The wave function of a standing wave is y ( x , t ) = 4.48 mm sin[(33.0 rad/m) x

Question

The wave function of a standing wave is

y(x,t) = 4.48 mm sin[(33.0 rad/m)x] sin[(765 rad/s)t].

For the two traveling waves that make up this standing wave, find the following.

the amplitude: 2.24mm

the wavelength: 0.19 m

the frequency: 121.75 Hz

the wave speed: 23.13 m/s

(e) the wave function for the wave traveling in the +x-direction

y1(x,t) =........mm sin[(.....rad/m)x] sin[(......rad/s)t].

the wave function for the wave traveling in the x-direction

y2(x,t) =.......mm sin[(.....rad/m)x] sin[(.....rad/s)t].

Explanation / Answer

e)    the wave function for the wave traveling in the +x-direction

y1(x,t) = 2.24 mm sin[(33.0 rad/m)x] sin[(765 rad/s)t].

the wave function for the wave traveling in the x-direction

y2(x,t) = - 2.24 mm sin[(33.0 rad/m)x] sin[(765 rad/s)t].

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