Power and Work Formulas in a Gas Turbine Engine
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Questions and Answers

What is the unit of power in the given formula?

  • foot-pounds per second
  • joules per hour
  • newton-meters per minute
  • foot-pounds per minute (correct)

What is the formula for power when work is substituted into it?

  • Power = Force × Velocity
  • Power = Force × Distance × Time
  • Power = Force × Displacement × Time
  • Power = Force × Distance / Time (correct)

What is the unit of distance in the given formula?

  • meters
  • feet (correct)
  • inches
  • yards

What is the unit of time in the given formula?

<p>minutes (D)</p> Signup and view all the answers

What is the alternative formula for power derived from the given formulae?

<p>Power = Force × Velocity (D)</p> Signup and view all the answers

What is the power required to hoist a 2500-lb engine a height of 9 ft in 2 min?

<p>5625 foot-pounds per minute (A)</p> Signup and view all the answers

What is the primary contribution of the fan in a turbofan engine?

<p>To generate a substantial portion of the total thrust (B)</p> Signup and view all the answers

What is the main advantage of turbofan engines over turbojet engines?

<p>Improved fuel efficiency (A)</p> Signup and view all the answers

What is the characteristic of turbofan engines that allows them to retain short-field takeoff capability?

<p>High bypass ratio (A)</p> Signup and view all the answers

What is the difference between forward-fan and aft-fan engines?

<p>The mounting location of the fan (C)</p> Signup and view all the answers

What happens to the inlet air that passes through a turbofan engine?

<p>It is divided into two separate streams of air (D)</p> Signup and view all the answers

Why are turbofan engines commonly used in commercial airliners?

<p>For their fuel efficiency and turbojet-type cruise speed capability (A)</p> Signup and view all the answers

What is the relationship between pressure and velocity in a venturi according to Bernoulli's theorem?

<p>Pressure is inversely proportional to velocity (C)</p> Signup and view all the answers

What is the significance of Bernoulli's theorem in a jet engine?

<p>It is one of the basic principles of operation (D)</p> Signup and view all the answers

What is the total energy of a particle in motion according to Bernoulli's theorem?

<p>Constant at all points on its path (C)</p> Signup and view all the answers

What is the sum of static and dynamic pressure in a venturi?

<p>Total pressure (D)</p> Signup and view all the answers

What are the two forms of energy that describe the propulsive power of a jet engine?

<p>Potential and kinetic (D)</p> Signup and view all the answers

What is the purpose of energy in a gas turbine engine?

<p>To perform useful work (B)</p> Signup and view all the answers

What is the primary source of kinetic energy in an aircraft?

<p>Its velocity and fuel (D)</p> Signup and view all the answers

What happens to the kinetic energy of an aircraft when it lands?

<p>It is released as heat by the brakes (B)</p> Signup and view all the answers

What is the formula for kinetic energy?

<p>1/2 mv^2 (C)</p> Signup and view all the answers

What is the law of conservation of energy?

<p>Energy can neither be created nor destroyed (D)</p> Signup and view all the answers

What is an example of potential energy?

<p>A fully charged battery (A)</p> Signup and view all the answers

What is the thrust of an engine?

<p>Kinetic energy (A)</p> Signup and view all the answers

What is the primary advantage of turbojet engines in high-altitude operations?

<p>Enhanced thrust production (D)</p> Signup and view all the answers

What is the primary purpose of the compressor in a turbojet engine?

<p>To compress air (C)</p> Signup and view all the answers

What is the main difference between a turbojet engine and a turbofan engine?

<p>The efficiency at subsonic cruising speeds (D)</p> Signup and view all the answers

What is the result of the heat generated by the burning fuel in a turbojet engine?

<p>The air expands and flows towards the rear of the engine (A)</p> Signup and view all the answers

What is the primary function of the turbine wheels in a turbojet engine?

<p>To drive the compressor (B)</p> Signup and view all the answers

At what speed range is the turbojet or turbofan engine most widely used?

<p>From 450 mph up (A)</p> Signup and view all the answers

Study Notes

Formulae for Power and Work

  • Power formula: P = W / t
  • Work formula: W = F × D
  • Substituting work formula into power formula: P = F × D / t
  • Simplified power formula: P = F × v, where v is velocity

Worked Example

  • A 2500-lb engine is hoisted 9 ft in 2 min, requiring a certain amount of power

Turbofan Engines

  • Turbofan engines have turbojet-type cruise speed capability and short-field take-off capability
  • Fans produce 30%–90% of total thrust, depending on bypass ratio
  • Nearly all present-day airliners use turbofan engines due to fuel efficiency
  • Fan can be mounted to front (forward-fan engine) or back (aft-fan engine) of compressor

Bernoulli's Theorem

  • "The total energy of a particle in motion is constant at all points on its path at a steady flow"
  • In a venturi, pressure is inversely proportional to velocity
  • Significance: basic principle of operation of a jet engine

Potential and Kinetic Energy

  • Energy is used to perform useful work in a gas turbine engine
  • Potential energy: stored energy due to position (e.g., water behind a dam or fuel)
  • Kinetic energy: energy possessed by a body due to its motion
  • Kinetic energy formula: KE = 1/2 mv^2, where m is mass and v is velocity
  • The thrust of the engine is kinetic energy

Conservation of Energy

  • "Energy can neither be created nor destroyed"
  • The law of conservation of energy applies to turbojet engines

Turbojet Engines

  • Turbojet engines use acceleration of airflow to produce thrust
  • Suitable for high-speed, high-altitude operations due to enhanced efficiencies
  • Basic operating principles: air enters through inlet duct, is compressed, mixed with fuel, and ignited, then exits engine at high velocity, producing thrust

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Description

This quiz covers the formulas for power and work in the context of a gas turbine engine, specifically for CASA Part 66 training. It involves substituting the work formula into the power formula.

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