A guitar string has a tension of 95 N on it and is 75 cm long.If its mass is 0.27 g,what is the frequency of the first harmonic above the fundamental?
A) 685 Hz
B) 69 Hz
C) 217 Hz
D) 470 kHz

Question

Quizplus · Accepted Answer

The frequency of the first harmonic (fundamental frequency) can be calculated using the formula: f = (1/2L) * sqrt(T/μ), where L is the length of the string, T is the tension, and μ is the linear mass density (mass per unit length). Converting the mass to kg (0.27 g = 0.00027 kg) and length to meters (75 cm = 0.75 m), μ = 0.00027 kg / 0.75 m = 0.00036 kg/m. Plugging in the values: f = (1/2*0.75) * sqrt(95/0.00036) ≈ 685 Hz.

A Guitar String Has a Tension of 95 N on It