EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 4, Problem 18P

A missile leaves the ground with an initial velocity v 0 forming an angle ϕ 0 with the vertical as shown in Fig. P4.18. The maximum desired altitude is α R where R is the radius of the earth. The laws of mechanics can be used to show that

sin   ϕ 0 = ( 1 + α ) 1 α 1 + α ( v e v 0 ) 2

where v e = the escape velocity of the missile. It is desired to fire the missile and reach the design maximum altitude within an accuracy of 62%. Determine the range of values for ± 2 % . Determine the range of values for ϕ 0  if  v e / v 0 = 2  and  α = 0.25

Chapter 4, Problem 18P, A missile leaves the ground with an initial velocity v0 forming an angle 0 with the vertical as

FIGURE P4.18

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