How to Calculate Arrow Weight

How to Calculate Arrow Weight – Archery & Bowhunting Guide :root { –primary-color: #004a99; –success-color: #28a745; –background-color: #f8f9fa; –text-color: #333; –border-color: #ccc; –card-background: #ffffff; –shadow: 0 2px 10px rgba(0,0,0,0.1); } body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; line-height: 1.6; background-color: var(–background-color); color: var(–text-color); margin: 0; padding: 0; display: flex; justify-content: center; padding: 20px; } .container { max-width: 960px; width: 100%; background-color: var(–card-background); padding: 30px; border-radius: 8px; box-shadow: var(–shadow); margin: 20px 0; } h1, h2, h3 { color: var(–primary-color); margin-bottom: 15px; } h1 { text-align: center; font-size: 2.2em; margin-bottom: 30px; } h2 { font-size: 1.8em; border-bottom: 2px solid var(–primary-color); padding-bottom: 5px; margin-top: 30px; } h3 { font-size: 1.4em; margin-top: 25px; } .calculator-wrapper { background-color: var(–card-background); padding: 25px; border-radius: 8px; box-shadow: var(–shadow); margin-bottom: 30px; border: 1px solid var(–border-color); } .input-group { margin-bottom: 20px; display: flex; flex-direction: column; gap: 5px; } .input-group label { font-weight: bold; display: block; margin-bottom: 5px; } .input-group input, .input-group select { width: 100%; padding: 10px; border: 1px solid var(–border-color); border-radius: 4px; box-sizing: border-box; font-size: 1em; } .input-group .helper-text { font-size: 0.85em; color: #666; margin-top: 5px; } .error-message { color: red; font-size: 0.8em; margin-top: 5px; display: none; /* Hidden by default */ } .button-group { display: flex; gap: 10px; margin-top: 25px; justify-content: center; flex-wrap: wrap; } button { padding: 12px 25px; border: none; border-radius: 5px; cursor: pointer; font-size: 1em; font-weight: bold; transition: background-color 0.3s ease; } .btn-primary { background-color: var(–primary-color); color: white; } .btn-primary:hover { background-color: #003366; } .btn-secondary { background-color: #6c757d; color: white; } .btn-secondary:hover { background-color: #5a6268; } .btn-reset { background-color: #ffc107; color: #212529; } .btn-reset:hover { background-color: #e0a800; } .results-section { margin-top: 30px; padding: 20px; background-color: var(–primary-color); color: white; border-radius: 5px; text-align: center; box-shadow: inset 0 0 10px rgba(0,0,0,0.2); } #main-result { font-size: 2.5em; font-weight: bold; margin-bottom: 10px; } #result-unit { font-size: 1.2em; opacity: 0.9; } .intermediate-results div, .formula-explanation { margin-top: 15px; font-size: 0.95em; } .intermediate-results span { font-weight: bold; margin-left: 5px; } .chart-container { margin-top: 30px; text-align: center; background-color: var(–card-background); padding: 20px; border-radius: 8px; box-shadow: var(–shadow); border: 1px solid var(–border-color); } canvas { max-width: 100%; height: auto; } figcaption { font-style: italic; color: #555; margin-top: 10px; font-size: 0.9em; } table { width: 100%; border-collapse: collapse; margin-top: 20px; box-shadow: var(–shadow); } th, td { padding: 12px; text-align: left; border-bottom: 1px solid #eee; } th { background-color: var(–primary-color); color: white; font-weight: bold; } tr:nth-child(even) { background-color: #f2f2f2; } tr:hover { background-color: #e9e9e9; } .article-section { margin-top: 40px; padding-top: 20px; } .article-section p { margin-bottom: 15px; } .article-section ul, .article-section ol { margin-left: 20px; margin-bottom: 15px; } .article-section li { margin-bottom: 8px; } .faq-item { margin-bottom: 15px; } .faq-item strong { display: block; color: var(–primary-color); margin-bottom: 5px; } .internal-links { margin-top: 30px; background-color: var(–card-background); padding: 20px; border-radius: 8px; box-shadow: var(–shadow); border: 1px solid var(–border-color); } .internal-links ul { list-style: none; padding: 0; } .internal-links li { margin-bottom: 10px; } .internal-links a { color: var(–primary-color); text-decoration: none; font-weight: bold; } .internal-links a:hover { text-decoration: underline; } .internal-links p { font-size: 0.9em; color: #555; } footer { text-align: center; margin-top: 40px; padding: 20px; font-size: 0.85em; color: #666; } /* Responsive adjustments */ @media (max-width: 768px) { .container { padding: 20px; } h1 { font-size: 1.8em; } h2 { font-size: 1.5em; } button { width: 100%; padding: 10px; } .button-group { flex-direction: column; align-items: center; } }

How to Calculate Arrow Weight Accurately

Ensure optimal performance for your archery and bowhunting pursuits by mastering arrow weight calculations.

