THINKING LIKE AN ENGINEER W/ACCESS
THINKING LIKE AN ENGINEER W/ACCESS
17th Edition
ISBN: 9781323522127
Author: STEPHAN
Publisher: PEARSON C
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Chapter 9, Problem 9ICA

It is proposed to create a set of dimensionless numbers used to describe the phenomena of reaching the escape velocity necessary to orbit the Earth. A set of names is proposed, based on famous astronauts:

  • The Gagarin number, after Yuri Gagarin, a Russian astronaut and the first human to achieve escape velocity and orbit the Earth in outer space;
  • The Valentina number, after Valentina Tereshkova, a Russian astronaut who was the first female to orbit the Earth;
  • The Shepard number, after Alan Shepard, the first American to orbit the Earth; and
  • The Ride number, after Sally Ride, the first American woman in space.

To begin the analysis, assume the following variables are important:

g = Gravitational pull between planet and rocket [=] meters per second squared [m/s2]
nr = Amount of rocket fuel [=]moles [mol]
wp = Weight of planet [=] pounds-force [lbf]
d = Diameter of planet [=]miles [mi]
G = Newtonʼs gravitational constant [=] newton meters squared per kilogram squared [N m2/kg2]
v = Velocity of rocket [=] miles per hour [mph or mi/h]
η = Efficiency of the rocket engine [=] unitless

Determine a set of dimensionless groups using Rayleighʼs method.

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Students have asked these similar questions
Q1/ A vertical, circular gate with water on one side as shown. Determine the total resultant force acting on the gate and the location of the center of pressure, use water specific weight 9.81 kN/m³ 1 m 4 m
I need handwritten solution with sketches for each
Given answers to be: i) 14.65 kN; 6.16 kN; 8.46 kN ii) 8.63 kN; 9.88 kN iii) Bearing 6315 for B1 & B2, or Bearing 6215 for B1

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