Find the angle in radians as well as in degrees through which a pendulum

Question:

Find the angle in radians as well as in degrees through which a pendulum swings if its length is 45 cm and its tip describes an arc of length 11 cm 

Solution:

We know that l = r × θ

Here $I=$ length of $\operatorname{arc}=11 \mathrm{~cm}$

$\mathrm{R}=$ radius $=$ length of pendulum $=45 \mathrm{~cm}$

We need to find $\theta$

$11=45 \times \theta$

$\theta=\frac{11}{45}$ radian

$\theta$ in degree $=\frac{11}{45} \times \frac{180}{\pi}=\frac{44}{22 / 7}=14^{\circ}$

 

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now