{"id":20916,"date":"2025-12-20T23:28:00","date_gmt":"2025-12-20T23:28:00","guid":{"rendered":"https:\/\/vibromera.eu\/?p=20916"},"modified":"2025-12-21T17:45:09","modified_gmt":"2025-12-21T17:45:09","slug":"online-vector-calculator-for-rotor-balancing","status":"publish","type":"post","link":"https:\/\/vibromera.eu\/bn\/uncategorized\/online-vector-calculator-for-rotor-balancing\/","title":{"rendered":"Online Vector Calculator for Rotor Balancing"},"content":{"rendered":"<div id=\"pl-20916\"  class=\"panel-layout\" ><div id=\"pg-20916-0\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-20916-0-0\"  class=\"panel-grid-cell\" ><div id=\"panel-20916-0-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"0\" ><h3 class=\"widget-title\">Vector Calculator<\/h3><div class=\"textwidget custom-html-widget\"><!DOCTYPE html>\n<html lang=\"en\">\n<head>\n  <meta charset=\"UTF-8\">\n  <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n\n  <style>\n    .vc-container {\n      font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, sans-serif;\n      max-width: 1400px;\n      margin: 0 auto;\n      padding: 16px;\n      background: #f8fafc;\n      box-sizing: border-box;\n    }\n    .vc-container * {\n      box-sizing: border-box;\n    }\n    .vc-title {\n      text-align: center;\n      font-size: 24px;\n      font-weight: 700;\n      color: #1e3a8a;\n      margin: 0 0 24px 0;\n    }\n    .vc-inputs {\n      display: grid;\n      grid-template-columns: 1fr 1fr;\n      gap: 16px;\n      margin-bottom: 20px;\n    }\n    @media (max-width: 500px) {\n      .vc-inputs { grid-template-columns: 1fr; }\n    }\n    .vc-vector-box {\n      padding: 16px;\n      border-radius: 8px;\n      border: 1px solid #bfdbfe;\n      background: #fff;\n    }\n    .vc-vector-label {\n      font-weight: 500;\n      color: #1e3a8a;\n      margin-bottom: 12px;\n    }\n    .vc-fields {\n      display: flex;\n      gap: 16px;\n    }\n    .vc-field {\n      flex: 1;\n    }\n    .vc-field-label {\n      font-size: 12px;\n      color: #2563eb;\n      font-weight: 500;\n      display: block;\n      margin-bottom: 4px;\n    }\n    .vc-field input {\n      width: 100%;\n      padding: 12px;\n      border: 1px solid #bfdbfe;\n      border-radius: 4px;\n      text-align: center;\n      font-family: monospace;\n      font-size: 18px;\n    }\n    .vc-field input:focus {\n      outline: none;\n      border-color: #3b82f6;\n      box-shadow: 0 0 0 2px rgba(59,130,246,0.3);\n    }\n    .vc-diagram {\n      display: flex;\n      justify-content: center;\n      margin-top: 12px;\n    }\n    .vc-diagram svg {\n      background: #eff6ff;\n      border-radius: 4px;\n    }\n    .vc-operations {\n      background: #fff;\n      border-radius: 8px;\n      border: 1px solid #bfdbfe;\n      padding: 16px;\n      margin-bottom: 20px;\n    }\n    .vc-operations-label {\n      font-size: 14px;\n      font-weight: 500;\n      color: #1e3a8a;\n      margin-bottom: 12px;\n    }\n    .vc-ops-grid {\n      display: grid;\n      grid-template-columns: repeat(5, 1fr);\n      gap: 8px;\n    }\n    @media (max-width: 500px) {\n      .vc-ops-grid { grid-template-columns: repeat(3, 1fr); }\n    }\n    .vc-op-btn {\n      padding: 12px 8px;\n      border-radius: 4px;\n      border: 1px solid #bfdbfe;\n      background: #eff6ff;\n      color: #1d4ed8;\n      cursor: pointer;\n      text-align: center;\n      transition: all 0.2s;\n    }\n    .vc-op-btn:hover {\n      background: #dbeafe;\n    }\n    .vc-op-btn.active {\n      background: #2563eb;\n      color: #fff;\n      border-color: #2563eb;\n    }\n    .vc-op-icon {\n      font-size: 16px;\n      font-weight: 700;\n    }\n    .vc-op-name {\n      font-size: 11px;\n      margin-top: 4px;\n    }\n    .vc-scalar-row {\n      display: none;\n      margin-top: 16px;\n      justify-content: center;\n      align-items: center;\n      gap: 12px;\n    }\n    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    