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If (d^(2)y)/(dt^(2))+4=0 is the differen...

If `(d^(2)y)/(dt^(2))+4=0` is the difference equation of SHM then period of oscillation is………second.

Text Solution

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Comparing equation `(d^(2)y)/(dt^(2))+4y=0` with general differential equation `(d^(2)y)/(dt^(2))+omega^(2)x=0`
`omega^(2)= 4`
`therefore omega =2`
`therefore (2pi)/(T)= 2`
`therefore T= pi s`
`therefore T= 3.14 s`.
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