Period of a pendulum A standard pendulum of length L that swings under the influence of gravity alone (no resistance) has a period of T = 4 (/2 dọ w Jo Vi- k sin²o where o = g/L, k? = sin² (8,/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, = 7/4 rad. %3D

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Period of a pendulum A standard pendulum of length L that
swings under the influence of gravity alone (no resistance) has a
period of
T =
4 (/2
dọ
w Jo Vi- k sin²o
where o = g/L, k? = sin² (8,/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, = 7/4 rad.
%3D
Transcribed Image Text:Period of a pendulum A standard pendulum of length L that swings under the influence of gravity alone (no resistance) has a period of T = 4 (/2 dọ w Jo Vi- k sin²o where o = g/L, k? = sin² (8,/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, = 7/4 rad. %3D
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