Find the length of a mathematical pendulum that makes 30 oscillations in 20 seconds.
| June 19, 2021 | education
t = 20 s.
N = 30.
g = 10 m / s2.
L -?
The period of oscillation of any pendulum T is the time of one complete oscillation. The oscillation period of the pendulum T is determined by the formula: T = t / N, where t is the time during which the pendulum performs N complete oscillations.
T = t / N.
The period of the mathematical pendulum T is expressed by another formula: T = 2 * п * √L / √g, where п is the number pi, which is 3.14, L is the length of the thread of the mathematical pendulum, g is the acceleration of gravity.
t / N = 2 * п * √L / √g.
√L = t * √g / N * 2 * P.
L = t ^ 2 * g / N ^ 2 * 4 * P ^ 2.
L = (20 s) ^ 2 * 10 m / s2 / (30) ^ 2 * 4 * (3.14) ^ 2 = 0.11 m.
Answer: the mathematical pendulum has a length L = 0.11 m.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
