The pendulum oscillates with a period of 0.5 s. Find the cyclical frequency of its vibrations.

The cyclic frequency of the pendulum can be calculated using the formula:
ω = 2Π / T, where T is the period of oscillation of the pendulum (T = 0.5 s).
Let’s calculate the cyclical frequency of the pendulum:
ω = 2Π / T = 2 * 3.14 / 0.5 = 12.56 rad / s.
Answer: The cyclical frequency of the pendulum is 12.56 rad / s.

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