# Determine the period and frequency of oscillations of the thread pendulum if its length is 10 m.

September 14, 2021 | education

| g = 9.8 m / s2.

l = 10 m.

T -?

v -?

The period T of a string or mathematical pendulum is determined by the formula: T = 2 * P * √l / √g, where P is the number pi, l is the length of the pendulum, g is the acceleration of gravity.

T = 2 * 3.14 * √10 m / √9.8 m / s2 = 6.3 s.

The oscillation frequency v is the reciprocal of the period T: v = 1 / T.

v = 1 / 6.3 s = 0.16 Hz.

Answer: T = 6.3 s, v = 0.16 Hz.

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