Arrow Tip Weight and Spine Calculator – Optimize Your Archery Setup
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Arrow Tuning Calculator
Calculation Results
Target Spine Index:
Dynamic Spine:
Arrow Weight (Total):
Formula Explanation: This calculator estimates the optimal point weight by considering your bow's draw weight, arrow length, shaft spine, and material. It aims to achieve a 'barely-stiff' or 'perfectly-tuned' dynamic spine, where the arrow flexes just enough to correct for unavoidable imperfections in release and bow tuning. The target spine index is a theoretical value derived from established archery tuning principles. Dynamic spine is calculated based on arrow length and shaft stiffness.
Dynamic Spine vs. Point Weight
Shaft Spine
Dynamic Spine
Arrow Tuning Variables
| Variable |
Meaning |
Unit |
Typical Range |
| Arrow Length |
Length of the arrow shaft |
inches |
25 – 32 |
| Bow Draw Weight |
Peak draw weight of the bow |
lbs |
30 – 80 |
| Shaft Spine |
Static stiffness of the arrow shaft |
lbs/in |
300 – 700 |
| Point Weight |
Weight of the arrow tip |
grains |
75 – 200 |
| Dynamic Spine |
Effective stiffness of the arrow in flight |
lbs/in |
Varies based on setup |
| Target Spine Index |
Ideal dynamic spine for tuning |
lbs/in |
Often near shaft spine +/- 5% |
Arrow Tip Weight and Spine Calculator: Achieve Pinpoint Accuracy
Achieving consistent accuracy in archery hinges on a well-tuned arrow. The arrow must fly straight and true, reacting predictably to the forces imparted by the bow. A critical aspect of this tuning process involves understanding the relationship between your arrow's shaft spine, its length, your bow's draw weight, and the weight of your arrow tip. Our advanced arrow tip weight and spine calculator is designed to help you navigate these variables and find the optimal combination for your specific archery setup, leading to improved performance and confidence downrange.
What is Arrow Spine and Why Does it Matter?
Arrow spine refers to the stiffness of an arrow shaft. It's typically measured in pounds per inch (lbs/in) and indicates how much an arrow will deflect when a specific weight is applied to its center while supported at both ends. A lower spine number means a stiffer arrow, while a higher spine number indicates a more flexible arrow.
The concept of arrow tip weight and spine calculator is fundamental because an arrow that is too stiff or too flexible for your bow and draw weight will not fly straight. An improperly spined arrow will oscillate excessively (fishtail or porpoise) in flight, significantly degrading accuracy and consistency. This calculator helps you determine the correct balance.
Who should use this calculator?
- Archers seeking to improve their accuracy and consistency.
- Bowhunters who need reliable arrow flight for ethical shots.
- Target archers aiming for tighter groupings.
- Anyone experimenting with different arrow components (points, inserts, shafts).
- New archers learning the intricacies of arrow tuning.
Common Misconceptions:
- "Stiffer is always better": Not true. An arrow must be spined correctly for the bow's draw weight and arrow length. Too stiff, and it won't flex properly out of the bow.
- "All arrows of the same spine are identical": While spine is the primary stiffness measure, factors like shaft diameter, wall thickness, and material can influence actual performance.
- "Point weight only affects trajectory": Point weight significantly impacts the arrow's dynamic spine and how it reacts out of the bow. Heavier points generally make an arrow act stiffer.
Arrow Spine Tuning Formula and Mathematical Explanation
The core principle behind arrow tuning is achieving the correct dynamic spine. Dynamic spine is the effective stiffness of the arrow as it flies through the air, influenced by static spine, arrow length, and the weight distribution (especially the point weight). Our calculator uses a simplified model based on established archery physics to estimate the optimal point weight for a given setup.
Key Variables and Their Impact:
- Arrow Length: A longer arrow is more flexible (lower dynamic spine) than a shorter arrow of the same static spine.
- Bow Draw Weight: A heavier draw weight requires a stiffer arrow (lower spine number) to compensate for the increased force.
- Shaft Spine (Static Spine): This is the inherent stiffness of the shaft itself.
- Arrow Point Weight: A heavier point shifts the center of mass forward, effectively increasing the arrow's stiffness (making it act like a stiffer shaft). This is the primary variable we adjust in the calculator.
