What is the mathematical relationship between the length of the pendulum and the period?
| August 1, 2021 | education
For small oscillations of a physical pendulum (that is, occurring at the maximum angles (a) of the pendulum’s deflection less than 40 ° (а ‹π / 5)), the formula is valid, with the help of which it is possible to determine the period of its oscillations, knowing only one variable – the length of the pendulum.
It looks like this: Τ = 2π √ L / g,
where L is the length of the pendulum, g is the acceleration of gravity.
That is, the relationship between the length of the pendulum and the period of its oscillations is
directly proportional: the longer the length, the longer the period, and vice versa.
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