Thank you, Dana. In other words, to double the length of a cylinder while conserving the volume we decrease the diameter by a third? I can picture it in my mind but would have severely fumbled the math.
A friend writes off-list of a 4" double bass string. "You have to Believe!" he adds. As for getting it through the bridge hole it should be quite easy: Stretch to the appropriate diameter and then cut it in the middle. Science really isn't as hard as it looks. Sean On Sep 23, 2007, at 11:30 AM, [EMAIL PROTECTED] wrote: > On Sun, Sep 23, 2007, Sean Smith <[EMAIL PROTECTED]> said: > >> Then I wondered: if you are stretching it to, say, 3 times its length >> then it must be purchased at 3x the diameter (the mass must remain >> constant, right?) How does one push that through the bridge hole? > > Mass must be conserved, but the mass of a cylindrical prism is the > product > of sectional area and length, so the sectional area will be thirded, > and > that will reduce the diameter (=2r) by the square root of 3 (~1.7). > > -- > Dana Emery > > To get on or off this list see list information at http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
