The oscillation frequency of the mathematical pendulum is 0.5 Hz. Determine the length of the thread.

To calculate the value of the thread length of the presented mathematical pendulum, we apply the formula: ν = 1 / 2Π * √ (g / l), whence we express: g / l = ν ^ 2 * 4 * Π ^ 2 and l = g / (ν ^ 2 * 4 * Π ^ 2).

Constants and variables: g – gravitational acceleration (g = 9.81 m / s2); ν – vibration frequency (ν = 0.5 Hz).

Calculation: l = g / (ν2 * 4 * Π ^ 2) = 9.81 / (0.5 ^ 2 * 4 * 3.14 ^ 2) = 0.995 m.

Answer: The thread of the presented mathematical pendulum has a length of 0.995 m.