Question

За 24 секунды маятник совершил 18 колебаний.Каковы период и частота колебаний маятника?

Answer 1

T=t/N=24/18=1,33 с
v=1/T=0,75 Гц

Answer 2

Calculation of Period and Frequency of a Pendulum

To calculate the period and frequency of a pendulum, we need to know the number of oscillations it completes in a given time interval. In this case, we are given that the pendulum completes 18 oscillations in 24 seconds.

Period is the time taken for one complete oscillation of the pendulum. It is denoted by the symbol T and is measured in seconds.

Frequency is the number of oscillations per unit time. It is denoted by the symbol f and is measured in hertz (Hz), which represents the number of oscillations per second.

To calculate the period, we divide the total time taken by the number of oscillations: ``` T = Total time / Number of oscillations ```

To calculate the frequency, we divide the number of oscillations by the total time: ``` f = Number of oscillations / Total time ```

Let's calculate the period and frequency of the pendulum using the given information.

Calculation:

Given: - Number of oscillations = 18 - Total time = 24 seconds

Using the formulas mentioned above, we can calculate the period and frequency as follows:

Period (T): ``` T = Total time / Number of oscillations T = 24 seconds / 18 oscillations T ≈ 1.333 seconds ```

Frequency (f): ``` f = Number of oscillations / Total time f = 18 oscillations / 24 seconds f ≈ 0.75 Hz ```

Therefore, the period of the pendulum is approximately 1.333 seconds, and the frequency is approximately 0.75 Hz.

Please note that these calculations assume that the pendulum's motion is simple harmonic and that there are no external factors affecting its oscillations.