What Frequency is Needed for Effective Ultrasonic Cleaning?

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To effectively scrub particles approximately 3.0 X 10-2 cm in diameter from machine parts in an ultrasonic cleaning bath, a frequency above 5 x 10^6 Hz is needed, based on calculations using the speed of sound in water at 1500 m/s. While the initial calculation is correct, it is advised to perform all calculations in SI units to avoid conversion errors in future problems. Using SI units from the start can streamline the process and enhance accuracy. The discussion emphasizes the importance of unit consistency in scientific calculations. Overall, maintaining proper unit usage is crucial for effective problem-solving in ultrasonic cleaning applications.
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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



speed of sound in water = 1500 m/s
frequency = (speed of sound)/wavelength




The Attempt at a Solution



1500x10^4/3 = 5x10^6 Hz
does this sound right?
 
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Hi

Yes, your calculations seem correct. But let me give you a tip, always do your calculations in SI units. You have the velocity in SI unit, why not change the diameter to SI instead of the other way around?

In this case you are alright since frequency is dimensionless. However, in a case where the result is not dimensionless you will save time and minimized conversion errors risks having used SI units to begin with.

Cheers!
 

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