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sapiental

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the displacement of a simple harmonic oscillator versus time is

described by the function x = Asin(wt + phi)

find the speed when the displacement is sqrt(3) A/2

the answer is piA/2 but I have no idea how the professor got it...

the function for the velocity at point x in our book is

v_x_ = -wAsin(wt + phi)

for some reason it is hard for me to associate the position x with the speed... is there a formula that gives the velocity by just plugging in x?

I just also found a diagram that gives T = 2s which I didn't see before

described by the function x = Asin(wt + phi)

find the speed when the displacement is sqrt(3) A/2

the answer is piA/2 but I have no idea how the professor got it...

the function for the velocity at point x in our book is

v_x_ = -wAsin(wt + phi)

for some reason it is hard for me to associate the position x with the speed... is there a formula that gives the velocity by just plugging in x?

I just also found a diagram that gives T = 2s which I didn't see before

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