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Answer :
The length of the pendulum is approximately 2.38 meters.
The formula for the period of a simple harmonic motion is:
T = 2π √(l/g)
where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity.
Given that T = 3.1s and g = 9.81 m/s², we can rearrange the formula to solve for l:
l = (T/2π)² * g
l = (3.1/2π)² * 9.81
l = (0.49238)² * 9.81
l = 0.24239 * 9.81
l = 2.38
Therefore, the length of the pendulum is approximately 2.38 meters.
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