Physics
Simple Harmonic Motion & Gravitation
Time period of a simple pendulum
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⚡ Quick Summary
The time period of a simple pendulum is affected by the effective acceleration due to gravity, which is influenced by Earth's rotation.
['t = 2π * sqrt(l/g)', "T' = m(g - ω^2R)"]
The time period of a simple pendulum is given by t = 2π * sqrt(l/g), where l is the length of the pendulum and g is the acceleration due to gravity. The effective acceleration due to gravity changes with latitude due to the Earth's rotation. At the equator, the effective gravity is reduced by ω^2R, where ω is the angular velocity of Earth's rotation and R is the radius of the Earth.