# Problem: 1. Derive a formula for linear mass density μ in terms of the wave speed v and string tension T.Assume you have the following intermediate (i.e., significant figures may be incorrectly stated) experimental results :L =0.812 ? 0.019 mf1 =29.02 ? 1.45 HzT =5.08 N (exact)2. What is the linear mass density of the string (without uncertainty, units requred)?

###### FREE Expert Solution

1.

The wave velocity can also be expressed as:

$\overline{){\mathbf{v}}{\mathbf{=}}\sqrt{\frac{\mathbf{T}}{\mathbit{\mu }}}}$

###### Problem Details

1. Derive a formula for linear mass density μ in terms of the wave speed v and string tension T.

Assume you have the following intermediate (i.e., significant figures may be incorrectly stated) experimental results :

 L = 0.812 ? 0.019 m f1 = 29.02 ? 1.45 Hz T = 5.08 N (exact)

2. What is the linear mass density of the string (without uncertainty, units requred)?