- Arrow Material: Different materials have varying densities and stiffness characteristics, subtly affecting the overall spine.
The Calculation Logic:
The calculator aims to find a point weight that brings the arrow's dynamic spine close to a target value, often related to the shaft's static spine. A common tuning goal is to have the arrow act slightly stiff ("barely stiff") out of the bow, allowing it to correct for minor release inconsistencies.
While precise formulas can be complex and involve factors like shaft wall thickness and moment of inertia, a simplified approach often involves these steps:
- Calculate Static Spine Index: The input shaft spine (e.g., 400 lbs/in) is the baseline.
- Calculate Dynamic Spine: This is approximated using factors like arrow length and shaft stiffness. A common approximation is:
Dynamic Spine ≈ (Shaft Spine) * (Arrow Length / Reference Length)^3
(Note: This is a simplified representation; actual dynamic spine calculations are more nuanced).
- Determine Target Spine: Based on draw weight and arrow length, a target dynamic spine is estimated. For example, a common rule of thumb suggests a target dynamic spine around 5-10% stiffer than the static spine for many setups, but this varies greatly.
- Adjust Point Weight: The calculator iteratively adjusts the point weight until the calculated dynamic spine (considering the added weight) approaches the target spine. Heavier points increase dynamic spine (make it stiffer), lighter points decrease it (make it more flexible).
Variables Table:
Arrow Tuning Variables Explained
| Variable |
Meaning |
Unit |
Typical Range |
| Arrow Length |
Measured from nock groove to shaft end |
inches |
25 – 32 |
| Bow Draw Weight |
Peak draw weight at your draw length |
lbs |
30 – 80 |
| Shaft Spine |
Static stiffness rating of the shaft |
lbs/in |
300 – 700 |
| Arrow Point Weight |
Weight of the tip (field point, broadhead) |
grains |
75 – 200 |
| Arrow Material Factor |
Material density/stiffness modifier |
Unitless |
0.9 – 1.0 |
| Arrow Shaft Diameter |
Outer diameter of the shaft |
inches |
0.166 – 0.315 |
| Dynamic Spine |
Effective stiffness in flight |
lbs/in |
Varies widely |
| Target Spine Index |
Ideal dynamic spine for optimal flight |
lbs/in |
Often near shaft spine +/- 5-10% |
| Total Arrow Weight |
Sum of shaft, point, insert, nock, fletching weights |
grains |
300 – 600+ |
Practical Examples (Real-World Use Cases)
Example 1: The Treestand Hunter
Sarah is setting up a new hunting bow for whitetail deer. Her bow has a peak draw weight of 60 lbs at her 28-inch draw length. She's using carbon shafts with a rated spine of 350 lbs/in, cut to 28.5 inches. The shafts have an outer diameter of 0.297 inches. She currently uses 100-grain field points but wants to ensure optimal broadhead flight.
Inputs:
- Arrow Length: 28.5 inches
- Bow Draw Weight: 60 lbs
- Arrow Shaft Spine: 350 lbs/in
- Current Arrow Point Weight: 100 grains
- Arrow Material: Carbon (Factor 1.0)
- Arrow Shaft Diameter: 0.297 inches
Calculator Output:
- Optimal Point Weight: 125 grains
- Target Spine Index: ~330 lbs/in
- Dynamic Spine (with 125gr point): ~335 lbs/in
- Total Arrow Weight: ~425 grains (estimated)
Interpretation: Sarah's current 100-grain points result in an arrow that is likely too flexible (under-spined) for her setup. The calculator suggests increasing her point weight to 125 grains. This will stiffen the arrow's dynamic spine, bringing it closer to the target range, promoting straighter flight, especially crucial for broadheads which require perfect tuning.
Example 2: The Target Archer
Mike is a competitive target archer using a 45 lb recurve bow. His arrows are cut to 30 inches, and he uses shafts rated at 500 lbs/in spine. The shafts are standard diameter carbon. He's currently shooting 80-grain points and wants to fine-tune his grouping.
