What is the Period of Oscillation for a Frequency of 315 Hz?

AI Thread Summary
The discussion focuses on calculating the period of oscillation, T, for a frequency of 315 Hz. The relationship between frequency (f) and period is clarified, emphasizing that T is the reciprocal of f, expressed as T = 1/f. Participants highlight the importance of understanding the definitions of frequency and period to solve for T without needing additional values like velocity or wavelength. The conversation also touches on the necessity of ensuring units are consistent across equations. Ultimately, the key takeaway is the straightforward relationship that T equals 1 divided by the frequency.
mikefitz
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The frequency of oscillations of, f, is equal to 315 Hz. What is the value of the period of oscillations, T?

I understand that the speed of the wave is related to the wavelength and the frequency according to this:

v = w/f = w/T

But, how am I to solve for T if I don't know the value of 'v' or 'w' ? I know I'm missing something simple here.
 
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Include units to help you get a more intuitive feeling for what is going on.

What are the mks units of velocity?

What are the mks units of wavelength?

What are the mks units of frequency? (Hint: what are the units of period?)

The units on the lefthand side and righthand side of an equation *must* be equal.
 
mikefitz said:
I understand that the speed of the wave is related to the wavelength and the frequency according to this:

v = w/f = w/T
If that were true, it would mean that f = T. You're thinking of v = wf.

But, how am I to solve for T if I don't know the value of 'v' or 'w' ? I know I'm missing something simple here.

Yes, you are missing something: the very simple relationship between frequency and period. To figure that out, ask yourself what frequency means. What the meaning of a frequency of 1 Hz? 2 Hz? Then ask yourself what period means.
 
doh! f=1/T - I knew it was something simple! Thanks again guys.
 

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