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


(i) Given: l = 10cm (length of arc) and r = 75cm(radius of circle)


We know that θ = (here, θ is angle subtended by arc)


θ = = radians


The angle by which the pendulum of length 75 cm swings if it describes an arc of 21 cm is radians.


(ii) Given: l = 15cm (length of arc) and r = 75cm(radius of circle)


We know that θ = (here, θ is angle subtended by arc)


θ = = radians.


The angle by which the pendulum of length 75 cm swings if it describes an arc of 21 cm is radians.


(iii) Given: l = 21 cm (length of arc) and r = 75 cm (radius of circle)


We know that θ = (here, θ is angle subtended by arc)


θ = = radians


The angle by which the pendulum of length 75 cm swings if it describes an arc of 21 cm is radians.


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