CBSE Class 11-science Answered
a plane is in level flight at constant speed and each wings of area 25M2. if the speed of the air is 50m/s over lower wings and 65m/s over upper wings,determine the mass of the plane(density of the air=1kg/M3)
Asked by | 28 Jan, 2011, 12:00: AM
Expert Answer
Dear student,
The area of the wings of the plane, A = 2 × 25 = 50 m2
Speed of air over the lower wing, V1 = 180 km/h = 50 m/s
Speed of air over the upper wing, V2 = 234 km/h = 65 m/s
Density of air, ρ = 1 kg m–3
Pressure of air over the lower wing = P1
Pressure of air over the upper wing= P2
Speed of air over the lower wing, V1 = 180 km/h = 50 m/s
Speed of air over the upper wing, V2 = 234 km/h = 65 m/s
Density of air, ρ = 1 kg m–3
Pressure of air over the lower wing = P1
Pressure of air over the upper wing= P2
The upward force on the plane can be obtained using Bernoulli’s equation as:
P1+ 0.5 row V1^2 = P2 + 0.5 row V2 ^2
P1- P2 = 0.5 row( V2^2- V1^2)
The upward force (F) on the plane can be calculated as:
(P1-P2)*A = 43125N
Using Newton’s force equation, we can obtain the mass (m) of the plane as:
F =m g = 4400.51 kg
∼ 4400 kg
Hence, the mass of the plane is about 4400 kg.
Hence, the mass of the plane is about 4400 kg.
Hope this helps.
Thanking you
Team
Topperlearning.com
Answered by | 29 Jan, 2011, 03:54: PM
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