Find the angle in radian through which a pendulum swings if its length is 75 and the tip describes an arc of length 21 cm .

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Solution

We know that $l = r θ$
Here, $l =$ length of arc $= 21$ cm
$r =$ radius $=$ length of pendulum $= 75$ cm
We have $l = r θ$
$\Rightarrow 21 = 75 \times θ$
$\Rightarrow θ = \frac{21}{75} = \frac{7}{25}$ radian

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Find the angle in radian through which a pendulum swings if its length is 75 and the tip describes an arc of length 21 cm .

We know that l=rθHere,l= length of arc=21cmr=radius=length of pendulum=75cmWe have l=rθ⇒21=75×θ⇒θ=2175=725radian

We know that $l = r θ$
Here, $l =$ length of arc $= 21$ cm
$r =$ radius $=$ length of pendulum $= 75$ cm
We have $l = r θ$
$\Rightarrow 21 = 75 \times θ$
$\Rightarrow θ = \frac{21}{75} = \frac{7}{25}$ radian