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What is the time period of the SHM indic...

What is the time period of the SHM indicated by the function `sin^(2)omegat`?

Text Solution

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`sin^(2)omegat=1/2(1-cos2omegat)=1/2-1/2cos2omegat`
Here, `1/2cos2omegat` indicates an SHM whose angular frequency = `2omega`.
`therefore` Time period, `T=(2pi)/(2omega)=pi/omega`.
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