- #1

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## Homework Statement

The longitudinal displacement of a mass element in a medium as a sound wave passes through it is given by

*s*=

*s*m cos (

*kx*–

*ωt*). Consider a sound wave of frequency 330 Hz and wavelength 0.95 m. If

*s*m= 16 µm, what is the displacement of an element of air located at

*x*= 1.1 m at time

*t*= 0.12 s?

## Homework Equations

k=2π/λ

ω=2πƒ

ƒ≡ frequency

ω≡ angular frequency

λ≡ wavelength

k≡ angular wave number

## The Attempt at a Solution

substitute the values of λ and f in k and ω to get k=6.6138 m^-1 and ω=2073.45

∴ s= 16 cos ( 6.6138*1.1-2073.45*0.12)=-7.625 INCORRECT

Where I made mistake?