# The period of free oscillations of a pendulum 10 m long with an increase in the amplitude of its oscillations

August 22, 2021 | education

| **The period of free oscillations of a pendulum 10 m long with an increase in the amplitude of its oscillations from 10 cm to 20 cm. A) doubles. b) will decrease by 2 times. c) will not change. d) will decrease by 4 times. e) will increase by 4 times.**

The period of free oscillations T of a mathematical pendulum is determined by the formula: T = 2 * P * √l / √g. Where P is the number pi equal to 3.14, l is the length of the mathematical pendulum, g is the acceleration of gravity.

The formula shows that the period of the mathematical pendulum T depends only on its length l and the acceleration of gravity g.

The period does not depend on the amplitude and mass of the load.

Answer: the period of the mathematical pendulum will not change.

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