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A simple harmonic oscillation is represe...

A simple harmonic oscillation is represented by the equation y = `0.5sin(50pi t+1.8)`. Where y is in meter and t is in second. Find its amplitude, frequency, time period and initial phase.

Text Solution

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`y=0.5sin(50pi t+1.8)`
comparing with `y=asin(omega t+phi)`
Amplitude `=a=0.5m`
Angular frequency `=omega=2pin=50 pi " rad/s"`
`:.` frequency `=n=(50pi)/(2pi)=25" Hz"`
Time period `=(1)/(n)=(1)/(25)=0.04" Hz"`
Initial phase `=phi=1.8" rad"`.
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