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

Answer:

2.49379624842 N

Explanation:

P = Pressure = 45 kPa

d = Diameter of eardrum = 8.44 mm

A = Area = $\pi\dfrac{d^2}{4}$

F = Force

Pressure is given by

$P=\dfrac{F}{A}$

$\Rightarrow F=PA$

$\Rightarrow F=45000\times \pi\dfrac{(8.4\times 10^{-3})^2}{4}$

$\Rightarrow F=2.49379624842\ N$

The outward force is 2.49379624842 N