The pendulum made 50 vibrations in 1 minute 40 seconds, find the period and frequency of the vibrations.

N = 50.

t = 1 min 40 s = 100 s.

T -?

v -?

The oscillation period T 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 = 100 s / 50 = 2 s.

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 = 50/100 s = 0.5 Hz.

The oscillation frequency v is related to the period T by the formula: v = 1 / T.

Answer: T = 2 s, v = 0.5 Hz.



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