How damped harmonic oscillator affects period

Click For Summary
SUMMARY

The discussion clarifies how damping influences the period of a torsion pendulum. The angular frequency, denoted as w, is defined by the equation w = sqrt((k/m) - (b^2/4m^2)), where k represents the torsion constant, b is the damping constant, and m is the mass. The period is inversely related to this frequency, confirming that damping does indeed affect the period, contingent on proper unit management.

PREREQUISITES
  • Understanding of torsion pendulum mechanics
  • Familiarity with angular frequency calculations
  • Knowledge of damping constants in oscillatory systems
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the effects of damping on different types of oscillators
  • Explore the relationship between angular frequency and period in depth
  • Study the implications of varying the torsion constant (k) on oscillation
  • Learn about practical applications of damped harmonic oscillators in engineering
USEFUL FOR

Physics students, mechanical engineers, and anyone studying oscillatory motion and its damping effects.

p3forlife
Messages
20
Reaction score
0
I have trouble understanding how damping affects the period (of a torsion pendulum). I know that damping affects the amplitude of the oscillator, however how would damping change the period then?

I have a feeling this has to do with angular frequency, w, given by:

w = sqrt( (k/m) - (b^2/4m^2) )
where k is the torsion constant
b is the damping constant
m is the mass on the pendulum

Since the period is the inverse of frequency, would the inverse of the above equation answer my question?
 
Physics news on Phys.org
Yes, as long as you ensure that the units are right.
 

Similar threads

Replies
9
Views
2K
Replies
3
Views
850
  • · Replies 1 ·
Replies
1
Views
3K
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
8
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 9 ·
Replies
9
Views
7K
  • · Replies 7 ·
Replies
7
Views
2K