Solving Simple Oscillation Frequency: A Quick Guide

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SUMMARY

The discussion centers on calculating the frequency of oscillation based on a period of 0.400 microseconds (μs). The correct conversion of 0.400 μs is 4 x 10-7 seconds, leading to a frequency of 2,500,000 Hz. Participants emphasize the importance of careful unit conversion and the correct application of scientific notation in frequency calculations. A spreadsheet confirms the frequency calculation, validating the approach taken by the contributors.

PREREQUISITES
  • Understanding of oscillation frequency and period
  • Familiarity with scientific notation and unit conversions
  • Basic knowledge of Hertz (Hz) as a unit of frequency
  • Proficiency in using spreadsheet software for calculations
NEXT STEPS
  • Learn about the relationship between period and frequency in oscillatory systems
  • Explore advanced unit conversion techniques in physics
  • Study the application of scientific notation in engineering calculations
  • Investigate the use of spreadsheets for complex frequency analysis
USEFUL FOR

Students, engineers, and physicists interested in oscillation frequency calculations and those seeking to improve their skills in unit conversion and scientific notation.

bobacity
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Homework Statement
A medical imaging device produces ultrasound by oscillating with a period of 0.400 μs. What is the frequency of this oscillation? Answer in units of Hz.
Relevant Equations
f = 1/T
I think I can solve the frequency by doing 1/0.400 μs, but I'm not sure.
 
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Yes . Careful with the units.
 
Be mega-careful!
 
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Would 0.400 μs be 4*10^7 seconds?
 
bobacity said:
Would 0.400 μs be 4*10^7 seconds?
No. Are you sure that you typed what you meant to type? Check the sign of the power of 10.
 
TSny said:
No. Are you sure that you typed what you meant to type? Check the sign of the power of 10.
oops, I meant 4*10^-7 seconds! Is that correct?
 
What power of 10 is µ ?
 
Last edited:
bobacity said:
oops, I meant 4*10^-7 seconds! Is that correct?
Yes, that is the period. What do you get for the frequency in Hz?
 
bobacity said:
Would 0.400 μs be 4*10^7 seconds?
That's mega-careless!
 
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  • #10
PeroK said:
That's mega-careless!
PeroK is never rude. But he can be punny.
 
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  • #11
TSny said:
Yes, that is the period. What do you get for the frequency in Hz?
Would it be 2500000 Hz?
 
  • #12
bobacity said:
Would it be 2500000 Hz?
My spreadsheet agrees with you:

Tf
4.00E-07​
2500000​
 
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