Chapter 12 Ultrasonics

Example 12.1 Page no 388

In [5]:
#Given
y=115*10**9                                  #N/m**2
t=40.0*10**-3
a=7.25*10**3                                 #kg/m**3

#Calculation
import math
n=(math.sqrt(y/a))/(2*t)

#Resut
print"Fundamental frequency is",round(n*10**-3,1),"KHz"

Fundamental frequency is 49.8 KHz

Example 12.2 Page no 388

In [11]:
#Given
y=8*10**10                          #N/m**2
a=5000.0                               #Kg/m**3
V=400.0

#Calculation
import math
v=math.sqrt(y/a)
w=v/V

#Result
print"(a) Velocity is", v,"m/sec"
print"(b) Wavelength is",w,"mt"

(a) Velocity is 4000.0 m/sec
(b) Wavelength is 10.0 mt

Example 12.3 Page no 389

In [19]:
#Given
v=1700                               #m/s
t=0.65                                #sec
n=0.7*10**5

#Calculation
d=v*t/2.0
w=v/n

#Result
print"Depth of sea is", d,"m"
print"Wavelength of pulse is",round(w,4),"m"

Depth of sea is 552.5 m
Wavelength of pulse is 0.0243 m