Question

A pendulum swings through an angle of 30° and describes an arc 8.8 cm in length. Find the length of the pendulum.

Answer 1

Given:
Length of the arc  = 8.8 cm

And,

θ = 30° 

Now,

Length of the arc` = (2pi"r"theta)/360`

`=> 8.8 =(2xx22/7xx"r"xx360)/(360)`

`=>"r" = (8.8xx360xx7)/(44xx30)`

∴ r = 16.8 cm

 Length of the pendulum = 16.8 cm