The pendulum 1.5 m long made 125 vibrations in 5 minutes. What is the acceleration of gravity?

Initial data: l (length of the pendulum) = 1.5 m; t (pendulum oscillation time) = 5 min; N (the number of oscillations of the pendulum in a given time) = 125 oscillations.

SI system: t = 5 min = 300 s.

1) Let us calculate the period of oscillation of the pendulum: T = t / N = 300/125 = 2.4 s.

2) We express and calculate the acceleration of gravity: T = 2Π * √ (l / g) and g = 4 * Π ^ 2 * l / T ^ 2 = 4 * 3.14 ^ 2 * 1.5 / 2.4 ^ 2 = 10.27 m / s2.

Answer: The acceleration due to gravity is 10.27 m / s2.