What should be the length of a mathematical pendulum for the period of its oscillations to be equal to 1 s?
| September 20, 2021 | education
The oscillation period of a mathematical pendulum can be calculated using the formula:
T = 2Π * √ (l / g), where T is the period of oscillation of the pendulum (T = 1 s), l is the length of the mathematical pendulum, g is the acceleration of gravity (g = 10 m / s2).
Let us express and calculate the length of the mathematical pendulum:
T = 2Π * √ (l / g).
T2 = 22 * Π2 * l / g.
l = T2 * g / 4Π2 = 12 * 10 / (4 * 3.142) = 0.25 m.
Answer: The length of the mathematical pendulum should be 0.25 m.
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