Period of lightly damped system with amplitude decay

[Ady_h]

Help on question, pleasezzzzzz

Hi, iv been struggling with this question for some time now, so i thought if some1 can help on the follwoing quiestion:

Q) A lightly damped system vibrates with a period of 15.0s. In half a minute its amplitude decreases from 50cm to 5.00mm. What would be the period if the damping force were removed?

Thank you if u answer this question. :::ADY:::

 

[OlderDan]

It takes a bit of work to find their definition of $\omega_0$ here, but this explains the frequency dependence on the damping term of an oscillator. $\omega_0$ is the frequency when no damping is present.

http://hyperphysics.phy-astr.gsu.edu/hbase/oscda.html

 

[bahamut]

There is a fuction describing this.
As far as I can remember,it is A=A(max)*e^(-wt)*cos(wt+...)
Since you know that "In half a minute its amplitude decreases from 50cm to 5.00mm." you can find how much is that "w".But I am not very sure,may I can tell you the accurate one if you contact me at wangkehandsome@hotmail.com later.