How will the oscillation period of a mathematical pendulum change if its length is increased by 4 times?
| March 9, 2021 | education
The oscillation period of a mathematical pendulum can be described by the formula:
T = 2Π * √ (l / g), where l is the length of the mathematical pendulum, g is the acceleration of gravity (constant).
The length of the thread of the mathematical pendulum was increased by 4 times (l1 = 4l):
T1 = 2Π * √ (l1 / g) = 2Π * √ (4l / g) = 2 * 2Π * √ (l / g) = 2T.
Answer: If the length of the thread of a mathematical pendulum is increased by 4 times, then the period of its oscillations will increase by 2 times.
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