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Question
Select the correct option from the given alternatives :
A pendulum of 14 cm long oscillates through an angle of 12°, then the angle of the path described by its extremities is
Options
`(13pi)/14`
`(14pi)/13`
`(15pi)/14`
`(14pi)/15`
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Solution
A pendulum of 14 cm long oscillates through an angle of 12°, then the angle of the path described by its extremities is `(14pi)/15`
Explanation:
Lenght of pendulum = 14 cm
r = 14 cm
θ = 12°
= `(12 xx π/180)^"c"`
= `(2 xx π/30)^"c"`
θ = `(π/15)^"c"`
s = r × θ
= `14 xx (π/15)`
= `(14π)/15`
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