Solutions Manual for An Introduction to Sonar Systems Engineering, 2e by Lawrence J. Ziomek – Complete Chapter Solutions (Ch 1–15)

SOLUTIONS MANUAL u




AN INTRODUCTION TO SONA
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R SYSTEMS ENGINEERING
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SECOND EDITION u




LAWRENCE J. ZIOMEK u u




Complete Chapter Solutions Manual ar
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e included (Ch 1 to 15)
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** Immediate Download
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** Swift Response
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** All Chapters included
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, Chapter 1
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Sectionu1.2

1-1 Verifyu(1.2-12)uandu(1.2-13).

ruur0u  u u u u



 u u u u u u



 u u u


2
 r ur0 u2(ru r0u)
2




Sinceu ruu ru ,u r0u u r0u ,uandu ruurrˆu,uthen


ruur0u  ru2uru02u2r(urˆ•uru0)
  r02 u 
 r u1uuu 2uuu2u
2
 r r 0 

ur 1uub

uru u2 rˆ•ur
whereu buu 0
u2u 0u
u ru
u u

 r




1

,1-2 UsinguFig.uP1-2,ushowuthat

uuucosu usinucosu ,

vuucosuuusinusinu ,

and
wuucosu ucosu ,

whereu uu,u vu,uandu wu areudimensionlessudirectionucosinesuwithurespectutoutheu Xu,u Yu,uandu Z
axes,urespectively.


Z




(r, , )
r



Y




X


FigureuP1-2




2

, Z



rusin



(r, , )

r



Y

rusin




X




r rusin

rucosu rucosu



X X 

urucos
cosu 
rusin
uuusinucosu ucos




3