Coin Weight Calculator

Formula

To calculate the Coin Weight (W):

\[ W = P \times 2.5 + N \times 5 + d \times 2.268 + Q \times 5.670 + HD \times 11.340 + D \times 81 \]

Where:

\(W\) is the Coin Weight (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

What is Coin Weight?

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.

Example Calculation

Let's assume the following values:

Number of Pennies (\(P\)) = 100
Number of Nickels (\(N\)) = 50
Number of Dimes (\(d\)) = 75
Number of Quarters (\(Q\)) = 30
Number of Half Dollars (\(HD\)) = 20
Number of Dollar Coins (\(D\)) = 10

Using the formula:

\[ W = 100 \times 2.5 + 50 \times 5 + 75 \times 2.268 + 30 \times 5.670 + 20 \times 11.340 + 10 \times 81 = 1168.85 \text{ grams} \]

The Coin Weight is 1168.85 grams.