Write a program which simulates the launch of a rocket. Solve the differential equations for the velocity, acceleration and mass loss for the rocket using Euler's method, with a suitable time step. Assuming different amounts of fuel mass and thrust, investigate whether the rocket escapes into space, reaches orbit or falls back to Earth? The force (F) acting on a rocket of mass (m) are given by: F = -mg D+T for v > 0 F = - -mg+D-T for v<0 where mg is force of gravity, D is drag, T is thrust and v is velocity of the rocket. The air resistance force (drag force) on an object moving with speed v can be approximated by Fdrag = -0.5CpAv², where p is the air density and A is the cross section. The drag coefficient C depends on an object's shape and for a rocket we can assume C~0.1 The thrust of a rocket depends on the rate of propellant mass loss (fuel) and the exhaust velocity (Vexhaust), T = m fuel Vexhaust The density of the atmosphere can be approximated as p = poe-h/ho, where h is the current altitude, ho = 1.0 × 104 m, and po is air density at sea level (po = 1.25 kg m-³).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

In python with Eulers method please:

Write a program which simulates the launch of a rocket. Solve the differential equations for
the velocity, acceleration and mass loss for the rocket using Euler's method, with a suitable
time step. Assuming different amounts of fuel mass and thrust, investigate whether the rocket
escapes into space, reaches orbit or falls back to Earth?
The force (F) acting on a rocket of mass (m) are given by:
F = -mg D+T for v > 0
F
=
-
-mg+D-T for v<0
where mg is force of gravity, D is drag, T is thrust and v is velocity of the rocket.
The air resistance force (drag force) on an object moving with speed v can be approximated by
Fdrag = -0.5CpAv², where p is the air density and A is the cross section. The drag coefficient
C depends on an object's shape and for a rocket we can assume C~0.1
The thrust of a rocket depends on the rate of propellant mass loss (fuel) and the exhaust
velocity (Vexhaust),
T = m fuel Vexhaust
The density of the atmosphere can be approximated as p = poe-h/ho, where h is the current
altitude, ho = 1.0 × 104 m, and po is air density at sea level (po = 1.25 kg m-³).
Transcribed Image Text:Write a program which simulates the launch of a rocket. Solve the differential equations for the velocity, acceleration and mass loss for the rocket using Euler's method, with a suitable time step. Assuming different amounts of fuel mass and thrust, investigate whether the rocket escapes into space, reaches orbit or falls back to Earth? The force (F) acting on a rocket of mass (m) are given by: F = -mg D+T for v > 0 F = - -mg+D-T for v<0 where mg is force of gravity, D is drag, T is thrust and v is velocity of the rocket. The air resistance force (drag force) on an object moving with speed v can be approximated by Fdrag = -0.5CpAv², where p is the air density and A is the cross section. The drag coefficient C depends on an object's shape and for a rocket we can assume C~0.1 The thrust of a rocket depends on the rate of propellant mass loss (fuel) and the exhaust velocity (Vexhaust), T = m fuel Vexhaust The density of the atmosphere can be approximated as p = poe-h/ho, where h is the current altitude, ho = 1.0 × 104 m, and po is air density at sea level (po = 1.25 kg m-³).
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education