Passenger jets have a pressurized cabin during flight for passenger/crew safety and comfort.
If the cabin is pressurized to 6,500 m (that is the pressure that corresponds to an altitude of
6.5 km for a standard atmosphere model) but the plane is flying at 12 km, what is the force acting on a window of area 2.0 ft2? Is the force acting inward or outward (or in other words, if the window broke would air rush in or out)?
Pressure at 6.5km= 44036.2 n/m2
Pressure at 12km= 19331.0 n/m2
I'd prefer help getting to the answer, not just the actual answer. Thanks a ton all, I am having a hard time finding what to use.
If the cabin is pressurized to 6,500 m (that is the pressure that corresponds to an altitude of
6.5 km for a standard atmosphere model) but the plane is flying at 12 km, what is the force acting on a window of area 2.0 ft2? Is the force acting inward or outward (or in other words, if the window broke would air rush in or out)?
Pressure at 6.5km= 44036.2 n/m2
Pressure at 12km= 19331.0 n/m2
I'd prefer help getting to the answer, not just the actual answer. Thanks a ton all, I am having a hard time finding what to use.
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The pressure on the inside (pushing out) is 44036.2 N/m^2 and the pressure on the outside (pushing in) is 19331.0 N/m^2, so the pressure difference is 44036.2 - 19331.0 = 24705.2 N/m^2 pushing out.
Now, the window area is given in square feet, so you need to convert this to square metres using http://en.wikipedia.org/wiki/Unit_conver… so,
since 1 square foot = 9.290 304×10−2 m^2, then 2 square feet = 1.8580608 x 10^-1 m^2
Now, Pressure = Force per unit area, so Force = Pressure x area
Force = 24705.2 x 1.8580608 x 10^-1 = 4590.376 N = 4.59 x 10^3 Newtons
Now, the window area is given in square feet, so you need to convert this to square metres using http://en.wikipedia.org/wiki/Unit_conver… so,
since 1 square foot = 9.290 304×10−2 m^2, then 2 square feet = 1.8580608 x 10^-1 m^2
Now, Pressure = Force per unit area, so Force = Pressure x area
Force = 24705.2 x 1.8580608 x 10^-1 = 4590.376 N = 4.59 x 10^3 Newtons