How many times will the period of oscillation of a mathematical pendulum change if the length

How many times will the period of oscillation of a mathematical pendulum change if the length of the thread is increased 16 times?

To determine the change in the oscillation period of the specified mathematical pendulum, we use the ratio: n = Тк / Тн = 2 * Π * √ (lк / g) / 2 * Π * √ (lн / g) = √ (lк / g) / √ (lн / g) = √ (lc / ln).

Variable relations: lk (final thread length) = 16ln (initial thread length).

Let’s calculate: n = √ (lc / ln) = √ (16ln / ln) = √16 = 4 p.

Answer: The oscillation period of the indicated mathematical pendulum will increase by 4 times.