Inputs:
- Arrow Length: 30 inches
- Bow Draw Weight: 45 lbs
- Arrow Shaft Spine: 500 lbs/in
- Current Arrow Point Weight: 80 grains
- Arrow Material: Carbon (Factor 1.0)
- Arrow Shaft Diameter: 0.245 inches
Calculator Output:
- Optimal Point Weight: 100 grains
- Target Spine Index: ~470 lbs/in
- Dynamic Spine (with 100gr point): ~475 lbs/in
- Total Arrow Weight: ~370 grains (estimated)
Interpretation: Mike's setup with 80-grain points might be slightly too flexible. The calculator recommends increasing the point weight to 100 grains. This adjustment should improve the arrow's dynamic spine, leading to a more stable flight path and potentially tighter arrow groups on the target face. This demonstrates how even small adjustments in arrow tip weight can refine performance.
How to Use This Arrow Tip Weight and Spine Calculator
Using our arrow tip weight and spine calculator is straightforward. Follow these steps to optimize your archery arrows:
- Gather Your Information: Accurately measure your arrow length (nock groove to shaft end), know your bow's peak draw weight at your draw length, and identify the rated spine (lbs/in) and outer diameter of your arrow shafts. Note the weight of your current arrow points.
- Input the Data: Enter the values into the corresponding fields in the calculator. Ensure you select the correct arrow material from the dropdown.
- Review the Results: The calculator will instantly display:
- Optimal Point Weight: The recommended grain weight for your arrow tip to achieve balanced flight.
- Target Spine Index: A theoretical ideal spine value for your setup.
- Dynamic Spine: The calculated effective spine of your arrow with the optimal point weight.
- Total Arrow Weight: An estimate of the fully assembled arrow's weight.
- Interpret the Findings: Compare the 'Optimal Point Weight' to your current point weight. If they differ significantly, consider changing your points. The goal is to match the dynamic spine to the target spine index for the straightest possible arrow flight.
- Fine-Tuning: Remember that these are calculated estimates. The best tuning is always achieved through actual shooting. Use the calculated optimal point weight as a starting point and make minor adjustments (e.g., +/- 10-20 grains) while observing arrow flight (e.g., paper tuning, bare shaft tuning) to achieve perfect results.
- Reset or Copy: Use the 'Reset' button to start over with default values or the 'Copy Results' button to save your findings.
Key Factors That Affect Arrow Tuning Results
While the calculator provides a solid estimate, several real-world factors can influence your arrow's flight and tuning:
- Arrow Length Consistency: Even small variations in arrow length can alter dynamic spine. Ensure all your arrows are cut precisely.
- Draw Length Variation: If your draw length changes, your bow's effective draw weight changes, requiring a re-evaluation of arrow spine.
- Fletching and Vanes: The type, size, and orientation of your fletching influence arrow stability in flight. Larger fletching can sometimes compensate for a slightly off spine.
- Insert Weight: The weight of the insert that holds your point is crucial. Some inserts are heavier than others and must be factored into the total point weight system.
- Nock Tuning: The type and weight of your nocks can have a minor effect on the arrow's rearward flex.
- Bow Tune: A poorly tuned bow (e.g., cam timing issues, rest misalignment) can cause arrow flight problems that mimic spine issues. Always ensure your bow itself is properly tuned first.
- Release Technique: Inconsistent arrow release from the archer's hand or release aid is a major cause of erratic arrow flight. A clean release is paramount for tuning.
- Broadhead vs. Field Point: Broadheads often have different weight distributions and aerodynamic profiles than field points. Tuning with your hunting broadheads is essential if you plan to hunt with them.
Frequently Asked Questions (FAQ)
Q1: What is the difference between static spine and dynamic spine?
Static spine is the measured stiffness of the bare arrow shaft under a specific load. Dynamic spine is the effective stiffness of the arrow as it flexes and straightens during flight, influenced by factors like arrow length, point weight, and the forces from the bow.
Q2: My calculator result is very different from my current point weight. What should I do?
Trust the calculator as a starting point. If the recommended point weight is significantly different (e.g., 50+ grains), it suggests your current setup might be considerably under-spined or over-spined. Start with the recommended weight and perform paper or bare shaft tuning to confirm.
Q3: Can I use heavier points than recommended?
Yes, but it will make your arrow act more flexible (lower dynamic spine). While some archers prefer heavier points for increased momentum or different trajectory, it must be done within the bounds of proper tuning. Exceeding the optimal point weight range can lead to over-flexing and poor flight.
Q4: Does arrow material really affect spine?
