Question

An airplane takes off at sea level and climbs to a height of 480 m. Estimate the net outward force on a passenger's eardrum assuming the density of air is approximately constant at 1.3 kg/m3 and that the inner ear pressure hasn't been equalized.

Answer 1

Answer:

net outward force on a passenger's eardrum is 0.6115 N

Explanation:

Change in pressure is calculated as follows

$\Delta P= \rho g h$

h= height of liquid column =480 m

ρ= density of liquid= 1.3 kg/m^3

putting values we get

$\Delta P= 1.3\times9.8\times480 g h$

ΔP= 6115 Pa

Area of the eardrum is approximately

=  1 cm^2

Therefore, net force F = AΔP

= $1\times10^{-4}\times6115$

= 0.6115 N