The upward velocity of a rocket can be computed by the following formula: mo v = u ln mo gt qt | where v =upward velocity,u = the velocity at which fuel is expelled relative to the rocket, m, = the initial mass of the rocket, q = the fuel consumption rate, and g = the downward acceleration of gravity (assumed constant =9.81 m/s²). %3D If u = 2200 m/s, m, = 160000 kg and q = 2680 kg/s, compute the time at which v = 1000 m/s using,

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
icon
Related questions
Question
The upward velocity of a rocket can be computed by the following formula:
m.
v = u ln
mo
gt
qt
where v =upward velocity,u = the velocity at which fuel is expelled relative to the rocket,
m, = the initial mass of the rocket, q = the fuel consumption rate, and g = the downward
acceleration of gravity (assumed constant =9.81 m/s2).
%3D
If u = 2200 m/s, m, = 160000 kg and q
v = 1000 m/s using,
= 2680 kg/s, compute the time at which
1. The graphical method, take t = 0 to 30 s with step (10 s).
2. The false-position method to within ɛ, = 0.12%. Use initial guesses of t = 20 s and 30 s.
%3D
Transcribed Image Text:The upward velocity of a rocket can be computed by the following formula: m. v = u ln mo gt qt where v =upward velocity,u = the velocity at which fuel is expelled relative to the rocket, m, = the initial mass of the rocket, q = the fuel consumption rate, and g = the downward acceleration of gravity (assumed constant =9.81 m/s2). %3D If u = 2200 m/s, m, = 160000 kg and q v = 1000 m/s using, = 2680 kg/s, compute the time at which 1. The graphical method, take t = 0 to 30 s with step (10 s). 2. The false-position method to within ɛ, = 0.12%. Use initial guesses of t = 20 s and 30 s. %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Dimensional Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
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