The mathematical pendulum made 100 complete oscillations in 50 seconds.
| September 19, 2021 | education
The mathematical pendulum made 100 complete oscillations in 50 seconds. Determine the period and frequency of oscillations of the pendulum.
N = 100.
t = 50 s.
T -?
v -?
The oscillation period T is the time of one complete oscillation. The oscillation period T is determined by the formula: T = t / N, where t is the oscillation time, N is the number of oscillations.
T = 50 s / 100 = 0.5 s.
The oscillation frequency v is the number of oscillations per unit of time. The oscillation frequency v is determined by the formula: v = N / t.
v = 100/50 s = 2 s-1 = 2 Hz.
The period is related to the frequency by the ratio: T = 1 / v.
Answer: the oscillation period is T = 0.5 s, the oscillation frequency is v = 2 Hz.
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.