Arrow Weight Calculator

Measure from the nock groove to the end of the shaft (before inserts/points).
Check your shaft's specifications.
Weight of the component that holds the point.
Weight of the nock.
Average weight of one vane or feather.
3 4
Typically 3 or 4 vanes/feathers.
Weight of the tip of your arrow.
Total Arrow Weight (grains)
Shaft Only Weight: grains
Total Component Weight: grains
Estimated Total Arrow Weight: grains
Formula: Total Arrow Weight = (Shaft Length × Shaft Weight per Inch) + Insert Weight + Nock Weight + (Fletching Weight per Fletching × Number of Fletchings) + Field Point/Broadhead Weight

Arrow Weight Component Breakdown

Breakdown of weights contributing to the total arrow weight.
Component Weight (grains)
Shaft
Insert
Nock
Fletchings
Point/Broadhead
Total Estimated Weight

What is Arrow Weight?

Arrow weight, often referred to as the total arrow mass, is a critical factor for archers and bowhunters. It's the complete mass of an assembled arrow, measured in grains, from the tip of the point to the end of the nock. Understanding how to calculate arrow weight accurately is fundamental to tuning your bow, ensuring consistent arrow flight, and achieving ethical, effective shots on game or targets. It's not just about the shaft; it's the sum of all components working together. Many beginners mistakenly focus only on the shaft weight or the point weight, neglecting the combined contribution of all parts. Properly calculating and understanding your arrow's total weight helps predict its trajectory, kinetic energy, and momentum.

Archers, particularly those involved in competitive target archery, 3D archery, and bowhunting, need to calculate arrow weight. Bowhunters rely on it for ethical kills, ensuring sufficient kinetic energy and momentum to penetrate vital organs. Target archers use it to fine-tune their setups for maximum accuracy and forgiveness in windy conditions. Common misconceptions about arrow weight include believing that heavier arrows are always slower and less accurate, or that lighter arrows are always better for speed. The reality is more nuanced; a well-matched arrow weight contributes to a balanced flight characteristic that is crucial for success.

Arrow Weight Formula and Mathematical Explanation

Calculating the total arrow weight is a straightforward additive process. You sum the individual weights of each component that makes up a fully assembled hunting or target arrow. The primary components contributing to the total weight are the arrow shaft, the insert (or outsert), the nock, the fletchings (vanes or feathers), and the point (field point or broadhead).

The Formula:

Total Arrow Weight = (Shaft Length × Shaft Weight per Inch) + Insert Weight + Nock Weight + (Fletching Weight per Fletching × Number of Fletchings) + Field Point/Broadhead Weight

Variable Explanations:

  • Shaft Length: The physical length of the arrow shaft, typically measured from the center of the nock groove to the end of the shaft where inserts are fitted.
  • Shaft Weight per Inch: The density of the arrow shaft material, expressed as weight per unit length. This is usually provided by the manufacturer.
  • Insert Weight: The weight of the component that threads into the shaft and provides a base for the point.
  • Nock Weight: The weight of the component attached to the rear of the shaft that engages the bowstring.
  • Fletching Weight per Fletching: The average weight of a single vane or feather.
  • Number of Fletchings: The total count of vanes or feathers attached to the shaft (commonly 3 or 4).
  • Field Point/Broadhead Weight: The weight of the projectile tip.

Variables Table:

Variable Meaning Unit Typical Range
Shaft LengthLength of the arrow shaftinches25 – 33 inches
Shaft Weight per InchDensity of the shaft materialgrains/inch6 – 12 grains/inch
Insert WeightWeight of the rear shaft adaptergrains5 – 20 grains
Nock WeightWeight of the string-engaging componentgrains5 – 15 grains
Fletching Weight per FletchingWeight of one vane/feathergrains0.5 – 3 grains
Number of FletchingsQuantity of vanes/featherscount3 or 4
Field Point/Broadhead WeightWeight of the arrow tipgrains75 – 200+ grains

By summing these individual weights, you get the complete arrow weight. This is crucial information for many aspects of bow tuning and arrow selection.

