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Fofino [41]
4 years ago
9

Derive a formula for linear mass density μ in terms of the wave speed v and string tension T, and enter it below. Assume you ha

ve the following experimental results: L = 0.864m f1 = 24.03Hz T = 5.24 N
What is the linear mass density of the string (without uncertainty, units requred)?
Physics
1 answer:
GenaCL600 [577]4 years ago
7 0

Answer:

Explanation:

Given

Length L=0.864\ m

frequency f=24.03\ Hz

Tension in the string T=5.24\ N

Wave speed in a string is given by

v=\sqrt{\frac{T}{\mu }}

where v=wave\ speed

T=tension

\mu =linear\ mass\ density

\mu =\frac{T}{v^2}

wavelength for this wave \lambda=2L=2\times 0.864=1.728\ m

and v=f\times \lambda

v=24.03\times 1.728

v=41.52\ m/s

\mu =\frac{T}{v^2}

\mu =\frac{5.24}{41.52^2}

\mu =3.04\times 10^{-3}\ kg/m

   

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