Period of a pendulum A standard pendulum of length L swinging under only the influence of gravity (no resistance) has a period of where ?2 = g/L, k2 = sin2 (?0/2), g ? 9.8 m/s2 is the acceleration due to gravity, and ?0 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 ?0 =?/4 rad.

Problem 48EPeriod of a pendulum A standard pendulum of length L swinging under only the influence of gravity (no resistance) has a period of where , , g 9.8 is the acceleration due to gravity, and 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 (rad)SolutionStep 1In this problem we have to use numerical integration to approximate the period of a pendulum with L = 1 m that is released from an angle of (rad)Given We have , , g 9.8 , L = 1 m, (rad)Thus