Practical Examples (Real-World Use Cases)

Example 1: Standard Hunting Arrow Build

An archer is assembling a new set of arrows for whitetail deer hunting. They have chosen a specific carbon shaft and need to determine the total arrow weight.

Inputs:

  • Arrow Shaft Length: 29 inches
  • Arrow Shaft Weight: 9.5 grains/inch
  • Insert Weight: 15 grains
  • Nock Weight: 8 grains
  • Fletching Weight per Fletching: 1.8 grains
  • Number of Fletchings: 3
  • Field Point/Broadhead Weight: 125 grains

Calculation:

Shaft Weight = 29 inches * 9.5 grains/inch = 275.5 grains
Total Component Weight = 15 (insert) + 8 (nock) + (1.8 * 3) (fletchings) = 15 + 8 + 5.4 = 28.4 grains
Total Arrow Weight = 275.5 (shaft) + 28.4 (components) + 125 (point) = 428.9 grains

Interpretation:

The total arrow weight for this setup is approximately 429 grains. This weight is generally considered suitable for deer hunting, offering a good balance between speed and momentum. This understanding of arrow weight calculation ensures the archer is using an ethically sound setup.

Example 2: Lightweight 3D Archery Arrow

A 3D archery competitor wants to build the lightest possible arrow for speed and a flatter trajectory.

Inputs:

  • Arrow Shaft Length: 27.5 inches
  • Arrow Shaft Weight: 7.0 grains/inch
  • Insert Weight: 10 grains
  • Nock Weight: 6 grains
  • Fletching Weight per Fletching: 1.0 grain
  • Number of Fletchings: 3
  • Field Point Weight: 100 grains

Calculation:

Shaft Weight = 27.5 inches * 7.0 grains/inch = 192.5 grains
Total Component Weight = 10 (insert) + 6 (nock) + (1.0 * 3) (fletchings) = 10 + 6 + 3 = 19 grains
Total Arrow Weight = 192.5 (shaft) + 19 (components) + 100 (point) = 311.5 grains

Interpretation:

This arrow configuration results in a total weight of approximately 312 grains. This lighter arrow will fly faster with a flatter trajectory, which is advantageous in 3D archery where precise distance estimation is key. Knowing how to calculate arrow weight allows for precise tuning for specific disciplines.

How to Use This Arrow Weight Calculator

Our calculator simplifies the process of determining your total arrow weight. Follow these easy steps to get an accurate measurement for your archery setup. This is a vital part of effective arrow selection.

  1. Enter Shaft Length: Input the length of your arrow shaft in inches. Measure from the center of the nock groove to the end of the shaft.
  2. Enter Shaft Weight per Inch: Find the manufacturer's specification for your shaft's weight and enter it in grains per inch.
  3. Enter Component Weights: Input the individual weights in grains for your arrow's insert, nock, and the field point or broadhead.
  4. Enter Fletching Details: Input the average weight per fletching (vane or feather) and select the total number of fletchings on your arrow.
  5. Click Calculate: Once all fields are populated, press the "Calculate" button.

Reading Your Results:

The calculator will display:

  • Primary Result: Your arrow's total estimated weight in grains. This is the most critical number for understanding your arrow's performance characteristics.
  • Intermediate Values: The breakdown includes the shaft-only weight, the combined weight of your components (insert, nock, fletchings), and the estimated total weight.
  • Formula Explanation: A clear statement of the formula used for transparency.
  • Table and Chart: A visual representation and structured breakdown of each component's contribution to the total weight.

Decision-Making Guidance:

Use the total arrow weight to compare against recommended specifications for your bow's draw weight and arrow spine. Heavier arrows generally deliver more kinetic energy and momentum, which are important for hunting, while lighter arrows fly faster with a flatter trajectory, beneficial for target and 3D archery. Consult your bow manufacturer's guidelines for minimum arrow weight recommendations. Understanding arrow weight calculation helps in making informed decisions about your archery equipment.

Key Factors That Affect Arrow Weight Results

While the calculation itself is simple addition, several factors can influence the accuracy and interpretation of your arrow weight results. Understanding these nuances is key to optimizing your archery performance.

