Question

An aeroplane of mass 3 x 104 kg and total wing
area of 120 m²is in a level flight at some height.
The difference in pressure between the upper and
lower surfaces of its wings in kilopascals is
(g=10m/s2)
(1) 2.5
(2) 5.0
(3) 10.0
(4) 12.5​

Answer 1

Explanation:

Given An Aero plane of mass 3 x 104 kg and total wing  area of 120 m²is in a level flight at some height.  The difference in pressure between the upper and  lower surfaces of its wings in kilo pascals is

• We know that pressure will be both in upward as well as downward surface and will be mg.
• Let PA and PB be the pressure upward and downward directions.
• Given m = 3 x 10^4
• Area = 120 m^2
• g = 10 m/s^2
• So we know that
• (PB – PA) Area = mg
• Or PB – PA = mg / Area
•     Or ΔP = 3 x 10^4 x 10 / 120
•               = 1/40 x 10^5 N/m^2
• Or ΔP = 100 / 40 x 10^3 Pa
•          = 2.5 K Pa
• The difference in pressure between the upper and
• lower surfaces of its wings in kilo pascals is 2.5