A sinusoidal wave with wavelength 2 m is traveling along the x-axis. At t=0s the

Question

A sinusoidal wave with wavelength 2 m is traveling along the x-axis. At t=0s the wave's phase at x=2m is pi/2 rad.

a. Draw a snapshot graph of the wave at t=0s.

b. At t=0s, what is the phase at x=0m?

c. At t=0s, what is the phase at x=1m?

20. A sinusoidal wave with wavelength 2 m is traveling along the x-axis. At t 0 s wave's at phase x 2 m is IT/2 rad. a. Draw a snapshot graph of the wave at t s. r r x (m) -2 b. Att 0 s, what is the phase at x 0 m? c Att o s, what is the phase at x 1 min d. Att 0 s, what is the phase at x 3 m? Note: No calculations are needed. Think about what the phase means and utilize your graph.

Explanation / Answer

x(t) = A cos (wt + phi)

at t =0

x(0) = 2m cos (Pi/2)

x(0) = 2m and phase is Pi/2

part A :

at t = 0 and x = 0

Cos (Wt + Phi)+ Pi/2) = 0

Cos (0 + phI+Pi/2) = 0

Cos (phi + Pi/2) = 0

phi = 0 deg -Pi./2

final phase is -pi/2

--------------------------

at t =0 and x =1 m

Cos(Wt+phi) = 1

Cos (phi + Pi/2) = 1

phi + Pi/2 = Pi/2

final phase = 0

-------------------------

at t= 0 and x = 3 m

phase = 3pi/2

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