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Replies: 11 / Views: 1,773 |
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Pillar of the Community
 Canada
2360 Posts |
Looks like a good percentage of the coin missing. Can you estimate the percentage missing?  
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Pillar of the Community
United States
1699 Posts |
I would estimate 10% missing. In my experience it's usually less than I originally think. If you have an accuarate scale you could get the percentage by weight.
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Pillar of the Community
  Canada
2360 Posts |
 So looking at Coins and Canada, the weight should be 2.5 grams. (2.5-2.3)/2.5 x 100 = 8% Not bad. Thanks for that Errorcoins222. Let me know if there are any math errors.
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Pillar of the Community
Canada
9158 Posts |
Nice one , how did you come by it?
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Pillar of the Community
Canada
870 Posts |
Nice clip! Tough year year to find too. I only have one 1982 1 cent clip and yours is way nicer. Good find.
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Pillar of the Community
  Canada
2360 Posts |
Quote: Nice one , how did you come by it? mcshilling - Colonial Acres Unique Deals - thumbnail photo showed the size of the clip and I thought that it was a big clip so I jumped. Quote: Nice clip! Tough year year to find too. I only have one 1982 1 cent clip and yours is way nicer. Good find. Thanks robmck1967 I thought for $10 I could not go wrong.
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Pillar of the Community
United States
4233 Posts |
Another way to estimate would be to calculate the relative area. 19.1 mm is the diameter, so (pi)(r)^2 = (3.14)(19.1/2)^2 = 287 square mm total area of coin. Area of football-shaped clip is trickier. I just used formula for area of an ellipse. (pi)(A)(B) where A and B are half the height and width of the ellipse. See below. I drew lines in the image, put a ruler on my computer screen, and measured the relative distances. Overall diameter 9 inches, total height of clip = 1.75 inches, total width of clip = 5.5 inches. 1.75/9*19.1mm = 3.71mm, divided by 2 = 1.85mm = A. 5.5/9*19.1mm = 11.2mm, divided by 2 = 5.6mm = B. (pi)(1.85)(5.6) = 32.5 square mm, area of clip. 32.5/287 = 11%. So by my rough calculation, the clip is 11%. The "football" area would be slightly smaller than a true ellipse, so it's probably more like 10%. Yes, too much time on my hands, but taking a lunch break from mowing the lawn. 
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Pillar of the Community
 Canada
5585 Posts |
I think that weight is the way to do. The rim of the clip (weight wise) is a greater percentage of the clip than the weight of the rim to the total weight of the coin. I think that it's les than 10%
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Pillar of the Community
  Canada
2360 Posts |
Thanks kbbpll, your analysis is excellent, we used to use trapazoid areas for profile estimates in oil traps. Volume of an upside down dome. I can see that this would be good for a perfectly round coin as your arc suggests, but the 1982 cent was 12 sided and this may decrease the area clipped under your football shaped area assumptions.
I agree Okie, the size of the rim is thick and thus would contribute more to the weight of the clipped portion, skewing the percentage. The coin has had 8% of its mass/weight removed prior to striking, what percentage of the volume of the coin is missing may be a different number, pushing 11% as kbbpll suggests. It's a big clip.
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Pillar of the Community
United States
4233 Posts |
Area of a circular segment ( https://en.wikipedia.org/wiki/Circular_segment) times 2 would be the way to do it, for a round coin, but you'd have to know the angle from the center to the clip edges. Too much for my old brain. Probably pretty simple trigonometry since we know (roughly) two sides of a right triangle. Toss in 12-sided and maybe we need a PhD in math. And is the interior of the clip round or also 12-sided? Very cool coin, SilverDon.
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Pillar of the Community
Canada
1018 Posts |
Nice large clip SilverDon , I have quite a few clips but I don't have a 1982.
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Pillar of the Community
  Canada
2360 Posts |
Thanks Denny, didn't know 1982 was a tough clip to find until mentioned by you and robmck1967. Looks like some shearing on the clip edge. How much fun can you have with a clipped cent.  
Edited by SilverDon 05/13/2017 9:53 pm
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Replies: 11 / Views: 1,773 |
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