Question

Write the y-equation for a wave traveling in the negative x-direction with wavelength 50 cm, speed 4.0 m/s, and amplitude 5.0 cm.

Answer 1

`y = A sin(2\pi((x)/(50))+ 8 t)`

Step-by-step explanation:

given,

wavelength, λ = 50 cm

speed, v = 4 m/s

Amplitude, A = 5 cm

general equation of the wave along x- axis

`y = A sin(2\pi((x)/(\lambda))\pm \\u t)`

sign is positive when wave is traveling in negative direction

now,

`\\u = (v)/(\lambda)`

`\\u = (4)/(0.5)`

`\\u = 8\ s^(-1)`

inserting all the values

`y = A sin(2\pi((x)/(50))+ 8 t)`

Hence, the y-equation of wave is equal to
`y = A sin(2\pi((x)/(50))+ 8 t)`