2. On the inside of an airplane the air pressure is about 85% of the atmospheric pressure
at sea-level while outside, when it is cruising, the pressure is about 25% of the sealevel atmospheric pressure. If a window is 0.46 m in diameter, what is the net outward
force on the window in Newtons? What is the force in pounds?
To find the net outward force on the window in Newtons, we need to calculate the pressure difference between the inside and outside of the airplane, and then use that to find the force.
First, let's calculate the pressure difference between the inside and outside of the airplane:
Inside Pressure = 85% of the atmospheric pressure at sea-level
Outside Pressure = 25% of the atmospheric pressure at sea-level
Pressure Difference = Inside Pressure - Outside Pressure
Now, let's calculate the force on the window using the pressure difference:
Force = Pressure Difference * Area
The area of a window can be calculated using the formula:
Area = π * (radius)^2
= π * (diameter/2)^2
Given that the diameter of the window is 0.46 m, the radius would be 0.46/2 = 0.23 m.
Now, let's calculate the force in Newtons:
1. Calculate the pressure difference:
Pressure Difference = Inside Pressure - Outside Pressure
2. Calculate the area of the window:
Area = π * (radius)^2
3. Calculate the force:
Force = Pressure Difference * Area
To convert the force from Newtons to pounds, we can use the conversion factor: 1 Newton = 0.2248 pounds.
Force in pounds = Force in Newtons * 0.2248
Now you can plug in the values, calculate the force in Newtons, and then convert it to pounds to find the answer.