Question $2(40$ pts$).$ A model of human lung mechanics can be approximated with an electric

circuit analog:

$P=$ Pressure at the airway opening, where $P=$Asin$(wt)$ where $A=4\mathrm{.}75,w=1\mathrm{.}65$

$Q=$ Air flow rate

$R=$ Resistance within the airways and alveoli, where $R=1\mathrm{.}25$

$C=$ Compliance of airways and alveoli, where $C=0\mathrm{.}13$

Create a Simulink model to model the above schematic using the values above. Plot output air

flow rate $(Q)$ as a function of input pressure $(P).$ You will need:

Sine Wave as an input

Integrator Block

Gain Block

Sum Block

XY Graph, which plots a desired dependent variable versus a desired independent

variable, not versus time. Don't confuse this for the Scope Block.

The governing equation for this set$-$up is as follows:

$Q(t)=\frac{1}{R}P(t)-\frac{1}{RC}{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}Q(t)dt$