What is the length of a simple pendulum, which ticks seconds?
What is the length of a simple pendulum, which ticks seconds?
the time period of a simple pendulum is given by,
$T=2 \pi \sqrt{\frac{L}{g}}$
From this relation one gets,
$L=\frac{g T^{2}}{4 \pi^{2}}$
The time period of a simple pendulum, which ticks seconds, is $2\, s$. Therefore, for $g=9.8 \,m s ^{-2}$ and $T=2 s , L$ is
$=\frac{9.8\left( m s ^{-2}\right) \times 4\left( s ^{2}\right)}{4 \pi^{2}}$
$=1 \,m$
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