A mass is oscillating on a spring with a period of 1.20 s. At t = 0 the mass has zero speed and is at x = 4.85 cm. What is the magnitude of the acceleration at t = 3.30 s?
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OpenStudy (mos1635):
V=0 =>X=Xmax=maggnute=A=4.85^-2 m
T=1.2 sec
ω=2π/Τ
α=-ω^2 * Α sin(ω t + π/2)
go for it
OpenStudy (anonymous):
does this stand for the acceleration am trying to find α?
OpenStudy (anonymous):
am getting (-4.780cm/s^2) though not sure,i have one trial left
OpenStudy (anonymous):
u there?
OpenStudy (mos1635):
yes
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OpenStudy (anonymous):
is this α my acceleration?
OpenStudy (anonymous):
i too \[w=2\pi f\]
OpenStudy (anonymous):
and A=4.85^-2 m
OpenStudy (anonymous):
α=-ω^2 * Α sin(ω t + π/2)
this is my amplitude A=4.85^-2 m ?
and this is my \[w=2\pi f\]
and my acceleration is this α?
OpenStudy (mos1635):
yes
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OpenStudy (mos1635):
a=4.781906 m!!!!/sec^2
that is my ans
OpenStudy (anonymous):
meaning i should x=4.85cm to meters?
OpenStudy (mos1635):
I am used to SI
OpenStudy (anonymous):
ok so the acceleration uis the negative of the answer u just wrote,-4.781?
OpenStudy (mos1635):
i suppose if given x to cm
acceleretion will be acceptable to -478.1906 cm/sec^2
(yes minus)
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OpenStudy (anonymous):
oops! the system says it was wrong,and dat was my last trial :)
OpenStudy (mos1635):
you did nt put the whole value?
-478.20 should be our ans according to given values
i wrote the accurate number as i am used to (sorry)