An orchestra is practicing a piece that is to be played at an allegro tempo. The conductor sets a metronome at 160 beats per minute to keep everyone at the same pace. What is the period of a single beat?a. 6msb. 375msc. 60msd. 2.7ms

Respuesta :

To develop this problem it is necessary to apply the concepts related to the Frequency according to the Period. Frequency is the number of repetitions per unit of time of any periodic event. The period is the length of time of each repetitive event, so the period is the reciprocal of the frequency.

The frequency of the metronome in seconds would then be

[tex]f = 160 \frac{beats}{min} (\frac{1min}{60s})[/tex]

[tex]f = 2.67\frac{beats}{s}[/tex]

Since the frequency is inversely proportional to the period then

[tex]T = \frac{1}{f}[/tex]

[tex]T = \frac{1}{2.67}[/tex]

[tex]T = 0.375s = 375ms[/tex]

The correct answer is B. 375ms