Oscillations of air-track glider

[Kalie]

A 160 g air-track glider is attached to a spring with spring constant 4.40 N/m. The damping constant due to air resistance is 2.40×10−2 kg/s. The glider is pulled out 23.0 cm from equilibrium and released.

How many oscillations will it make during the time in which the amplitude decays to e^-1 of its initial value?

I have no clue how to approach this problems except that
x(t)=Ae^-bt/2m=Ae^-t/2tau
but how can I fin that amount of oscillations?
I'm confused and the dead lines in an hour
please help!

 

[OlderDan]

A 160 g air-track glider is attached to a spring with spring constant 4.40 N/m. The damping constant due to air resistance is 2.40×10−2 kg/s. The glider is pulled out 23.0 cm from equilibrium and released.

How many oscillations will it make during the time in which the amplitude decays to e^-1 of its initial value?

I have no clue how to approach this problems except that
x(t)=Ae^-bt/2m=Ae^-t/2tau
but how can I fin that amount of oscillations?
I'm confused and the dead lines in an hour
please help!

The damped oscillator equation for x(t) has a decaying exponential part and an oscillatory part (sine or cosine). You need both parts to do this problem.

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