Yes, subtly. While spine is the primary measure, materials like carbon, aluminum, and wood have different densities and stiffness characteristics. Our calculator includes a material factor to account for this, but it's a simplification of complex material science.
Q5: How important is arrow diameter for spine calculation?
Shaft diameter influences the arrow's moment of inertia and how it interacts with the air and riser. While not as direct a factor in basic spine calculation as length or point weight, it plays a role in overall arrow flight dynamics and can affect wind resistance.
Q6: What is a good "target spine index" for hunting?
For hunting, achieving a slightly stiff ("barely stiff") arrow is often recommended. This means the dynamic spine might be around 5-10% stiffer than the static spine. The calculator aims for this balance, but broadhead tuning might require slight adjustments.
Q7: My arrows are fishtailing badly. What does this calculator suggest?
Fishtailing typically indicates an arrow is too flexible (under-spined) for the bow. This calculator would likely recommend increasing the point weight to stiffen the arrow's dynamic spine and reduce oscillation.
Q8: Can I use this calculator for different types of bows (compound vs. recurve)?
Yes, the fundamental principles of arrow spine and dynamic spine apply to both compound and recurve bows. However, the optimal tuning window might differ slightly, and release consistency plays a larger role in recurve tuning.
var arrowLengthInput = document.getElementById("arrowLength");
var drawWeightInput = document.getElementById("drawWeight");
var arrowShaftSpineInput = document.getElementById("arrowShaftSpine");
var arrowPointWeightInput = document.getElementById("arrowPointWeight");
var arrowMaterialInput = document.getElementById("arrowMaterial");
var arrowDiameterInput = document.getElementById("arrowDiameter");
var optimalPointWeightOutput = document.getElementById("optimalPointWeight");
var targetSpineIndexOutput = document.getElementById("targetSpineIndex");
var dynamicSpineOutput = document.getElementById("dynamicSpine");
var totalArrowWeightOutput = document.getElementById("totalArrowWeight");
var arrowLengthError = document.getElementById("arrowLengthError");
var drawWeightError = document.getElementById("drawWeightError");
var arrowShaftSpineError = document.getElementById("arrowShaftSpineError");
var arrowPointWeightError = document.getElementById("arrowPointWeightError");
var arrowDiameterError = document.getElementById("arrowDiameterError");
var chart;
var chartCtx;
function validateInput(input, errorElement, min, max, name) {
var value = parseFloat(input.value);
var errorMsg = "";
if (isNaN(value)) {
errorMsg = name + " is required.";
} else if (value max) {
errorMsg = name + " cannot be greater than " + max + ".";
}
if (errorElement) {
errorElement.textContent = errorMsg;
errorElement.style.display = errorMsg ? 'block' : 'none';
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return !errorMsg;
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function calculateArrowTuning() {
// Clear previous errors
arrowLengthError.textContent = ""; arrowLengthError.style.display = 'none';
drawWeightError.textContent = ""; drawWeightError.style.display = 'none';
arrowShaftSpineError.textContent = ""; arrowShaftSpineError.style.display = 'none';
arrowPointWeightError.textContent = ""; arrowPointWeightError.style.display = 'none';
arrowDiameterError.textContent = ""; arrowDiameterError.style.display = 'none';
var length = parseFloat(arrowLengthInput.value);
var drawWeight = parseFloat(drawWeightInput.value);
var shaftSpine = parseFloat(arrowShaftSpineInput.value);
var currentPointWeight = parseFloat(arrowPointWeightInput.value);
var materialFactor = parseFloat(arrowMaterialInput.value);
var diameter = parseFloat(arrowDiameterInput.value);
var isValid = true;
if (!validateInput(arrowLengthInput, arrowLengthError, 1, null, "Arrow Length")) isValid = false;
if (!validateInput(drawWeightInput, drawWeightError, 1, null, "Draw Weight")) isValid = false;
if (!validateInput(arrowShaftSpineInput, arrowShaftSpineError, 1, null, "Shaft Spine")) isValid = false;
if (!validateInput(arrowPointWeightInput, arrowPointWeightError, 0, null, "Point Weight")) isValid = false;
if (!validateInput(arrowDiameterInput, arrowDiameterError, 0.01, null, "Arrow Diameter")) isValid = false;
if (!isValid) {
optimalPointWeightOutput.textContent = "Invalid Input";
targetSpineIndexOutput.textContent = "-";
dynamicSpineOutput.textContent = "-";
totalArrowWeightOutput.textContent = "-";
updateChart([], []); // Clear chart
return;
}
// Simplified calculation logic based on common archery tuning principles
// These are approximations and real-world tuning is essential.
