# Sinusoidal Sound Wave Function

#### bolivartech

1. The problem statement, all variables and given/known data

A sinusoidal sound wave is described by the displacement wave function
Code:
s(x,t)=(2.00 μm)cos⁡[(15.7 m^(-1) )x-(858 s^(-1) )t]
b) Determine the instantaneous displacement from equilibrium of the elements of air at the position x = 0.050 m at t = 3.00 ms

2. Relevant equations

3. The attempt at a solution
Code:
s (x,t)=(2.00 μm)  cos⁡[(15.7 m^(-1) )(0.050m)-(858 s^(-1) )(.003 s) ]
Why is this this not correct?

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Homework Helper
What is s = ?

#### bolivartech

s = 3ms
the answer is supposed to be -.433 μm

#### rl.bhat

Homework Helper
When you simplify the terms inside the bracket, you get 1.789 rad. To find the cos of this, either change the mode in your calculator to RAD or convert 1.789 rad to degrees and then solve for s.

"Sinusoidal Sound Wave Function"

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