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

In summary, the conversation discusses the appropriate frequency for an aqueous ultrasonic cleaning bath to produce wavelengths of approximately 3.0 x 10^-2 cm or smaller, with the equations Fn = nv/(2L), v = SQRT(F/Mew), Mew = m/L, L = (n/2)Lambada, and f = v/(lambada) being mentioned as possible solutions. The participants also consider using the speed of sound in the liquid as a value for the speed in the equations.
  • #1
VTC-nerds
5
0

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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  • #2
I think you just need to use: frequency = (speed of light)/wavelength

Use wavelength = 3.0*10^-2cm = 3.0*10^-4m
 
  • #3
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.
 
  • #4
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:
 

What is the relationship between wavelength and frequency?

Wavelength and frequency are inversely proportional to each other. This means that as the wavelength increases, the frequency decreases and vice versa. This relationship is described by the equation: wavelength = speed of light/frequency.

How are wavelengths and frequency measured?

Wavelengths are typically measured in meters or nanometers, while frequency is measured in hertz (Hz). In some cases, wavelengths may also be expressed in units of time, such as seconds or milliseconds.

What is the difference between electromagnetic and mechanical waves?

Electromagnetic waves, such as light and radio waves, do not require a medium to travel through and can travel through a vacuum. Mechanical waves, such as sound waves, require a medium to travel through and cannot travel through a vacuum.

What is the relationship between energy and frequency?

The relationship between energy and frequency is direct and proportional. This means that as the frequency increases, the energy of the wave also increases. This relationship is described by the equation: energy = Planck's constant x frequency.

How do different wavelengths and frequencies affect the properties of waves?

Waves with shorter wavelengths and higher frequencies have higher energy and can travel further distances. On the other hand, waves with longer wavelengths and lower frequencies have lower energy and cannot travel as far. Additionally, different wavelengths and frequencies also affect how waves interact with matter, such as absorption and reflection.

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