The Naked Scientists

The Naked Scientists Forum

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

Online jeffreyH

  • Global Moderator
  • Neilep Level Member
  • *****
  • Posts: 3931
  • Thanked: 55 times
  • The graviton sucks
    • View Profile
I am looking for tables of positional values for the swing of a pendulum over time. This should include angular data.


 

Offline mybigfatcat

  • First timers
  • *
  • Posts: 8
    • View Profile
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
 

Offline evan_au

  • Neilep Level Member
  • ******
  • Posts: 4131
  • Thanked: 249 times
    • View Profile
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
 

Online jeffreyH

  • Global Moderator
  • Neilep Level Member
  • *****
  • Posts: 3931
  • Thanked: 55 times
  • The graviton sucks
    • View Profile
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


 

SMF 2.0.10 | SMF © 2015, Simple Machines
SMFAds for Free Forums