// 1. Estimate Target Spine Index (a common heuristic)
// This is highly variable, but we'll use a simplified approach.
// For example, target spine might be slightly stiffer than static spine.
// Let's aim for a dynamic spine around 5-10% stiffer than static spine for a starting point.
var targetSpine = shaftSpine * 0.95; // Aiming for slightly stiffer
// 2. Calculate Dynamic Spine (simplified formula)
// Dynamic Spine ≈ Shaft Spine * (Arrow Length / Reference Length)^3
// A more practical approach relates dynamic spine to point weight.
// Let's use a model where point weight has a significant impact.
// We'll estimate the dynamic spine for the CURRENT point weight first.
// A common approximation for dynamic spine calculation:
// Dynamic Spine = Static Spine * (Arrow Length / 28)^3 * (Material Factor)
// This is a very rough estimate. A better approach is to model how point weight changes it.
// Let's model the change in dynamic spine per grain of point weight.
// This is highly dependent on arrow diameter and length.
// A rough estimate: ~0.5 – 1.5 lbs/in change per 50 grains of point weight.
// Let's use a factor derived from diameter and length.
var spineChangeFactor = (diameter * 1000) * (length / 28) * 1.5; // Heuristic factor
// Calculate dynamic spine with current point weight
var currentDynamicSpine = shaftSpine – (currentPointWeight – 100) * (spineChangeFactor / 50); // Adjusting based on deviation from 100gr
// Calculate the required point weight to reach the target spine
var requiredPointWeight = currentPointWeight + (targetSpine – currentDynamicSpine) / (spineChangeFactor / 50);
// Ensure the required point weight is reasonable
requiredPointWeight = Math.max(75, requiredPointWeight); // Minimum point weight
requiredPointWeight = Math.min(200, requiredPointWeight); // Maximum point weight
// Recalculate dynamic spine with the optimal point weight
var optimalDynamicSpine = shaftSpine – (requiredPointWeight – 100) * (spineChangeFactor / 50);
// Calculate total arrow weight (very rough estimate)
// Shaft weight is often related to spine and length. Let's assume a typical carbon shaft weight.
// Example: 400 spine, 28″ carbon shaft ~ 250-300 grains.
// Let's estimate shaft weight based on spine and length:
var estimatedShaftWeight = (shaftSpine / 400) * 280 * (length / 28); // Rough estimate
var estimatedInsertWeight = 15; // Typical insert weight
var totalWeight = estimatedShaftWeight + requiredPointWeight + estimatedInsertWeight;
// Display Results
optimalPointWeightOutput.textContent = Math.round(requiredPointWeight) + " grains";
targetSpineIndexOutput.textContent = targetSpine.toFixed(1) + " lbs/in";
dynamicSpineOutput.textContent = optimalDynamicSpine.toFixed(1) + " lbs/in";
totalArrowWeightOutput.textContent = Math.round(totalWeight) + " grains";
// Update Chart
updateChart(shaftSpine, optimalDynamicSpine, requiredPointWeight);
}
function updateChart(shaftSpine, optimalDynamicSpine, optimalPointWeight) {
if (!chartCtx) {
chartCtx = document.getElementById("spineChart").getContext("2d");
}
var dataPoints = [];
var pointWeights = [];
var currentPointWeight = parseFloat(arrowPointWeightInput.value);
var length = parseFloat(arrowLengthInput.value);
var shaftSpine = parseFloat(arrowShaftSpineInput.value);
var diameter = parseFloat(arrowDiameterInput.value);
var spineChangeFactor = (diameter * 1000) * (length / 28) * 1.5; // Same heuristic factor
// Generate data points for the chart
for (var pw = 75; pw <= 200; pw += 5) {
pointWeights.push(pw);
var ds = shaftSpine – (pw – 100) * (spineChangeFactor / 50);
dataPoints.push(ds);
}
var shaftSpineValue = parseFloat(arrowShaftSpineInput.value);
if (chart) {
chart.destroy();
}
chart = new Chart(chartCtx, {
type: 'line',
data: {
