Chapter 12: Problem 51
A plane is in level flight at a constant apeed and each wing has an area of \(25 \mathrm{~m}^{2}\). During flight the speed of the air is \(216 \mathrm{kmh}^{-1}\) over the lower wing surface and \(252 \mathrm{kmh}^{-1}\) over the upper wing surface of each wing of aeroplane. Take density of air \(=1 \mathrm{kgm}^{-3}\) and \(g=10 \mathrm{~ms}^{-2}\) The mass of the plane is (a) \(25 \mathrm{~kg}\) (b) \(250 \mathrm{~kg}\) (c) \(1750 \mathrm{~kg}\) (d) \(3250 \mathrm{~kg}\)
Short Answer
Step by step solution
Understand the Given Problem
Convert Speeds from km/h to m/s
Use Bernoulli's Principle
Calculate the Lift Force
Determine Total Lift Force for Both Wings
Relate Lift Force to Weight to Find Mass
Choose the Correct Option
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Lift Force
- The lift is generated by the pressure difference across the wings.
- This pressure difference is influenced by the shape of the wings and the speed of airflow over them.