A=at^2/4(pi)^2
It is the relation between the harmonic frequency number and the amplitude of the wave.
It is the relation between the harmonic frequency number and the amplitude of the wave.
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Hey " That One Interrcial Kid". It spells "Jesus Christ" , with a capital C... If you tell others to spell correctly, you should not make these simple mistakes yourself...!
u(t) = u0 sin(2 pi f t)
du/dt = 2pi f u0 cos(2 pi f t)
(acceleration) a = d^2u/dt^2 = -4 pi^2 f^2 u0 sin( 2pi f t) = -4 pi^2 f^2 u
Now f = 1/T (T being the period of the oscillation), so taking absolute values (to get rid of some minus signs)
|a| T^2 / (4 pi^2) = |u|
So in your formula:
A is amplitude (my u)
a is the absolute size of the acceleration
t is the period (my T)
u(t) = u0 sin(2 pi f t)
du/dt = 2pi f u0 cos(2 pi f t)
(acceleration) a = d^2u/dt^2 = -4 pi^2 f^2 u0 sin( 2pi f t) = -4 pi^2 f^2 u
Now f = 1/T (T being the period of the oscillation), so taking absolute values (to get rid of some minus signs)
|a| T^2 / (4 pi^2) = |u|
So in your formula:
A is amplitude (my u)
a is the absolute size of the acceleration
t is the period (my T)
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acceleration time
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Jesus christ learn how to spell. It's VARIABLES!