How can I find time, given the frequency?

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SUMMARY

The discussion clarifies that frequency, defined as frequency = 1/t, applies universally across various contexts. Specifically, in the momentum lab scenario, a frequency of 1/50 indicates a period (T) of 50 seconds. The term "Hertz" is used to denote cycles per second, reinforcing that frequency is a measure of how often an event occurs in a given time frame. The key takeaway is that T represents the time it takes for a wave to complete one cycle, confirming the relationship between frequency and time is consistent in all cases.

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I know frequency = 1/t, but is that in every case? In our momentum lab, we were given that the frequency is 1/50... does that mean the time is 50s?
 
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Frequency is usually given in Hertz: Hertz = 1/s
But using any units, yes it is 1/t.

You can think of it as "cycles/second" if you want (or any other time unit), but we just don't write units for cycles.
So yes it is for every case. the t is usually T which stands for the period, you just need to decide in every case what T is measuring.
Usually how long it takes for a wave to repeat itself.
 

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