A plane flies at an altitude where the atmospheric pressure is 200mmHg. If the pressure inside the cabin is maintained at 760mmHg, calculate the net force on a window whose area is 800cm²
net force= net pressure*area=(760-200)mmHg * area
now you need to conver mmHg to Pascals
101.3 P=760mmhg
net force=560*101.3/760 * area
now convert cm^2 to m^2
10^4 cm^2=1m^2
go for it.
Not able to get the answer
To calculate the net force on the window, we need to consider the pressure difference between the inside and outside of the cabin.
1. Convert the atmospheric pressure from mmHg to Pascal:
- 1 mmHg = 133.322 Pascal
- 200 mmHg × 133.322 Pascal = 26,664.4 Pascal
2. Convert the pressure inside the cabin from mmHg to Pascal:
- 760 mmHg × 133.322 Pascal = 101,325.92 Pascal
3. Calculate the pressure difference:
- Pressure difference = Pressure inside cabin - Atmospheric pressure
- ΔP = 101,325.92 Pascal - 26,664.4 Pascal
- ΔP = 74,661.52 Pascal
4. Now we can calculate the net force on the window using the formula:
- Force = Pressure difference × Area
- F = ΔP × A
- F = 74,661.52 Pascal × 800 cm²
Note: We need to convert cm² to m² since the unit of pressure is Pascal.
- 1 cm² = 0.0001 m²
- 800 cm² = 800 × 0.0001 m² = 0.08 m²
- F = 74,661.52 Pascal × 0.08 m²
Finally, multiply the pressure difference by the window's area to find the net force on the window.