The mathematical pendulum made 100 oscillations in 314 s, which is equal to the length of the pendulum.
| December 9, 2020 | education
Given: N = 100.
t = 314 s.
g = 9.8 m / s2.
Find: l -?
The period of the mathematical pendulum T is determined by another formula: T = 2 * п * √l / √g, where п is the number п, l is the length of the pendulum, g is the acceleration of gravity.
T2 = 4 * п2 * l / g.
From here we can express the length of the pendulum:
l = g * T2 / 4 * п2.
l = 9.8 m / s2 * (3.14 s) 2/4 * (3.14) 2 = 2.45 m.
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