  1. Component Variations: Even within the same product line, there can be slight variations in the weight of inserts, nocks, and fletchings. Always weigh your actual components with a good grain scale for the most precise measurement.
  2. Manufacturer Specifications: Shaft weights per inch are usually accurate, but always verify with the manufacturer's data. Different carbon grades or manufacturing processes can lead to minor weight differences.
  3. Fletching Type and Size: Larger vanes or feathers will weigh more than smaller ones. The material (plastic vs. feathers) also contributes to weight differences. This impacts the overall arrow weight calculation.
  4. Broadhead vs. Field Point: Broadheads, especially mechanical ones, can vary significantly in weight compared to field points. A hunter might calculate arrow weight with a field point for practice and then swap to a heavier or lighter broadhead for hunting, altering the total weight.
  5. Arrow Length Adjustments: Cutting arrows to a different length will change the shaft weight and can affect the overall arrow weight and spine. This is a common adjustment made during bow tuning.
  6. Added Accessories: While not typically included in a basic arrow weight calculation, some archers might add wraps, lighted nocks, or other accessories that contribute a small amount of additional weight.
  7. Environmental Factors: Moisture absorption (especially in fletchings) can slightly increase arrow weight, though this is usually negligible for most types of shooting.

Frequently Asked Questions (FAQ)

Q1: What is a good total arrow weight for bowhunting?

A good total arrow weight for bowhunting typically falls between 400 and 550 grains. Lighter arrows (under 400 grains) may sacrifice penetration and momentum, while extremely heavy arrows (over 600 grains) can significantly reduce speed and trajectory flatness. The ideal weight also depends on your bow's draw weight and the game you are hunting.

Q2: How does arrow weight affect arrow speed?

Generally, heavier arrows lose speed compared to lighter arrows shot from the same bow. This is due to physics: more mass requires more energy to accelerate to a given velocity. However, arrow speed is only one factor; kinetic energy and momentum are also crucial for penetration.

Q3: Is it better to have a heavier or lighter arrow?

It depends on the application. For maximum penetration and energy transfer in hunting, a heavier arrow is often preferred. For speed, a flatter trajectory, and forgiveness in windy conditions in target archery, a lighter arrow might be better. The key is finding a balance that suits your specific needs and your bow's optimal performance.

Q4: Does the type of fletching affect arrow weight?

Yes, the size and material of fletchings affect weight. Larger vanes or feathers weigh more than smaller ones. Feathers can also absorb moisture, potentially increasing their weight slightly.

Q5: What is kinetic energy and momentum, and how do they relate to arrow weight?

Kinetic Energy (KE) measures the energy an arrow possesses in motion (KE = 1/2 * mass * velocity^2). Momentum measures the "oomph" or "push" an arrow carries (Momentum = mass * velocity). Both are critical for penetration. Heavier arrows contribute significantly to both KE and especially momentum, even if they are slightly slower.

Q6: Can I just weigh my entire arrow on a scale?

Yes, using a precise digital scale (like a postal scale or a dedicated archery grain scale) is the most accurate way to determine your arrow's total weight. This calculator provides an estimate based on specifications, but weighing the actual arrow is recommended for maximum accuracy, especially for competitive shooting or critical hunting situations.

Q7: How important is the insert weight?

The insert weight can be significant, especially in heavier arrow builds. For example, a 15-grain insert adds more mass than a typical nock or vane. Choosing heavier inserts can help shift the arrow's center of gravity forward (increasing FOC) and increase total weight.

Q8: Does arrow spine relate to arrow weight?

Spine refers to an arrow's stiffness, not its weight. However, there is a correlation: heavier arrows for a given length and material tend to be stiffer, and lighter arrows tend to be more flexible. When selecting arrows, you must match both the correct spine and an appropriate total weight to your bow's draw weight, draw length, and shooting style.

