What is the length of a mathematical pendulum that makes 4 complete oscillations in 8 seconds?
| March 1, 2021 | education
N = 4.
g = 10 m / s2.
t = 8 s.
l -?
T = 2 * P * √l / √g.
T = t / N.
2 * P * √l / √g = t / N.
√l = √g * t / N * 2 * P.
l = g * t ^ 2 / N ^ 2 * 4 * P ^ 2.
l = 10 m / s2 * (8 s) ^ 2 / (4) ^ 2 * 4 * (3.14) ^ 2 = 1 m.
Answer: the mathematical pendulum has a length of l = 1 m.
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