Question

The equation of simple harmonic progressive wave is given by `y=0.05sinpi[20t-x/6]` where all quantities are in S. I. units. Calculate the displacement of a particle at 5 m from origin and at the instant 0.1 second.

Answer 1

`y=0.05sinpi[20t-x/6]`

`=0.05sinpi[20xx0.1-5/6]`

`=0.005sinpi[2-5/6]`

`=0.05sin(2pi-(5pi)/6)`

`=0.05sin((7pi)/6)`

`=0.005sin(pi+pi/6)`

`=0.05sin(pi+pi/6)`

 `=-0.05xx1/2=-0.025m`