the equation of simple harmonic motion is y=0.6sin(50πt+π\4)m.Find the value of amplitude , frequency and time period.
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Answer:
frim equation given
amplitude = 0.6
angular vel = 50 pi
frequency= angular vel / pi = 50
time period = 1/frequency = 1/50 = 0.02
hope my math is correct , but u can get answer easily coz
displacement of particle y = amplitude f( angular velocity x timeperiod + k distance in one oscillation )
where f means functions like sin or cos
k = 1/displacement of wave
keep this shortcut in mind n it will help,
helped a non math bio student like me learn waves from scratch so I m sure it ll help u just make sure u know all the small related formulas to this like
velocity = angular vel/ k
n stuff
and generally time period is just represented as t and distance per oscillation is X
they ask u to find that tooo
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