Question

The formant frequencies of speech are also influenced by the density of the propagating medium. The human vocal tract is approximately 17 cm long. What is the first and second formants of this voice

Answer 1

486.76 Hz ; 1460.29 Hz

Step-by-step explanation:

Given that :

Length of vocal tract = 17cm

Velocity of sound in air = 331 m/s

The first and second formants of the voice ;

First formants :

F1 = V / 4L

V in m/s ; L in m

F1 = (331 m/s) / (4 * 17/100 m)

F1 = (331 m/s) / 0.68 m)

F1 = 486.76470 Hz

F1 = 486.76 Hz

Second Formants :

F2 = 3V / 4L

V in m/s ; L in m

F2 = (3 * 331 m/s) / (4 * 17/100 m)

F2 = (3 * 331 m/s) / 0.68 m)

F2 = 993 m/s / 0.68 m

F2 = 1460.2941 Hz

F2 = 1460.29 Hz