Solving Simple Oscillation Frequency: A Quick Guide

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Homework Help Overview

The discussion revolves around calculating the frequency of simple oscillation given a period expressed in microseconds. Participants are exploring unit conversions and the relationship between period and frequency.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants attempt to convert the period from microseconds to seconds and calculate the frequency. Questions arise regarding the correct interpretation of units and powers of ten.

Discussion Status

There is an ongoing exploration of unit conversions and calculations. Some participants have provided guidance on checking units and the correct power of ten, while others are verifying their calculations without reaching a final consensus.

Contextual Notes

Participants are discussing the implications of unit conversion errors and the importance of accuracy in calculations, particularly with 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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