# The Naked Scientists Forum

### Author Topic: Are there any data tables available for the pendulum problem?  (Read 1223 times)

#### jeffreyH

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##### Are there any data tables available for the pendulum problem?
« on: 11/04/2014 18:36:53 »
I am looking for tables of positional values for the swing of a pendulum over time. This should include angular data.

#### mybigfatcat

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##### Re: Are there any data tables available for the pendulum problem?
« Reply #1 on: 11/04/2014 18:40:07 »
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..
BFC

#### evan_au

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##### Re: Are there any data tables available for the pendulum problem?
« Reply #2 on: 11/04/2014 23:26:12 »
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

#### jeffreyH

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##### Re: Are there any data tables available for the pendulum problem?
« Reply #3 on: 13/04/2014 13:27:23 »
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.

#### The Naked Scientists Forum

##### Re: Are there any data tables available for the pendulum problem?
« Reply #3 on: 13/04/2014 13:27:23 »