Relationship between Period of a pendulum and length

  • Thread starter Dynamite
  • Start date
  • #1
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Homework Statement



The formula to find the period of a pendulum is t=2pi √ L/g
where pi = 3.14....
L=length of pendulum
g=gravity

So I was wondering how all of this was put together. How they related together? Why it is multiplied by 2pi

The Attempt at a Solution


I really don't know, it's I'm asking here. I tried graphing it and it gives me a curve.
 

Answers and Replies

  • #2
66
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Hint: Write the equation for simple harmonic motion in terms of [itex]\theta[/itex]
 
  • #3
44
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And use a small angle approximation. That is:

[tex] sin \theta ~= \theta [/tex]

This is applied when an angle is pretty small.
 
  • #4
28
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thank you!
 

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