Question

Find the angle in radian through which a pendulum swings if its length is $1\text{m}$ and the tip describes an arc of length $0.5\text{m}$

• A. $2\text{rad}$
• B. $0.5\text{rad}$
• C. $1.5\text{rad}$
• D. $0.25\text{rad}$

Answer 1

The correct option is B $0.5\text{rad}$

Here, $r=1\text{m}$ and $l=0.5\text{m}$
We know , $\theta =\frac{l}{r}$
$\Rightarrow \theta =\frac{0.5}{1}=0.5\text{rad}$