The sixth harmonic of a 70 cm long guitar string has a frequency of 557.14 hz. what is the velocity of sound in the guitar string?

The velocity of sound in the guitar string = 129.99 m/s

Explanation:

Harmonics: A harmonic is a note with frequency equal to an integral multiple of that of the fundamental frequency.

Note: The harmonics of a string is the same as the harmonics of an open pipe.

f₆ = 3v/l Equation 1

making v the subject of the equation,

v = f₆l/3 Equation 2

Where f₆ = Is the sixth harmonics of the the string, v = velocity of sound in the guitar string, l = length of the guitar string.

Given: f₆ = 557.14 Hz, l = 70 cm = 0.7 m.

Substituting into equation 2

v = (557.14×0.7)/3

v = 129.99 m/s

Thus the velocity of sound in the guitar string = 129.99 m/s

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

mass and volume are the answers you are looking for