Solutions for An Introduction to Sonar Systems Engineering, 2nd Edition by Lawrence J. Ziomek

SOLUTIONS MANUAL u




AN INTRODUCTION TO SON
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AR SYSTEMS ENGINEERING
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SECOND EDITION u




LAWRENCE J. ZIOMEK u u




Complete Chapter Solutions Manualare
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included (Ch 1 to 15)
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** Immediate Download
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** Swift Response
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** All Chapters included
u u u

, Chapter 1
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Sectionu1.2

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

ruur0u (ruur0u)•(ruur0u)
 ru•(ruur0u)uur0u•u(ruur0u)
 ru•uruuru•ur0u ur0u •uruur0u •ur0

2
 r u r0u u u2(ru•ur0u)
2


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


ruur0u ruu2 uruu02u2r(ur̂ •uruu)0

 r02 r̂ •uruu0 
 r u1uu 2u u2
2

  r r 
ur 1uub

uru u2 r̂ •ur
whereu buuu u 0u u2 0u
u ru 
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,u , )
r



Y




X


FigureuP1-2




2

, Z



rusin



(r,u , )

r



Y

rusin




X




r rusin

rucos rucos



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




3