A standard pendulum of length L swinging under only the influence of gravity (no resistance) has a period of where 2 g L, k 2 sin 2 ( 0 2), g 9 8 m s 2 is the acceleration due to gravity, and 0 is the initial angle from which the pendulum is released (in radians) Use numerical integration to approx...

A standard pendulum of length L swinging under only the influence of gravity (no resistance) has a

Question:

A standard pendulum of length L swinging under only the influence of gravity (no resistance) has a period of

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where ω² = g/L, k² = sin² (θ₀/2), g ≈ 9.8 m/s² is the acceleration due to gravity, and θ₀ is the initial angle from which the pendulum is released (in radians). Use numerical integration to approximate the period of a pendulum with L = 1 m that is released from an angle of θ₀ = π/4 rad.