# Damped oscillations

1. Jun 2, 2012

### amit25

1. The problem statement, all variables and given/known data

Does the time for one oscillation, change during the damped oscillations? and please explain

2. Relevant equations

3. The attempt at a solution

2. Jun 2, 2012

### Sleepy_time

Hi amit25. The differential equation for damped oscillations is:
$\ddot{x}+\gamma\dot{x}+\omega_0^2x=0$​
If you solve for the angular frequency of this system and substitute a relationship between the angular frequency and the period of one oscillation. Is this relationship time dependent or independent? That should give you your answer.

3. Jun 2, 2012

### amit25

so time is independent

4. Jun 2, 2012

### Sleepy_time

The period for one oscillation is independent of the time (as long as γ and ω0 are time independent) if you work out an equation for it.