How many oscillations did a mathematical pendulum perform in 30 s if its oscillation frequency is 2 Hz?

How many oscillations did a mathematical pendulum perform in 30 s if its oscillation frequency is 2 Hz? What is the period of its oscillations?

The oscillation period is such a period of time during which the body returns to the same point from which it began its movement.
The oscillation period depends on the frequency according to the law:
T = 1 / ν
Substituting the data, we find the oscillation period:
T = 1 / ν = 1/2 = 0.5 s.
T = t / n, where n is the number of oscillations, t is the time during which the body made these oscillations.
Let’s express the number of fluctuations, substitute the data and calculate:
n = t / T = 30 / 0.5 = 60
Answer: the pendulum made 60 swings with a period of 0.5 s.



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