Question

The D-string on a guitar has a linear mass density of 2.5 × 10⁻³ kg/m and an oscillating length of 0.64 m. It is stretched at a tension of 81.1 N. show answer No Attempt 33%.

The guitarist plucks the D-string. At what speed, in meters per second, does the pulse travel along the string?

Answer 1

The speed of the pulse traveling along the D-string of a guitar, with a linear mass density of 2.5 × 10⁻³ kg/m and under a tension of 81.1 N, is approximately 180.1 meters per second.

Step-by-step explanation:

To find the speed at which the pulse travels along the D-string of a guitar, we can use the formula for the wave speed on a string, which is v = √(T/μ), where T is the tension in the string and μ is the linear mass density of the string. Given the linear mass density of the D-string is 2.5 × 10⁻³ kg/m and the tension is 81.1 N, we can calculate the speed as follows:

v = √(T/μ)
v = √(81.1 N / (2.5 × 10⁻³ kg/m))
v = √(32440 m²/s²)
v ≈ 180.1 m/s

Therefore, the speed at which the pulse travels along the D-string is approximately 180.1 meters per second.