Create a mathematical model for the pressure variation as a function of position and time for a sound wave, given that the wavelength of the wave is λ = 0.190 m and the maximum pressure variation is δpmax = 0.270 n/m2. assume the sound wave is sinusoidal. (assume the speed of sound is 343 m/s. use the following as necessary: x and t. assume δp is in pa and x and t are in m and s, respectively. do not include units in your answer.)

The equation of position and time for a sound wave is .

Explanation:

Given that,

Wavelength = 0.190 m

Maximum pressure

We know that,

The function of position and time for a sound wave,

....(I)

We need to calculate the frequency

Using formula of frequency

Put the value into the formula

We need to calculate the angular frequency

Using formula of angular frequency

Put the value into the formula

We need to calculate the wave number

Using formula of wave number

Put the value into the formula

Now, put the value of k and ω in the equation (I)

Hence, The equation of position and time for a sound wave is .

conduction, convection, radiation