Density of a Quarter in g/cm³

Density Formula:

\[ \rho = \frac{m}{V} \]

Density (g/cm³):

Definition: This calculator computes the density of a U.S. quarter (cupronickel) using its mass and volume.

Purpose: It helps understand material properties of coins and demonstrates density calculations.

The calculator uses the formula:

\[ \rho = \frac{m}{V} \]

Where:

Explanation: The mass is divided by volume to calculate density, with typical quarter values pre-filled.

Details: Understanding coin density helps in material analysis, authenticity verification, and physics education.

Tips: Enter the mass in grams (default 5.67g for a quarter) and volume in cm³ (default 0.636cm³). All values must be > 0.

Q1: What's the standard density of a quarter?
A: About 8.92 g/cm³ (similar to copper, its main component).

Q2: How is a quarter's volume measured?
A: Typically calculated from diameter and thickness using cylinder volume formula.

Q3: Why does density matter for coins?
A: It's a key physical property affecting durability, feel, and counterfeit detection.

Q4: What materials make up a quarter?
A: Modern U.S. quarters are cupronickel (91.67% Cu, 8.33% Ni).

Q5: How accurate is this calculation?
A: Very accurate if precise mass and volume measurements are used.