How many oscillations does a mathematical pendulum 4.9 m long make in 5 minutes.

The number of oscillations of a mathematical pendulum can be calculated using the formula:
n = t / T, where t is the oscillation time (t = 5 min = 5 * 60 s = 300 s), T is the oscillation period (s).
T = 2Π * √ (l / g), where l is the length of the pendulum (l = 4.9 m), g is the acceleration of gravity (we take g = 10 m / s ^ 2).
Let’s calculate the number of oscillations of a mathematical pendulum:
n = t / T = t / (2Π * √ (l / g)) = 300 / (2 * 3.14 * √ (4.9 / 10) = 300 / (2 * 3.14 * 0.7) ≈ 68.
Answer: The mathematical pendulum will make 68 oscillations.