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Air is streaming over both the aeroplane wings such that its speed is 85 m-s⁻1 over the upper surface and 75 m-s⁻1 at the lower surface. If the wings are 10 m long and have an average width of 2 m, then lift of the wind on aeroplane is (Take density of air = 1.5 kg-m⁻1)
- a)12 kN
- b)24 kN
- c)48 kN
- d)72 kN
Correct answer is option 'C'. Can you explain this answer?
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Given data:
- Speed of air over the upper surface of the wings = 85 m/s
- Speed of air over the lower surface of the wings = 75 m/s
- Length of the wings = 10 m
- Average width of the wings = 2 m
- Density of air = 1.5 kg/m³
Calculating the difference in air speed:
The difference in air speed between the upper and lower surfaces of the wings can be calculated as follows:
Difference in air speed = Speed on upper surface - Speed on lower surface
= 85 m/s - 75 m/s
= 10 m/s
Calculating the dynamic pressure:
The dynamic pressure of the air can be calculated using the formula:
Dynamic pressure = 0.5 x density of air x (speed of air)²
On the upper surface of the wings:
Dynamic pressure on upper surface = 0.5 x 1.5 kg/m³ x (85 m/s)²
On the lower surface of the wings:
Dynamic pressure on lower surface = 0.5 x 1.5 kg/m³ x (75 m/s)²
Calculating the lift force:
The lift force on the wings can be calculated using the formula:
Lift force = Dynamic pressure x Area
On the upper surface of the wings:
Lift force on upper surface = Dynamic pressure on upper surface x Area of upper surface
= (0.5 x 1.5 kg/m³ x (85 m/s)²) x (10 m x 2 m)
On the lower surface of the wings:
Lift force on lower surface = Dynamic pressure on lower surface x Area of lower surface
= (0.5 x 1.5 kg/m³ x (75 m/s)²) x (10 m x 2 m)
Calculating the total lift force:
The total lift force on the wings can be calculated by summing up the lift forces on the upper and lower surfaces:
Total lift force = Lift force on upper surface + Lift force on lower surface
Substituting the values:
Total lift force = [(0.5 x 1.5 kg/m³ x (85 m/s)²) x (10 m x 2 m)] + [(0.5 x 1.5 kg/m³ x (75 m/s)²) x (10 m x 2 m)]
Simplifying the expression:
Total lift force = 48 kN
Therefore, the lift force on the airplane wings is 48 kN. Hence, the correct answer is option C.
- Speed of air over the upper surface of the wings = 85 m/s
- Speed of air over the lower surface of the wings = 75 m/s
- Length of the wings = 10 m
- Average width of the wings = 2 m
- Density of air = 1.5 kg/m³
Calculating the difference in air speed:
The difference in air speed between the upper and lower surfaces of the wings can be calculated as follows:
Difference in air speed = Speed on upper surface - Speed on lower surface
= 85 m/s - 75 m/s
= 10 m/s
Calculating the dynamic pressure:
The dynamic pressure of the air can be calculated using the formula:
Dynamic pressure = 0.5 x density of air x (speed of air)²
On the upper surface of the wings:
Dynamic pressure on upper surface = 0.5 x 1.5 kg/m³ x (85 m/s)²
On the lower surface of the wings:
Dynamic pressure on lower surface = 0.5 x 1.5 kg/m³ x (75 m/s)²
Calculating the lift force:
The lift force on the wings can be calculated using the formula:
Lift force = Dynamic pressure x Area
On the upper surface of the wings:
Lift force on upper surface = Dynamic pressure on upper surface x Area of upper surface
= (0.5 x 1.5 kg/m³ x (85 m/s)²) x (10 m x 2 m)
On the lower surface of the wings:
Lift force on lower surface = Dynamic pressure on lower surface x Area of lower surface
= (0.5 x 1.5 kg/m³ x (75 m/s)²) x (10 m x 2 m)
Calculating the total lift force:
The total lift force on the wings can be calculated by summing up the lift forces on the upper and lower surfaces:
Total lift force = Lift force on upper surface + Lift force on lower surface
Substituting the values:
Total lift force = [(0.5 x 1.5 kg/m³ x (85 m/s)²) x (10 m x 2 m)] + [(0.5 x 1.5 kg/m³ x (75 m/s)²) x (10 m x 2 m)]
Simplifying the expression:
Total lift force = 48 kN
Therefore, the lift force on the airplane wings is 48 kN. Hence, the correct answer is option C.
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Air is streaming over both the aeroplane wings such that its speed is 85 m-s⁻1over the upper surface and 75 m-s⁻1 at the lower surface. If the wings are 10 m long and have an average width of 2 m, then lift of the wind on aeroplane is (Take density of air = 1.5 kg-m⁻1)a)12 kNb)24 kNc)48 kNd)72 kNCorrect answer is option 'C'. Can you explain this answer?
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Air is streaming over both the aeroplane wings such that its speed is 85 m-s⁻1over the upper surface and 75 m-s⁻1 at the lower surface. If the wings are 10 m long and have an average width of 2 m, then lift of the wind on aeroplane is (Take density of air = 1.5 kg-m⁻1)a)12 kNb)24 kNc)48 kNd)72 kNCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Air is streaming over both the aeroplane wings such that its speed is 85 m-s⁻1over the upper surface and 75 m-s⁻1 at the lower surface. If the wings are 10 m long and have an average width of 2 m, then lift of the wind on aeroplane is (Take density of air = 1.5 kg-m⁻1)a)12 kNb)24 kNc)48 kNd)72 kNCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Air is streaming over both the aeroplane wings such that its speed is 85 m-s⁻1over the upper surface and 75 m-s⁻1 at the lower surface. If the wings are 10 m long and have an average width of 2 m, then lift of the wind on aeroplane is (Take density of air = 1.5 kg-m⁻1)a)12 kNb)24 kNc)48 kNd)72 kNCorrect answer is option 'C'. Can you explain this answer?.
Air is streaming over both the aeroplane wings such that its speed is 85 m-s⁻1over the upper surface and 75 m-s⁻1 at the lower surface. If the wings are 10 m long and have an average width of 2 m, then lift of the wind on aeroplane is (Take density of air = 1.5 kg-m⁻1)a)12 kNb)24 kNc)48 kNd)72 kNCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Air is streaming over both the aeroplane wings such that its speed is 85 m-s⁻1over the upper surface and 75 m-s⁻1 at the lower surface. If the wings are 10 m long and have an average width of 2 m, then lift of the wind on aeroplane is (Take density of air = 1.5 kg-m⁻1)a)12 kNb)24 kNc)48 kNd)72 kNCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Air is streaming over both the aeroplane wings such that its speed is 85 m-s⁻1over the upper surface and 75 m-s⁻1 at the lower surface. If the wings are 10 m long and have an average width of 2 m, then lift of the wind on aeroplane is (Take density of air = 1.5 kg-m⁻1)a)12 kNb)24 kNc)48 kNd)72 kNCorrect answer is option 'C'. Can you explain this answer?.
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