What path will a mathematician take in 0.2 hours if the vibration amplitude is 40 mm and the vibration period is 0.5 s?

To find out the path traversed by the specified mathematical pendulum, we use the formula: S = n * S1 = t / T * 4A = 4A * t / T, where A is the amplitude of oscillations (A = 40 mm = 0.04 m); t is the duration of the oscillations (t = 0.2 h = 720 s); T – period (T = 0.5 s).

Let’s perform the calculation: S = 4A * t / T = 4 * 0.04 * 720 / 0.5 = 230.4 m.

Answer: In 0.2 hours, the indicated mathematical pendulum will cover a path of 230.4 m.