Are there any data tables available for the pendulum problem?

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Offline jeffreyH

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I am looking for tables of positional values for the swing of a pendulum over time. This should include angular data.

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Offline mybigfatcat

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I am looking for tables of positional values for the swing of a pendulum over time. This should include angular data.

I assume you mean at earth's surface...but..
You must specify the radius....position and frequency is radius dependent.
BFC

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Offline evan_au

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You can generate your own tables from the equation for a position of a pendulum.

This simple equation is valid for small oscillations:

θ(t) = θ0COS(2πt/T)
Where:
  • θ(t) is the angle as a function of time
  • θ0 is the initial angle
  • COS is the Cosine function
  • t is the time
  • and T is the period of the pendulum

For larger swings, it diverges from a Cosine function.

See: http://en.wikipedia.org/wiki/Pendulum#Period_of_oscillation

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Offline jeffreyH

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You can generate your own tables from the equation for a position of a pendulum.

This simple equation is valid for small oscillations:

θ(t) = θ0COS(2πt/T)
Where:
  • θ(t) is the angle as a function of time
  • θ0 is the initial angle
  • COS is the Cosine function
  • t is the time
  • and T is the period of the pendulum

For larger swings, it diverges from a Cosine function.

See: http://en.wikipedia.org/wiki/Pendulum#Period_of_oscillation

Thanks. It may be a while before I get to this but I will post results of anything I derive.