Pendulum frequency on the surface of the moon = 0.5 Hz g (on the surface of the moon) = 1.6 m / s2

Pendulum frequency on the surface of the moon = 0.5 Hz g (on the surface of the moon) = 1.6 m / s2 Find the length of a mathematical pendulum.

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

Variables: gl – acceleration of gravity on the Moon (according to the condition gl = 1.6 m / s); ν – vibration frequency (ν = 0.5 Hz).

Calculation: l = gl / (ν ^ 2 * 4 * Π ^ 2) = 1.6 / (0.52 * 4 * 3.14 ^ 2) = 0.162 m.

Answer: The length of the presented mathematical pendulum is 0.162 m.