Question

When you stifle a sneeze, you can damage delicate tissuesbecause the pressure of the air that is not allowed to escape mayrise by up to 45 {\rm kPa}.

If this extra pressure acts on the inside ofyour 8.4-mm-diameter eardrum, what is the outward force?
answer in N's

Answer 1

2.49379624842 N

Step-by-step explanation:

P = Pressure = 45 kPa

d = Diameter of eardrum = 8.44 mm

A = Area =
`\pi(d^2)/(4)`

F = Force

Pressure is given by

`P=(F)/(A)`

`\Rightarrow F=PA`

`\Rightarrow F=45000* \pi((8.4* 10^(-3))^2)/(4)`

`\Rightarrow F=2.49379624842\ N`

The outward force is 2.49379624842 N