What is the number of oscillations in 50 s for the mat by the pendulum installed at the equator?

What is the number of oscillations in 50 s for the mat by the pendulum installed at the equator? Pendulum length 48.9cm.

Initial data: t (duration of pendulum oscillations) = 50 s; l (length of the mathematical pendulum) = 48.9 cm (0.489 m).

Reference values: according to the condition g (gravitational acceleration at the equator) = 9.78 m / s2.

1) Determine the period of oscillation of the considered mathematical pendulum: T = 2Π * √ (l / g) = 2 * 3.14 * √ (0.489 / 9.78) = 1.4 s.

2) Let’s calculate the number of oscillations of the pendulum for a given time: n = t / T = 50 / 1.4 ≈ 36 oscillations.

Answer: The mathematical pendulum at the equator will make 36 oscillations.