Consider the window (of area 0.34 m2) of an airplane. If the pressure inside the plane is atmospheric pressure, while the pressure outside is 24 % of Patm, find the magnitude of the force on the window. Ignore the velocity of the airplane (i.e., ignore Bernoulli’s effect).
SOLUTION :
Inside pressure = 1 atmosphere = 101325 Pa
Outside pressure = 0.24 atmosphere = 101325 * 0.24 = 24318 Pa
These pressures act in opposite directions.
So, net pressure on the window = 101325 - 24318 = 77007 Pa = 77007 N/m^2
So,
force on the window
= Net pressure in N/m^2 * Area in m^2
= 770007 * 0.34 N
= 26182.38 N (ANSWER).
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