Determine the period and frequency of oscillations of a material point that has made 50 complete oscillations in 20 s.

We write down a short record of the condition.

Given:

n = 50 (total number of vibrations);

t = 20 s. (the time during which the given number of oscillations was made).

T -? (oscillation period).

υ -? (vibration frequency).

Solution:

To calculate the oscillation period, we apply the following formula:

T = t / n;

The period is the ratio of time to the number of oscillations during this time.

Substitute the values and get:

T = 20/50 = 0.4 s.

Frequency opposite to the period:

υ = 1 / T;

Substitute the values and find:

u = 1 / 0.4 = 2.5 Hz.