What Frequency is Needed for Ultrasonic Cleaning of 3.0 x 10^-2 cm Particles?

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SUMMARY

The discussion centers on determining the minimum frequency required for an ultrasonic cleaning bath to effectively scrub particles measuring approximately 3.0 x 10^-2 cm in diameter. Participants emphasize the importance of using the speed of sound in the cleaning liquid rather than the speed of light for calculations. The relevant equations include frequency (f) as a function of velocity (v) and wavelength (λ), specifically f = v/λ. It is concluded that the frequency must be calculated based on the speed of sound in the liquid medium used for ultrasonic cleaning.

PREREQUISITES
  • Understanding of ultrasonic cleaning technology
  • Familiarity with wave mechanics and frequency calculations
  • Knowledge of the speed of sound in various liquids
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the speed of sound in common ultrasonic cleaning liquids
  • Learn about the relationship between frequency and wavelength in wave mechanics
  • Explore the design and operation of ultrasonic cleaning systems
  • Investigate the effects of frequency on cleaning efficiency for different particle sizes
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Engineers, physicists, and technicians involved in ultrasonic cleaning applications, as well as students studying wave mechanics and fluid dynamics.

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Homework Statement


Particles approximately 3.0 x 10^-2 cm in diameter are to be scrubbed loose from machine parts in an aqueous ultrasonic cleaning bath. Above what frequency should the bath be operated to produce wavelengths of this size and smaller?


Homework Equations


Fn = nv/(2L)
v= SQRT(F/Mew)
Mew=m/L
L=(n/2)Lambada
f=v/(lambada)


The Attempt at a Solution


So far I cannot come up with a beginning place on this one... I am thinking about using f=v/(lambada) but how would i come up with the velocity (v) without mew or F?
 
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I think you just need to use: frequency = (speed of light)/wavelength

Use wavelength = 3.0*10^-2cm = 3.0*10^-4m
 
It's an ultrasound cleaner so it's not the speed of light - it would be the speed of sound in the liquid.
You could just quote the frequency in terms of sound speed if you don't have a value.
 
mgb_phys said:
It's an ultrasound cleaner so it's not the speed of light - it would be the speed of sound in the liquid.
You could just quote the frequency in terms of sound speed if you don't have a value.

Oops. Sorry about that. :redface:
 

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