in terms of one or more given variables (A, k, x, t, and w) and any needed constants like pi. What is the wavelength A of the wave? Express the wavelength in terms of one or more given variables (A, k, x, t, and w) and any needed constants like pi. What Is the period T of this wave? Express the period in terms of one or more given variables (A, k, x, t, and w) and any needed constants like pi.

Explanation / Answer

C) phase of the wave, phi(x,t) = k*x - w*t

D) we know, k = 2*pi/lamda

==> lamda = 2*pi/k

E) we know, time period, T = 2*pi/w

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