SOLUTIONS MANUAL AN INTRODUCTION TO SONAR SYSTEMS ENGINEERING SECOND EDITION LAWRENCE J. ZIOMEK COMPLETE CHAPTER SOLUTIONS MANUAL ARE INCLUDED (CH 1 TO 15)LATEST UPDATE 2025/2026 A+

SOLUTIONS MANUAL AN
INTRODUCTION TO SONAR
SYSTEMS ENGINEERING SECOND
EDITION LAWRENCE J. ZIOMEK
COMPLETE CHAPTER SOLUTIONS
MANUAL ARE INCLUDED (CH 1 TO
15)LATEST UPDATE 2025/2026 A+

, Chapter 1
SECTION 1.2

1-1 Verify (1.2-12) And (1.2-13).

R  R0 


2

2
r  r0  2(r r0 )


Since R  R , R0  R0 , And R  Rrˆ , Then


R  R0  r2  r 02 2r( rˆ• r0 )

 r2
 r2 1  02  2 0
 r r 
 R 1 b

 R 2 Rˆ• R
Where B   2 0
0   R
 R




1

,1-2 Using Fig. P1-2, Show
That
U  Cos  Sin Cos ,

V  Cos   Sin Sin ,

And
W  Cos  Cos ,

Where U , V , And W Are Dimensionless Direction Cosines With Respect To The X ,
Y , And Z
Axes, Respectively.


Z




(r, , )
r



Y




X


Figure P1-2




2

, Z



r sin



(r, , )
r



Y

r sin




X




r r sin

R Cos R Cos



X X

R Cos
Cos 
R Sin
U  Sin Cos  Cos




3