Determine the mass of the spring pendulum, if it is known that it oscillates

Determine the mass of the spring pendulum, if it is known that it oscillates with an oscillation period of 3 s, on a spring with a stiffness of 250 N / m.

Problem data: T (period with which the spring pendulum oscillates) = 3 s; k (spring rate of the pendulum) = 250 N / m.

We express the mass of the spring taken pendulum from the formula for calculating the oscillation period: T = 2 * Π * √ (m / k), whence m / k = T ^ 2 / (4 * Π ^ 2) and m = T ^ 2 * k / (4 * Π ^ 2).

Calculation: m = 3 ^ 2 * 250 / (4 * 3.14 ^ 2) ≈ 57 kg.

Answer: The taken spring pendulum has a mass of 57 kilograms.