Question

A nickel crystal of length 10 cm with density 8.1×10^3 kg m-3 and Young’s modulus is 8.2 × 10^11 Nm-2 is used in a magnetostrictive oscillator. Determine the fundamental frequency of the ultrasonic waves generated. ​

Answer 1

Answer:

:

#Variable declaration

d = 8e-004; # Thickness of the piece of piezoelectric crystal, m

v = 5760; # Velocity of ultrasonic waves in the piece of piezoelectric crystal, m/s

#Calculations

n = v/(2*d); # The frequency of the fundamental mode of ultrasonic wave, Hz

#Result

print "The frequency of the fundamental mode of ultrasonic wave = %3.1f MHz"%(n/1e+006)

The frequency of the fundamental mode of ultrasonic wave = 3.6 MHz