# For 5 seconds, a material point makes 10 harmonic vibrations. Find what the frequency and period

**For 5 seconds, a material point makes 10 harmonic vibrations. Find what the frequency and period of the oscillations are equal to.**

Given:

t = 5 seconds – time interval;

n = 10 – the number of harmonic vibrations that a material point makes during a time interval equal to t.

It is required to determine T (seconds) – oscillation period and v (Hertz) – oscillation frequency.

To determine the period of oscillation of a material point, you must use the following formula:

t = n * T, from here we find that:

T = t / n = 5/10 = 0.5 seconds.

Then, the frequency of oscillations of a material point will be equal to:

v = 1 / T = 1 / 0.5 = 2 Hertz.

Answer: the period of harmonic oscillations of a material point is 0.5 seconds, the oscillation frequency is 2 Hertz.