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

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Homework Help Overview

The problem involves determining the frequency required for ultrasonic cleaning of particles approximately 3.0 x 10^-2 cm in diameter in an aqueous bath. The focus is on producing wavelengths that are equal to or smaller than the size of the particles.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss using the relationship between frequency and wavelength, with some considering the speed of sound in the liquid rather than the speed of light. Questions arise regarding how to determine the velocity needed for calculations without specific values for density or force.

Discussion Status

There is an ongoing exploration of the correct approach to relate frequency and wavelength in the context of ultrasonic cleaning. Some participants have suggested using the speed of sound in the liquid, while others are still seeking clarity on how to derive necessary values for calculations.

Contextual Notes

Participants are navigating the constraints of not having specific values for the speed of sound in the liquid or other necessary parameters for their calculations.

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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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