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The angle made by the strin of a simple ...

The angle made by the strin of a simple pendulum with the verical depends upon time as `theta = (pi)/(90) sin pit`. Find the length (in `m`) of the pendulum if `g = pi^(2)m//s^(2)`

Text Solution

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The correct Answer is:
lenght of the pendulum is 1m.
From the equation
`theta=(pi/0)sin[pi(sec^-1)t]`
`:. omega=pisec^-1`
(comparing with the eqution of SHM)
`(2pi)/T=pi`
`rarr T=2sec`
We know that `t=2pi sqrt((l/g))`
`rarr 2=2pisqrt((l/g))`
`rarr 1=pisqrt((l/g))`
`rarr l=m`
`:.` lenght of the pendulum is 1m.
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