Standing Waves Video Lessons

Concept

# Problem: The basic equation connecting wave speed v, wavelength? and frequency f isThe wave speed in a stretched string depends on the string's tension T and mass per unit length? (also called the "linear mass density") with the equation1. Derive a formula for linear mass density ? 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:

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

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###### Problem Details

The basic equation connecting wave speed v, wavelength? and frequency f is

The wave speed in a stretched string depends on the string's tension T and mass per unit length? (also called the "linear mass density") with the equation

1. Derive a formula for linear mass density ? 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)?

?=