Naked Science Forum

Non Life Sciences => Physics, Astronomy & Cosmology => Topic started by: jeffreyH on 11/04/2014 18:36:53

Title: Are there any data tables available for the pendulum problem?
Post by: jeffreyH 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.
Title: Re: Are there any data tables available for the pendulum problem?
Post by: mybigfatcat on 11/04/2014 18:40:07
Quote from: jeffreyH 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.

I assume you mean at earth's surface...but..
You must specify the radius....position and frequency is radius dependent.
BFC
Title: Re: Are there any data tables available for the pendulum problem?
Post by: evan_au 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:

For larger swings, it diverges from a Cosine function.

See: http://en.wikipedia.org/wiki/Pendulum#Period_of_oscillation
Title: Re: Are there any data tables available for the pendulum problem?
Post by: jeffreyH on 13/04/2014 13:27:23
Quote from: evan_au 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

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