The body made 300 vibrations in 1 minute, determine the period and purity of the vibrations.

To find the required period and frequency of oscillations of the body taken, we will use the formulas: T = t / n and ν = n / t.

Variables: t – duration of oscillations (t = 1 min = 60 s); n is the number of perfect vibrations (n = 300 vibrations).

Calculation: 1) T = t / n = 60/300 = 0.2 s;

2) ν = n / t = 300/60 = 5 Hz.

Answer: Oscillations of the taken body should occur with a frequency of 5 Hz and a period of 0.2 s.