Question

During forced exhalation, such as when blowing up a balloon, the diaphragm and chest muscles create a pressure of 74.0 mm Hg between the lungs and chest wall. What force in newtons does this pressure create on the 575 cm2 surface area of the diaphragm?

Answer 1

Answer:

Force created on the diaphragm by the pressure = 567.1 N

Step-by-step explanation:

The pressure hetween the diaphragm and the chest muscles can be written as the height of mercury

`\begin{gathered} h_m=(74)/(1000)m \\ \\ h_m=0.074m \end{gathered}`

The pressure of the diaphragm is calculated as:

`\begin{gathered} P=h_m\rho_mg \\ \\ P=0.074(13600)(9.8) \\ \\ P=9862.72\text{ N/m}^2 \end{gathered}`

Area, A = 575 cm²

A = 575/10000 m²

A = 0.0575 m²

Force = Pressure x Area

F = PA

F = (9862.72)(0.0575)

F = 567. 1 N

Force created on the diaphragm by the pressure = 567.1 N