Find the angle in radian through which a pendulum swings if its length is $75\, cm$ and the tip describes an arc of length.
$21\,cm$
Find the angle in radian through which a pendulum swings if its length is $75\, cm$ and the tip describes an arc of length.
$21\,cm$
We know that in a circle of radius $r$ unit, if an arc of length $l$ unit subtends
An angle $\theta$ radian at the centre, then $\theta=\frac{l}{r}$
It is given that $r=75 \,cm$
Here, $l=21 \,cm$
$\theta=\frac{21}{75}$ radian
$=\frac{7}{25}$ radian
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- [KVPY 2009]