How many oscillations does a mathematical pendulum make in 30 seconds if its oscillation frequency is 2 Hz? What is the period of its fluctuations?
Data: t (duration of pendulum oscillations) = 30 s; ν (vibration frequency) = 2 Hz.
1) The number of oscillations in 30 s: n = t * ν = 30 * 2 = 60 complete oscillations.
2) Oscillation period: T = 1 / ν = 1/2 = 0.5 s.
Check: T = t / n = 30/60 = 0.5 s (correct).
Answer: The oscillation period is 0.5 s; in 30 seconds a given mathematical pendulum had to make 60 oscillations.
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