Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
1. The turbofan engines on a commercial airplane are sized in order to be able to provide enough thrust such that the aircraft can take off on the length of the runway that is available. (Note: later after takeoff and during cruise the engines only need to produce about 1/4th the thrust that they provide for takeoff.) A Boeing 767 has the following specifications at takeoff: Thrust: two GE CF6 engines, each rated at takeoff thrust of 213 kN = 47,880 lbf Take off mass M 150,000 kg Air density Pa = 0.8 kg/m³ Lift coefficient at takeoff C₁ = 2.2 where: Lift coefficient is defined as CL = (lift force) / [(1/2) pa U² S] Wing planform area S = 220 m² U = airplane velocity, increases from zero to a larger number that you have to determine. a) The FAA specification says the aircraft must accelerate to takeoff velocity over a distance that equals half of the total airport runway length; the runway length is 2400 m. What is the total aircraft engine thrust (from both engines) required to meet this specification? b) Does our Boeing 767 have engines that provide enough thrust? At the low speeds that occur during takeoff you can ignore rolling friction and aerodynamic drag.

1. The turbofan engines on a commercial airplane are sized in order to be able to provide enough thrust such that the aircraft can take off on the length of the runway that is available. (Note: later after takeoff and during cruise the engines only need to produce about 1/4th the thrust that they provide for takeoff.) A Boeing 767 has the following specifications at takeoff: Thrust: two GE CF6 engines, each rated at takeoff thrust of 213 kN = 47,880 lbf Take off mass M 150,000 kg Air density Pa = 0.8 kg/m³ Lift coefficient at takeoff C₁ = 2.2 where: Lift coefficient is defined as CL = (lift force) / [(1/2) pa U² S] Wing planform area S = 220 m² U = airplane velocity, increases from zero to a larger number that you have to determine. a) The FAA specification says the aircraft must accelerate to takeoff velocity over a distance that equals half of the total airport runway length; the runway length is 2400 m. What is the total aircraft engine thrust (from both engines) required to meet this specification? b) Does our Boeing 767 have engines that provide enough thrust? At the low speeds that occur during takeoff you can ignore rolling friction and aerodynamic drag.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question

answer a & b. Please show all your work!!

1. The turbofan engines on a commercial airplane are sized in order to be able to provide enough thrust such that the aircraft can take off on the length of the runway that is available. (Note: later after takeoff and during cruise the engines only need to produce about 1/4th the thrust that they provide for takeoff.) A Boeing 767 has the following specifications at takeoff: Thrust: two GE CF6 engines, each rated at takeoff thrust of 213 kN = 47,880 lbf Take off mass M 150,000 kg Air density Pa = 0.8 kg/m³ Lift coefficient at takeoff C₁ = 2.2 where: Lift coefficient is defined as CL = (lift force) / [(1/2) pa U² S] Wing planform area S = 220 m² U = airplane velocity, increases from zero to a larger number that you have to determine. a) The FAA specification says the aircraft must accelerate to takeoff velocity over a distance that equals half of the total airport runway length; the runway length is 2400 m. What is the total aircraft engine thrust (from both engines) required to meet this specification? b) Does our Boeing 767 have engines that provide enough thrust? At the low speeds that occur during takeoff you can ignore rolling friction and aerodynamic drag.
Transcribed Image Text:1. The turbofan engines on a commercial airplane are sized in order to be able to provide enough thrust such that the aircraft can take off on the length of the runway that is available. (Note: later after takeoff and during cruise the engines only need to produce about 1/4th the thrust that they provide for takeoff.) A Boeing 767 has the following specifications at takeoff: Thrust: two GE CF6 engines, each rated at takeoff thrust of 213 kN = 47,880 lbf Take off mass M 150,000 kg Air density Pa = 0.8 kg/m³ Lift coefficient at takeoff C₁ = 2.2 where: Lift coefficient is defined as CL = (lift force) / [(1/2) pa U² S] Wing planform area S = 220 m² U = airplane velocity, increases from zero to a larger number that you have to determine. a) The FAA specification says the aircraft must accelerate to takeoff velocity over a distance that equals half of the total airport runway length; the runway length is 2400 m. What is the total aircraft engine thrust (from both engines) required to meet this specification? b) Does our Boeing 767 have engines that provide enough thrust? At the low speeds that occur during takeoff you can ignore rolling friction and aerodynamic drag.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS