Next  |  Prev  |  Up  |  Top  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

String Tension $ T$

$\displaystyle T = (2fL)^2\mu
= (2f)^2LM
= \pi\rho_s(Lfd_1)^2
$

where

\begin{eqnarray*}
f &=& \mbox{ note frequency } \in [A_2,C_5]=[27.5,4186] \mbox{ Hz}\\
\mu &=& \mbox{ linear mass density}\\
M &=& \mbox{ entire string mass}\\
\rho_s &=& \mbox{ density of steel core ($7860 \mbox{kg}/\mbox{m}^3$)}\\
\end{eqnarray*}


Next  |  Prev  |  Up  |  Top  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

Download PianoHammer.pdf
Download PianoHammer_2up.pdf
Download PianoHammer_4up.pdf

``Piano-Hammer Modeling'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2014-03-24 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA  [Automatic-links disclaimer]