Initial data: N (the number of oscillations that the pendulum made) = 50 oscillations; t (the time during which the pendulum oscillated) = 1 min 40 s = 60 + 40 s = 100 s.
1) Calculate the oscillation period: T = t / N = 100/50 = 2 s.
2) Let’s calculate the vibration frequency: ν = 1 / T = 1/2 = 0.5 Hz.
Answer: The oscillation frequency of the pendulum is 0.5 Hz, and the oscillation period is 2 seconds.
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