Solving Simple Oscillation Frequency: A Quick Guide

AI Thread Summary
The discussion focuses on calculating the frequency of oscillation using the period of 0.400 microseconds. Participants emphasize the importance of correctly interpreting units, particularly the power of ten associated with microseconds. After clarifying that 0.400 μs equals 4*10^-7 seconds, they confirm the calculation of frequency, arriving at 2,500,000 Hz. The conversation highlights the need for precision in unit conversion to avoid errors. Overall, the correct frequency is established as 2,500,000 Hz based on the given period.
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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