The frequency of a source of sound is 50 Hz. How many times does it vibrate in a minute?

Given,

Frequency of sound,$\mathrm{f} = 50 \mathrm{Hz}$

Total time, $\mathrm{t} = 1 \min = 60 \mathrm{s}$

Frequency is defined as the number of oscillations per second.

$\mathrm{f} =\frac{\mathrm{n}}{\mathrm{t}}$

From this we get,

Number of oscillations, $\mathrm{n} = \mathrm{f} \times \mathrm{t}$

Substituting the values,

$\mathrm{n} =50 \times 60 = 3000 \mathrm{times}$

Hence, the source vibrates $3000$ times in a minute, producing a frequency of $50 \mathrm{Hz}$ .