Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length (i) 10 cm (ii) 15 cm (iii) 21 cm

Explanation

i) Length of swing be `theta`.
then `theta=l/r rArr theta=10/75` radian =`2/15` radian Ans.
ii) Length of pendulum( r)=75 cm
Length of arc formed by the tip of pendulum
(l)=15 cm
Length angle of swing be `theta`.
then `theta=l/r rArr theta=15/75 = 1/5` radian
Therefore, angle formed by pendulum `=1/5` radian. Ans
iii) Length of pendulum (r) = 75 cm,
Length of arc formed by the tip of pendulum (l) =21 cm
Let angle swing be `theta`.
then `theta=l/r rArr theta=21/75 = 7/25` radian
Therefore, angle formed by pendulum `=7/25` radian. Ans.