Calculate the weight of US coins from coin counts or a dollar amount, such as $10 in pennies, or estimate how many coins are in a given weight.
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Coin Weight Formula
The following formula is used to calculate the weight of a jar or collection of coins.
W = P*2.5 + N*5 + d*2.268 + Q*5.670 + HD*11.340 + D*8.1
- Where W is the weight in grams
- P is the number of pennies
- N is the number of nickels
- d is the number of dimes
- Q is the number of quarters
- HD is the number of half dollars
- D is the number of dollar coins
Coin Weight Definition
A coin weight is the total weight of a collection of coins determined by the amount of each type of coin and their respective weights.
The weights of each coin are standardized by the US Mint and made to a specific tolerance.
US Coin Weights
The table lists nominal modern circulating-coin masses. Older silver coins and large dollars differ. Use the penny-type selector for the older 3.11 g copper small cent; it excludes 1943 steel cents and other early types.
| Coin | Weight (grams) |
| Penny | 2.5 g |
| Nickel | 5 g |
| Dime | 2.268 g |
| Quarter | 5.670 g |
| Half Dollar | 11.340 g |
| Dollar | 8.1 g (small dollar) |
Example Problem
How to calculate the weight of a jar of coins?
First, determine the numbers of each individual coin.
For this example, the coins are separated and counted. The results are as follows:
- Pennies: 20
- Nickels: 5
- Dimes: 4
- Quarters: 20
- Half Dollar: 10
- Dollar: 1
Next, enter the values into the formula above to calculate the coin weight:
W = P*2.5 + N*5 + d*2.268 + Q*5.670 + HD*11.340 + D*8.1
= 20*2.5+5*5+4*2.268+20*5.670 + 10*11.340+1*8.1
= 318.972 grams
To convert this into pounds, divide the result by 453.59237
= 318.972/453.59237
= 0.703213 lb
