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Thickness of final plating on U.S. Lincoln 2010 To Date Shield Cents
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<p>[QUOTE="Burton Strauss III, post: 2852052, member: 59677"]You are correct...</p><p><br /></p><p><br /></p><p>Per the Mint's specifications, the cent is 19.05mm in diameter (9.525mm radius) and 1.52mm thick (height) at the rim.</p><p><br /></p><p>It's never that simple</p><p><br /></p><p>The alloy is 97.5% Zn and 2.5% Cu.</p><ul> <li>Zinc has a density of 7.0861 g/cm^3</li> <li>Copper has a density of 8.9286 g/cm^3</li> </ul><p>An alloy of 97.5% Zn / 2.5% Cu (by mass) would have a density of 8.8808 g/cm^3. And a cylinder of 19.05mm x 1.52mm would weigh 3.847g.</p><p><br /></p><p>BUT the mint specification is 3.11gm (and we know most of the coin does not reach the height of the rim or it would not stack).</p><p><br /></p><p>Simple math gives us 3.11/3.847 is 80.83% or an AVERAGE (height) of 1.229mm.</p><p><br /></p><p>Then applying the volume of the cylinder formula (v = Pi * r^2 * h) gives us the volume of 350.3 mm^3</p><p><br /></p><p>The volume of the zinc core is that of a cylinder 20 microns smaller (9.505mm x 1.189mm - you subtract 20 microns from the radius, but 2x 20 microns from the height) gives 337.5 mm^3 and a weight of 3.00g.</p><p><br /></p><p>The volume of the plating is the subtraction of the two: 350.3 - 337.5 = 12.8 mm^3 or 0.11g.</p><p><br /></p><p>So the 20 micron thickness is basically proven.[/QUOTE]</p><p><br /></p>
[QUOTE="Burton Strauss III, post: 2852052, member: 59677"]You are correct... Per the Mint's specifications, the cent is 19.05mm in diameter (9.525mm radius) and 1.52mm thick (height) at the rim. It's never that simple The alloy is 97.5% Zn and 2.5% Cu. [LIST] [*]Zinc has a density of 7.0861 g/cm^3 [*]Copper has a density of 8.9286 g/cm^3 [/LIST] An alloy of 97.5% Zn / 2.5% Cu (by mass) would have a density of 8.8808 g/cm^3. And a cylinder of 19.05mm x 1.52mm would weigh 3.847g. BUT the mint specification is 3.11gm (and we know most of the coin does not reach the height of the rim or it would not stack). Simple math gives us 3.11/3.847 is 80.83% or an AVERAGE (height) of 1.229mm. Then applying the volume of the cylinder formula (v = Pi * r^2 * h) gives us the volume of 350.3 mm^3 The volume of the zinc core is that of a cylinder 20 microns smaller (9.505mm x 1.189mm - you subtract 20 microns from the radius, but 2x 20 microns from the height) gives 337.5 mm^3 and a weight of 3.00g. The volume of the plating is the subtraction of the two: 350.3 - 337.5 = 12.8 mm^3 or 0.11g. So the 20 micron thickness is basically proven.[/QUOTE]
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