Find Damping Constant of Pendulum: Formula & Tips

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To find the damping constant of a pendulum, one must start with the equations of motion for an undamped pendulum and incorporate a retarding force that depends on angular velocity. Understanding linear differential equations is crucial, as they can describe both linear and quadratic drag effects. Familiarity with projectile motion and air resistance is recommended for a solid foundation. The discussion emphasizes guidance over direct answers, encouraging users to derive equations themselves. For further information, resources like Wikipedia on pendulums can be helpful.
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How do I find the damping constant of a pendulum? Is there a formula?
 
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I'd assume that you start with the equations of motion for an undamped pendulum, and then add in a retarding force that increases with angular velocity. Are you familiar with how to derive the equation of motion of a pendulum from the length and the mass?
 
No, all I know is how to find its period.
 
you need to work with linear differiential equations. you can have linear drag or quadratic drag (then it will be nonlinear). i suggest you learn some projectiles motions involving air resistance first if all you know is the formula for the period...
 
Can someone please give me the equation with length and mass? I'll try to derive it.
 
Last edited:
NINHARDCOREFAN said:
Can someone please give me the equation with length and mass? I'll try to derive it.
We don't give out answers here in the PF. We guide:

http://en.wikipedia.org/wiki/Pendulum
 

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