Answer: The outward force is 5934.6N.
Explanation: Pressure is force per area. As the eardrum is a circular organ and has 4.2·[tex]10^{-3}[/tex]m of radius, the area of the organ will be:
Area = π·r²
Area = 3.14·(4.2.[tex]10^{-3}[/tex])²
Area = 13.2·[tex]10^{-2}[/tex]m²
To calculate force:
P = F/A
F = P·A
F = 45.[tex]10^{3}[/tex]·13.2·[tex]10^{-2}[/tex]
F = 5934.6N
The outward force is F=5934.6N.
The outward force would be 2.49 N
By definition, pressure is the ratio of force and area. In other words, the pressure exerted by a force on an object is the magnitude of the force divided by the area of the object on which the force is acting.
Mathematically;
Pressure = force/area
In this case,
pressure = 45 kPa (45,000 Pa)
diameter of eardrum = 8.4 mm (0.0084 m)
radius = 0.0042 m
area of eardrum = πr2
= 3.14 x 0.0042^2
= 0.0000554 m2
Force = pressure x area
= 45,000 x 0.0000554
= 2.49 N
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