A heavy ball is hung by a 5.0 m long string to construct a simple pendulum. It executes small oscillations. Determine the frequency if the setup is moved to the moon, where the acceleration due to lunar gravitation is 1.67 m/s ^2 .

Step-by-step solution

The frequency of a simple pendulum is given by the formula: f = 1 2 g' L Given the length of the pendulum L = 5.0 m and the acceleration due to gravity on the moon g' = 1.67 m/s ^2 . Approximating 1.67 m/s ^2 as 5 3 m/s ^2 and substituting the values: f = 1 2 5/3 5 f = 1 2 1 3 f = 1 2 3 Hz