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var canvas = document.getElementById('arrowWeightChart'); var ctx = canvas.getContext('2d'); var arrowWeightChart; function validateInput(id, min, max) { var input = document.getElementById(id); var errorElement = document.getElementById(id + 'Error'); var value = parseFloat(input.value); if (isNaN(value)) { errorElement.textContent = 'Please enter a valid number.'; errorElement.style.display = 'block'; return false; } if (value max) { errorElement.textContent = 'Value cannot be greater than ' + max + '.'; errorElement.style.display = 'block'; return false; } errorElement.textContent = "; errorElement.style.display = 'none'; return true; } function calculateArrowWeight() { var valid = true; valid &= validateInput('arrowShaftLength', 1, 100); // Reasonable max length valid &= validateInput('arrowShaftWeight', 1, 50); // Reasonable max grains/inch valid &= validateInput('insertWeight', 0, 100); // Reasonable max insert weight valid &= validateInput('nockWeight', 0, 50); // Reasonable max nock weight valid &= validateInput('fletchingWeightPerFletch', 0, 10); // Reasonable max fletching weight valid &= validateInput('broadheadWeight', 25, 500); // Reasonable broadhead range if (!valid) { document.getElementById('resultsSection').style.display = 'none'; return; } var shaftLength = parseFloat(document.getElementById('arrowShaftLength').value); var shaftWeightPerInch = parseFloat(document.getElementById('arrowShaftWeight').value); var insertWeight = parseFloat(document.getElementById('insertWeight').value); var nockWeight = parseFloat(document.getElementById('nockWeight').value); var fletchingWeightPerFletch = parseFloat(document.getElementById('fletchingWeightPerFletch').value); var numberOfFletchings = parseInt(document.getElementById('numberOfFletchings').value); var broadheadWeight = parseFloat(document.getElementById('broadheadWeight').value); var shaftOnlyWeight = shaftLength * shaftWeightPerInch; var fletchingTotalWeight = fletchingWeightPerFletch * numberOfFletchings; var totalComponentWeight = insertWeight + nockWeight + fletchingTotalWeight; var estimatedTotalWeight = shaftOnlyWeight + totalComponentWeight + broadheadWeight; document.getElementById('main-result').textContent = estimatedTotalWeight.toFixed(1); document.getElementById('shaftOnlyWeight').getElementsByTagName('span')[0].textContent = shaftOnlyWeight.toFixed(1); document.getElementById('totalComponentsWeight').getElementsByTagName('span')[0].textContent = totalComponentWeight.toFixed(1); document.getElementById('estimatedTotalWeight').getElementsByTagName('span')[0].textContent = estimatedTotalWeight.toFixed(1); document.getElementById('resultsSection').style.display = 'block'; updateChart(shaftOnlyWeight, insertWeight, nockWeight, fletchingTotalWeight, broadheadWeight, estimatedTotalWeight); updateTable(shaftOnlyWeight, insertWeight, nockWeight, fletchingTotalWeight, broadheadWeight, estimatedTotalWeight); } function updateChart(shaftWeight, insertWeight, nockWeight, fletchingWeight, pointWeight, totalWeight) { var labels = ['Shaft', 'Insert', 'Nock', 'Fletchings', 'Point/BH']; var data = [shaftWeight, insertWeight, nockWeight, fletchingWeight, pointWeight]; // Ensure totalWeight is represented even if it's slightly different due to rounding in calculation vs sum var totalForChart = shaftWeight + insertWeight + nockWeight + fletchingWeight + pointWeight; if (arrowWeightChart) { arrowWeightChart.destroy(); } arrowWeightChart = new Chart(ctx, { type: 'pie', data: { labels: labels, datasets: [{ label: 'Weight (grains)', data: data, backgroundColor: [ 'rgba(0, 74, 153, 0.7)', // Primary Blue 'rgba(40, 167, 69, 0.7)', // Success Green 'rgba(255, 193, 7, 0.7)', // Warning Yellow 'rgba(108, 117, 125, 0.7)', // Secondary Gray 'rgba(220, 53, 69, 0.7)' // Danger Red ], borderColor: [ 'rgba(0, 74, 153, 1)', 'rgba(40, 167, 69, 1)', 'rgba(255, 193, 7, 1)', 'rgba(108, 117, 125, 1)', 'rgba(220, 53, 69, 1)' ], borderWidth: 1 }] }, options: { responsive: true, maintainAspectRatio: false, plugins: { legend: { position: 'top', }, title: { display: true, text: 'Arrow Component Weight Breakdown (grains)' } } } }); } function updateTable(shaftWeight, insertWeight, nockWeight, fletchingWeight, pointWeight, totalWeight) { document.getElementById('tableShaftWeight').textContent = shaftWeight.toFixed(1); document.getElementById('tableInsertWeight').textContent = insertWeight.toFixed(1); document.getElementById('tableNockWeight').textContent = nockWeight.toFixed(1); document.getElementById('tableFletchingWeight').textContent = fletchingWeight.toFixed(1); document.getElementById('tablePointWeight').textContent = pointWeight.toFixed(1); document.getElementById('tableTotalWeight').textContent = totalWeight.toFixed(1); } function resetCalculator() { document.getElementById('arrowShaftLength').value = '28'; document.getElementById('arrowShaftWeight').value = '8.5'; document.getElementById('insertWeight').value = '12'; document.getElementById('nockWeight').value = '7'; document.getElementById('fletchingWeightPerFletch').value = '1.5'; document.getElementById('numberOfFletchings').value = '3'; document.getElementById('broadheadWeight').value = '100'; // Clear errors var errors = document.getElementsByClassName('error-message'); for (var i = 0; i < errors.length; i++) { errors[i].textContent = ''; errors[i].style.display = 'none'; } calculateArrowWeight(); // Recalculate with defaults } function copyResults() { var mainResult = document.getElementById('main-result').textContent; var shaftWeight = document.getElementById('shaftOnlyWeight').textContent.replace('Shaft Only Weight: ', ''); var componentWeight = document.getElementById('totalComponentsWeight').textContent.replace('Total Component Weight: ', ''); var estimatedTotal = document.getElementById('estimatedTotalWeight').textContent.replace('Estimated Total Arrow Weight: ', ''); var formula = "Formula: Total Arrow Weight = (Shaft Length × Shaft Weight per Inch) + Insert Weight + Nock Weight + (Fletching Weight per Fletching × Number of Fletchings) + Field Point/Broadhead Weight"; var assumptions = "Key Assumptions:\n"; assumptions += "- Shaft Length: " + document.getElementById('arrowShaftLength').value + " inches\n"; assumptions += "- Shaft Weight/Inch: " + document.getElementById('arrowShaftWeight').value + " grains/inch\n"; assumptions += "- Insert Weight: " + document.getElementById('insertWeight').value + " grains\n"; assumptions += "- Nock Weight: " + document.getElementById('nockWeight').value + " grains\n"; assumptions += "- Fletching Weight/Fletching: " + document.getElementById('fletchingWeightPerFletch').value + " grains\n"; assumptions += "- Number of Fletchings: " + document.getElementById('numberOfFletchings').value + "\n"; assumptions += "- Point/Broadhead Weight: " + document.getElementById('broadheadWeight').value + " grains\n"; var copyText = "— Arrow Weight Calculation Results —\n\n"; copyText += "Total Estimated Arrow Weight: " + mainResult + " grains\n"; copyText += "Shaft Only Weight: " + shaftWeight + "\n"; copyText += "Total Component Weight: " + componentWeight + "\n"; copyText += "Estimated Total Arrow Weight (Full Assembly): " + estimatedTotal + "\n\n"; copyText += formula + "\n\n"; copyText += assumptions; navigator.clipboard.writeText(copyText).then(function() { // Success feedback (optional) var originalText = event.target.innerText; event.target.innerText = 'Copied!'; setTimeout(function(){ event.target.innerText = originalText; }, 2000); }, function(err) { console.error('Failed to copy text: ', err); // Fallback for browsers that don't support clipboard API directly var textArea = document.createElement("textarea"); textArea.value = copyText; textArea.style.position = "fixed"; textArea.style.left = "-9999px"; document.body.appendChild(textArea); textArea.focus(); textArea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'Copied!' : 'Copy failed'; console.log('Fallback: ' + msg); var originalText = event.target.innerText; event.target.innerText = 'Copied!'; setTimeout(function(){ event.target.innerText = originalText; }, 2000); } catch (err) { console.error('Fallback: Oops, unable to copy', err); } document.body.removeChild(textArea); }); } // Initial calculation on load with default values document.addEventListener('DOMContentLoaded', function() { resetCalculator(); }); // Add Chart.js for dynamic charts (must be included externally or in-line) // For this single file output, we'll assume Chart.js is loaded separately // If it were a true single file, you'd need to embed Chart.js source here or link it. // For demonstration purposes, I'll add a placeholder script tag. // A real implementation would require downloading Chart.js and embedding it. // // For this specific response, I'll include a minimal Chart.js setup directly // as per instructions to only output the HTML file. <!– –>

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