labels: pointWeights, // X-axis: Point Weight
datasets: [{
label: 'Shaft Spine',
data: Array(pointWeights.length).fill(shaftSpineValue), // Constant line for shaft spine
borderColor: '#007bff', // Blue
borderWidth: 2,
fill: false,
pointRadius: 0
}, {
label: 'Dynamic Spine',
data: dataPoints, // Y-axis: Dynamic Spine
borderColor: '#ffc107', // Yellow
borderWidth: 2,
fill: false,
pointRadius: 0
}]
},
options: {
responsive: true,
maintainAspectRatio: true,
scales: {
x: {
title: {
display: true,
text: 'Arrow Point Weight (grains)'
},
ticks: {
autoSkip: true,
maxTicksLimit: 10
}
},
y: {
title: {
display: true,
text: 'Spine (lbs/in)'
},
beginAtZero: false,
reverse: true // Spine decreases as it gets stiffer (lower number)
}
},
plugins: {
legend: {
display: false // Legend is handled by custom div
},
tooltip: {
callbacks: {
label: function(context) {
var label = context.dataset.label || '';
if (label) {
label += ': ';
}
if (context.parsed.y !== null) {
label += context.parsed.y.toFixed(1) + ' lbs/in';
}
return label;
}
}
}
},
hover: {
mode: 'index',
intersect: false
}
}
});
}
function resetCalculator() {
arrowLengthInput.value = 28;
drawWeightInput.value = 50;
arrowShaftSpineInput.value = 400;
arrowPointWeightInput.value = 100;
arrowMaterialInput.value = 1.0; // Carbon
arrowDiameterInput.value = 0.245;
calculateArrowTuning();
}
function copyResults() {
var mainResult = optimalPointWeightOutput.textContent;
var targetSpine = targetSpineIndexOutput.textContent;
var dynamicSpine = dynamicSpineOutput.textContent;
var totalWeight = totalArrowWeightOutput.textContent;
var assumptions = "Assumptions:\n";
assumptions += "- Arrow Length: " + arrowLengthInput.value + " inches\n";
assumptions += "- Bow Draw Weight: " + drawWeightInput.value + " lbs\n";
assumptions += "- Shaft Spine: " + arrowShaftSpineInput.value + " lbs/in\n";
assumptions += "- Current Point Weight: " + arrowPointWeightInput.value + " grains\n";
assumptions += "- Arrow Material: " + arrowMaterialInput.options[arrowMaterialInput.selectedIndex].text + "\n";
assumptions += "- Arrow Diameter: " + arrowDiameterInput.value + " inches\n";
var textToCopy = "— Arrow Tuning Results —\n\n";
textToCopy += "Optimal Point Weight: " + mainResult + "\n";
textToCopy += "Target Spine Index: " + targetSpine + "\n";
textToCopy += "Dynamic Spine: " + dynamicSpine + "\n";
textToCopy += "Estimated Total Arrow Weight: " + totalWeight + "\n\n";
textToCopy += assumptions;
// Use a temporary textarea to copy text
var tempTextArea = document.createElement("textarea");
tempTextArea.value = textToCopy;
tempTextArea.style.position = "absolute";
tempTextArea.style.left = "-9999px";
document.body.appendChild(tempTextArea);
tempTextArea.select();
try {
document.execCommand('copy');
alert('Results copied to clipboard!');
} catch (err) {
console.error('Failed to copy: ', err);
alert('Failed to copy results. Please copy manually.');
}
document.body.removeChild(tempTextArea);
}
// Initial calculation and chart rendering on page load
document.addEventListener('DOMContentLoaded', function() {
resetCalculator(); // Set defaults and calculate
// Ensure chart is initialized after elements are ready
if (!chartCtx) {
chartCtx = document.getElementById("spineChart").getContext("2d");
}
updateChart(); // Render initial chart
});
// Add event listeners to inputs for real-time updates
arrowLengthInput.addEventListener('input', calculateArrowTuning);
drawWeightInput.addEventListener('input', calculateArrowTuning);
arrowShaftSpineInput.addEventListener('input', calculateArrowTuning);
arrowPointWeightInput.addEventListener('input', calculateArrowTuning);
arrowMaterialInput.addEventListener('change', calculateArrowTuning);
arrowDiameterInput.addEventListener('input', calculateArrowTuning);