The frequency of the string if it had an 8 loop standing wave pattern is determined as 13.4 Hz.
Relationship between number of loops and harmonics
The relationship between number of loops and harmonics of the standing wave is given as follows;
- 1 loop = first harmonic = f₁
- 2 loops = second harmonic = f₂ = 2f₁
- 3 loops = third harmonic = f₃ = 3f₁
- 4 loops = fourth harmonic = f₄ = 4f₁
- 8 loops = eight harmonic = f₈ = 8f₁
Frequency of the string if it had an 8 loops standing wave pattern
f₄ = 4f₁
f₁ = f₄/4
f₈ = 8f₁
f₈ = 8(f₄/4)
f₈ = 2f₄
f₈ = 2 x 6.7 Hz
f₈ = 13.4 Hz
Thus, the frequency of the string if it had an 8 loop standing wave pattern is determined as 13.4 Hz.
Learn more about frequency here: https://brainly.com/question/10728818
#SPJ1
