The pendulum made 50 vibrations in 25 s. Determine the period and frequency of oscillation of the pendulum.
April 27, 2021 | education
| t = 25 s.
N = 50.
v -?
T -?
The frequency of oscillations v of the pendulum is the number of oscillations per unit of time. The oscillation frequency v is determined by the formula: v = N / t.
v = 50/25 s = 2 s-1 = 2 Hz.
The period of oscillation T of the pendulum is the time of one complete oscillation. The oscillation period T is determined by the formula: T = t / N, where N is the number of oscillations, t is the time during which the oscillations were completed.
T = 25 s / 50 = 0.5 s.
The oscillation period T is related to the frequency v by the formula: T = 1 / v.
Answer: oscillation frequency v = 2 Hz, period T = 0.5 s.
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