# The length of the mathematical pendulum was increased 4 times. How has the period and frequency of its fluctuations changed?

May 27, 2020 | Education

| The oscillation period of the mathematical pendulum is as follows:

T = 2 * pi * √ (l / g). Since l2 = 4 * l1, then T2 = T1 * √ (l2 / l1) = T1 * √ (4 * l1 / l1) = 2 * T1.

Since v = 1 / T, then v2 = 1 / T2 = 1 / (T1 * 2) = v1 / 2.

Answer: the period increased by 2 times, the frequency decreased by 2 times.

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.