Underdamped oscillation

[esradw]

An underdamped oscillator`s amplitude decreases with the factor of e^-beta*T(damped) in a one cycle, but I am confused how to find the decrease of the amplitude after 10 cycles. Schould I multiply the factor by 10 like (10*e^-beta*T(damped) ) or when I am calculating the factor , should I just multiply the Td by 10 and then find the factor.( e^-beta*10*T(damped) ?
thanks

 

[finchie_88]

You should do $$e^{-10 \beta T}$$ where T is the time of one oscillation. I think.

 

[esradw]

thanks that was what I thought to but I wasnt sure