Ex 3.1, 7 - Find angle in radian though which pendulum swings - Arc length

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  1. Chapter 3 Class 11 Trigonometric Functions
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Ex 3.1, 7 Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length (i) 10 cm We know that 𝑙 = r θ Here, 𝑙 = Length of arc = 10 cm r = radius = Length of pendulum = 75 cm We need to find θ 𝑙 = r θ 10 = 75 × θ 10﷮75﷯ = θ θ = 10﷮75﷯ radian = 2﷮15﷯ radian Ex3.1, 7 Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length (ii) 15 cm We know that 𝑙 = r θ Here, 𝑙 = Length of arc = 15 cm r = radius = Length of pendulum = 75 cm We need to find θ 𝑙 = r θ 15 = 75 × θ 15﷮75﷯ = θ θ = 15﷮75﷯ radian = 1﷮5﷯ radian Ex3.1, 7 Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length (iii) 21 cm We know that 𝑙 = r θ Here, , 𝑙 = Length of arc = 21 cm r = radius = Length of pendulum = 75 cm We need to find θ 𝑙 = r θ 21 = 75 × θ 21﷮75﷯ = θ θ = 21﷮75﷯ radian = 7﷮25﷯ radian

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