# How many oscillations will the pendulum make in 40 seconds if the length is 3.6m?

March 25, 2021 | education

| To find the required number of oscillations made by the taken pendulum, we use the equality: 2Π * √ (l / g) = T = t / n, whence we express: n = t / (2Π * √ (l / g)).

Values of variables and constants: t – time of oscillation of the pendulum (t = 40 s); l is the length of the pendulum (l = 3.6 m); g – acceleration due to gravity (g ≈ 10 m / s).

Calculation: n = t / (2Π * √ (l / g)) = 40 / (2 * 3.14 * √ (3.6 / 10)) ≈ 10.62 oscillations.

Answer: In 40 seconds, the taken pendulum must make 10.62 oscillations.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.