Wire Weight Calculator

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Wire Weight Calculator

Copper (8.96 g/cm³) Aluminum (2.70 g/cm³) Steel, Carbon (7.85 g/cm³) Stainless Steel 304 (7.90 g/cm³) Nichrome (8.40 g/cm³) Brass (8.73 g/cm³) Gold (19.32 g/cm³) Silver (10.49 g/cm³) Titanium (4.50 g/cm³)
AWG (American Wire Gauge) Diameter (mm) Diameter (inches)
Feet Meters Inches cm
Total Weight 0.00 lbs
Weight in Kilograms: 0.00 kg
Weight in Grams: 0.00 g
Calculated Diameter: 0.00 mm
Total Volume: 0.00 cm³

Calculating Wire Weight: Logic and Formulas

Understanding the weight of wire is crucial for logistics, structural engineering, and cost estimation (especially for scrap metal valuation). This calculator determines the mass of a round wire based on its material density, dimensions, and length.

The Calculation Formula

The weight of a wire is derived from its volume multiplied by the density of the material. Since wire is essentially a long cylinder, we use the cylindrical volume formula:

Weight = (π × r² × L) × Density

  • r: Radius of the wire (half of the diameter).
  • L: Total length of the wire.
  • Density: The mass per unit of volume (e.g., g/cm³) specific to the material.

Step 1: Determine Diameter

If you are using AWG (American Wire Gauge), the diameter is calculated using the following logarithmic formula:

Diameter (mm) = 0.127 × 92(36 – AWG) / 39

As the AWG number increases, the wire diameter decreases. For example, AWG 0 is much thicker than AWG 24.

Step 2: Calculate Volume

Once the diameter is converted to a uniform unit (typically centimeters for density calculations), the cross-sectional area (πr²) is multiplied by the length.

Step 3: Apply Material Density

Different metals have vastly different densities. For instance, Gold is over twice as heavy as Copper for the same volume, while Aluminum is roughly 30% the weight of Copper.

Common Wire Material Densities

Material Density (g/cm³) Density (lbs/in³)
Copper 8.96 0.324
Aluminum 2.70 0.098
Steel (Carbon) 7.85 0.284
Stainless Steel (304) 7.90 0.285
Silver 10.49 0.379

Why Calculate Wire Weight?

  • Shipping & Logistics: Large spools of copper or steel cable can weigh thousands of pounds. Accurate calculation is vital for freight limits.
  • Scrap Value: Copper wire is a valuable commodity. Knowing the exact weight of stripped wire helps in estimating the payout at a recycling center.
  • Electrical Engineering: Heavier wires require sturdier supports, conduits, and cable trays.
function toggleInputs() { var type = document.getElementById('measurementType').value; var label = document.getElementById('sizeLabel'); var input = document.getElementById('wireSize'); if (type === 'awg') { label.textContent = "AWG Size (e.g., 12, 14, 24)"; input.placeholder = "Enter AWG number"; } else if (type === 'mm') { label.textContent = "Diameter (millimeters)"; input.placeholder = "Enter diameter in mm"; } else if (type === 'inch') { label.textContent = "Diameter (inches)"; input.placeholder = "Enter diameter in inches"; } } function calculateWireWeight() { // 1. Get Inputs var density = parseFloat(document.getElementById('wireMaterial').value); var measureType = document.getElementById('measurementType').value; var sizeVal = parseFloat(document.getElementById('wireSize').value); var lengthVal = parseFloat(document.getElementById('wireLength').value); var lengthUnit = document.getElementById('lengthUnit').value; var quantity = parseFloat(document.getElementById('wireQuantity').value); // Validation if (isNaN(sizeVal) || isNaN(lengthVal) || isNaN(quantity)) { alert("Please enter valid numbers for size, length, and quantity."); return; } if (sizeVal < 0 || lengthVal < 0 || quantity < 0) { alert("Values must be positive numbers."); return; } // 2. Normalize Diameter to Centimeters (cm) var diameterCm = 0; var displayDiameterMm = 0; if (measureType === 'awg') { // Formula: D(mm) = 0.127 * 92^((36-AWG)/39) // Note: This formula is for solid round wire. // Handle specific cases for 00, 000, 0000 if needed, but standard number input treats 0 as 0. // Negative numbers in AWG usually represent 00 (-1), 000 (-2) etc, but simple calc uses mathematical int. // Standard formula handles negatives mathematically correctly for 00 etc if input as such. var diameterMm = 0.127 * Math.pow(92, (36 – sizeVal) / 39); displayDiameterMm = diameterMm; diameterCm = diameterMm / 10; } else if (measureType === 'mm') { displayDiameterMm = sizeVal; diameterCm = sizeVal / 10; } else if (measureType === 'inch') { displayDiameterMm = sizeVal * 25.4; diameterCm = sizeVal * 2.54; } // 3. Normalize Length to Centimeters (cm) var lengthCm = 0; if (lengthUnit === 'meters') { lengthCm = lengthVal * 100; } else if (lengthUnit === 'feet') { lengthCm = lengthVal * 30.48; } else if (lengthUnit === 'inches') { lengthCm = lengthVal * 2.54; } else if (lengthUnit === 'cm') { lengthCm = lengthVal; } // 4. Calculate Volume (Cylinder: pi * r^2 * h) var radiusCm = diameterCm / 2; var volumeCm3 = Math.PI * Math.pow(radiusCm, 2) * lengthCm; // Apply quantity volumeCm3 = volumeCm3 * quantity; // 5. Calculate Weight (Mass = Volume * Density) // Density is in g/cm³ var weightGrams = volumeCm3 * density; // 6. Conversions var weightKg = weightGrams / 1000; var weightLbs = weightGrams * 0.00220462; // 7. Display Results document.getElementById('results-area').style.display = 'block'; // Formatting with commas for readability document.getElementById('res-weight-lbs').textContent = weightLbs.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}) + " lbs"; document.getElementById('res-weight-kg').textContent = weightKg.toLocaleString(undefined, {minimumFractionDigits: 3, maximumFractionDigits: 3}) + " kg"; document.getElementById('res-weight-g').textContent = weightGrams.toLocaleString(undefined, {minimumFractionDigits: 1, maximumFractionDigits: 1}) + " g"; document.getElementById('res-diameter').textContent = displayDiameterMm.toFixed(4) + " mm"; document.getElementById('res-volume').textContent = volumeCm3.toFixed(2) + " cm³"; } function updateDensityDisplay() { // Optional: Could update UI to show selected density, but the dropdown shows it already. }

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