Solve Mass of Glider with Harmonic Motion Help

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elsternj
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Homework Statement


On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 2.20 N/cm . The graph in the figure shows the acceleration of the glider as a function of time.
Find the mass of the glider.

YF-13-31.jpg




Homework Equations


T= 2pi[tex]\sqrt{m/C}[/tex]



The Attempt at a Solution


2.2 N/cm = 220 N/m
C=220

.4 = 2pi[tex]\sqrt{m/220}[/tex]
m = 1389

I know I'm doing something wrong but what?
 
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How much is the period of the sine wave ?
 
would it be .2s? when it passes back through O and to where it started?
 
I tried .2 and .3. are any of these the right time for period? If so then my problem lies elsewhere. any insight? thanks
 
okay i see now. .10 is the time for a period.

so .10 = 2pi [tex]\sqrt{m/220}[/tex]

multiply both sides by [tex]\sqrt{220}[/tex]

1.48 = 2pi[tex]\sqrt{m}[/tex]

divide both sides by 2pi

2.43 = [tex]\sqrt{m}[/tex]

square both sides

m = 5.43 which is still the wrong answer.

is my math wrong? what exactly am i doing wrong?