Solving Simple Oscillation Frequency: A Quick Guide

In summary, The conversation is about finding the frequency using a given equation, with the participants discussing and correcting the units and values used. They eventually reach an agreement on the correct frequency in Hz, 2500000 Hz.
  • #1
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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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  • #2
Yes . Careful with the units.
 
  • #3
Be mega-careful!
 
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  • #4
Would 0.400 μs be 4*10^7 seconds?
 
  • #5
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.
 
  • #6
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?
 
  • #7
What power of 10 is µ ?
 
Last edited:
  • #8
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?
 
  • #9
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​
 
  • Informative
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1. What is simple oscillation frequency?

Simple oscillation frequency refers to the rate at which an object or system oscillates or vibrates back and forth around a central equilibrium point. It is often measured in hertz (Hz) or cycles per second and can be affected by factors such as mass, stiffness, and damping.

2. How do you calculate simple oscillation frequency?

The formula for calculating simple oscillation frequency is f = 1/T, where f is the frequency and T is the period (the time it takes for one full oscillation). This formula assumes that the oscillation is a perfect sine wave and that there is no external force acting on the system.

3. What are some real-life examples of simple oscillation?

Simple oscillation can be observed in many natural and man-made systems, such as a pendulum swinging back and forth, a guitar string vibrating, a car's suspension system moving up and down, or a spring bouncing up and down.

4. How does changing the mass or stiffness affect simple oscillation frequency?

Increasing the mass of an object or system will decrease the simple oscillation frequency, while increasing the stiffness will increase the frequency. This is because mass and stiffness are inversely proportional to frequency in the formula f = 1/T.

5. Can simple oscillation frequency be affected by external forces?

Yes, external forces such as friction or air resistance can affect the simple oscillation frequency of a system. These forces can cause the amplitude (or height) of the oscillations to decrease over time, resulting in a decrease in frequency. Damping, which is the gradual loss of energy in an oscillating system, can also affect the frequency.

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