margin-bottom: 8px;\n    }\n    .vc-result-values {\n      display: flex;\n      justify-content: center;\n      align-items: center;\n      gap: 32px;\n    }\n    .vc-result-item {\n      text-align: center;\n    }\n    .vc-result-num {\n      font-size: 28px;\n      font-family: monospace;\n      font-weight: 700;\n      color: #1e3a8a;\n    }\n    .vc-result-unit {\n      font-size: 12px;\n      color: #3b82f6;\n      margin-top: 4px;\n    }\n    .vc-result-sep {\n      font-size: 24px;\n      color: #93c5fd;\n    }\n    .vc-result-cartesian {\n      text-align: center;\n      font-size: 14px;\n      color: #3b82f6;\n      margin-top: 12px;\n      padding-top: 12px;\n      border-top: 1px solid #eff6ff;\n    }\n    .vc-result-note {\n      text-align: center;\n      font-size: 14px;\n      color: #1d4ed8;\n      background: #eff6ff;\n      padding: 8px;\n      border-radius: 4px;\n      border: 1px solid #bfdbfe;\n      margin-top: 12px;\n    }\n    .vc-result-diagram {\n      display: flex;\n      justify-content: center;\n      margin-top: 12px;\n    }\n    .vc-help-toggle {\n      width: 100%;\n      margin-top: 24px;\n      padding: 12px;\n      background: #fff;\n      border: 1px solid #bfdbfe;\n      border-radius: 8px;\n      color: #1d4ed8;\n      font-size: 14px;\n      font-weight: 500;\n      cursor: pointer;\n      display: flex;\n      justify-content: space-between;\n      align-items: center;\n      transition: background 0.2s;\n    }\n    .vc-help-toggle:hover {\n      background: #eff6ff;\n    }\n    .vc-help-icon {\n      color: #93c5fd;\n    }\n    .vc-help-content {\n      display: none;\n      margin-top: 8px;\n      padding: 16px;\n      background: #fff;\n      border: 1px solid #bfdbfe;\n      border-radius: 8px;\n      font-size: 14px;\n      color: #1e3a8a;\n    }\n    .vc-help-content.visible {\n      display: block;\n    }\n    .vc-help-section {\n      margin-bottom: 20px;\n    }\n    .vc-help-section:last-child {\n      margin-bottom: 0;\n    }\n    .vc-help-heading {\n      font-weight: 600;\n      margin-bottom: 8px;\n    }\n    .vc-help-text {\n      color: #1d4ed8;\n      line-height: 1.5;\n    }\n    .vc-help-list {\n      color: #1d4ed8;\n      line-height: 1.6;\n      padding-left: 0;\n      list-style: none;\n    }\n    .vc-help-list li {\n      margin-bottom: 8px;\n    }\n    .vc-help-example {\n      background: #eff6ff;\n      padding: 12px;\n      border-radius: 4px;\n      border: 1px solid #bfdbfe;\n      color: #1e40af;\n      line-height: 1.6;\n    }\n    .vc-help-formulas {\n      font-family: monospace;\n      font-size: 12px;\n      color: #1d4ed8;\n      padding-top: 12px;\n      border-top: 1px solid #eff6ff;\n    }\n  <\/style>\n<\/head>\n<body>\n\n<div class=\"vc-container\">\n  <h1 class=\"vc-title\">Vector Calculator<\/h1>\n\n  <div class=\"vc-inputs\">\n    <div class=\"vc-vector-box\">\n      <div class=\"vc-vector-label\">Vector A<\/div>\n      <div class=\"vc-fields\">\n        <div class=\"vc-field\">\n          <label class=\"vc-field-label\">Mass, g<\/label>\n          <input type=\"number\" id=\"vc-mass1\" value=\"10\" step=\"0.1\" min=\"0\">\n        <\/div>\n        <div class=\"vc-field\">\n          <label class=\"vc-field-label\">Angle, deg<\/label>\n          <input type=\"number\" id=\"vc-angle1\" value=\"45\" step=\"1\">\n        <\/div>\n      <\/div>\n      <div class=\"vc-diagram\">\n        <svg id=\"vc-svg1\" width=\"80\" height=\"80\"><\/svg>\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-vector-box\">\n      <div class=\"vc-vector-label\">Vector B<\/div>\n      <div class=\"vc-fields\">\n        <div class=\"vc-field\">\n          <label class=\"vc-field-label\">Mass, g<\/label>\n          <input type=\"number\" id=\"vc-mass2\" value=\"8\" step=\"0.1\" min=\"0\">\n        <\/div>\n        <div class=\"vc-field\">\n          <label class=\"vc-field-label\">Angle, deg<\/label>\n          <input type=\"number\" id=\"vc-angle2\" value=\"180\" step=\"1\">\n        <\/div>\n      <\/div>\n      <div class=\"vc-diagram\">\n        <svg id=\"vc-svg2\" width=\"80\" height=\"80\"><\/svg>\n      <\/div>\n    <\/div>\n  <\/div>\n\n  <div class=\"vc-operations\">\n    <div class=\"vc-operations-label\">Operation<\/div>\n    <div class=\"vc-ops-grid\">\n      <button class=\"vc-op-btn active\" data-op=\"add\">\n        <div class=\"vc-op-icon\">+<\/div>\n        <div class=\"vc-op-name\">Add<\/div>\n      <\/button>\n      <button class=\"vc-op-btn\" data-op=\"subtract\">\n        <div class=\"vc-op-icon\">\u2212<\/div>\n        <div class=\"vc-op-name\">Subtract<\/div>\n      <\/button>\n      <button class=\"vc-op-btn\" data-op=\"opposite\">\n        <div class=\"vc-op-icon\">\u00b1180\u00b0<\/div>\n        <div class=\"vc-op-name\">Opposite<\/div>\n      <\/button>\n      <button class=\"vc-op-btn\" data-op=\"scale\">\n        <div class=\"vc-op-icon\">k\u00d7<\/div>\n        <div class=\"vc-op-name\">Scale<\/div>\n      <\/button>\n      <button class=\"vc-op-btn\" data-op=\"cartesian\">\n        <div class=\"vc-op-icon\">\u2192<\/div>\n        <div class=\"vc-op-name\">X, Y<\/div>\n      <\/button>\n    <\/div>\n    <div class=\"vc-scalar-row\" id=\"vc-scalar-row\">\n      <label>Multiplier k:<\/label>\n      <input type=\"number\" id=\"vc-scalar\" value=\"2\" step=\"0.1\">\n    <\/div>\n  <\/div>\n\n  <button class=\"vc-calc-btn\" id=\"vc-calc-btn\">Calculate<\/button>\n\n  <div class=\"vc-result\" id=\"vc-result\">\n    <div class=\"vc-result-label\" id=\"vc-result-label\"><\/div>\n    <div class=\"vc-result-values\" id=\"vc-result-values\"><\/div>\n    <div class=\"vc-result-cartesian\" id=\"vc-result-cartesian\"><\/div>\n    <div class=\"vc-result-note\" id=\"vc-result-note\"><\/div>\n    <div class=\"vc-result-diagram\" id=\"vc-result-diagram\"><\/div>\n  <\/div>\n\n  <button class=\"vc-help-toggle\" id=\"vc-help-toggle\">\n    <span>How this calculator works<\/span>\n    <span class=\"vc-help-icon\" id=\"vc-help-icon\">+<\/span>\n  <\/button>\n\n  <div class=\"vc-help-content\" id=\"vc-help-content\">\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">What is this calculator for?<\/div>\n      <p class=\"vc-help-text\">\n        This calculator performs vector operations using polar coordinates (magnitude and angle). \n        It is designed for rotor balancing applications where imbalance is measured as a mass \n        at a specific angular position. The calculator helps combine multiple imbalance readings, \n        determine correction weight placement, and convert between coordinate systems.\n      <\/p>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Input format<\/div>\n      <p class=\"vc-help-text\">\n        Each vector is defined by two values: mass (in grams or arbitrary units) and angle \n        (in degrees from 0 to 360). The reference angle 0\u00b0 points upward (12 o'clock position), \n        with angles increasing clockwise. This matches the convention used by most balancing \n        instruments where the phase reference is typically marked at the top of the rotor.\n      <\/p>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Operations<\/div>\n      <ul class=\"vc-help-list\">\n        <li><strong>Addition (+)<\/strong> \u2014 Combines two vectors into a single resultant vector. Use this when you need to find the total imbalance from multiple sources, or to combine two correction weights into one.<\/li>\n        <li><strong>Subtraction (\u2212)<\/strong> \u2014 Calculates the difference between two vectors (A minus B). Useful for determining residual imbalance after a correction.<\/li>\n        <li><strong>Opposite (\u00b1180\u00b0)<\/strong> \u2014 Adds 180\u00b0 to the angle of vector A. This gives you the position where the correction weight should be placed.<\/li>\n        <li><strong>Scale (k\u00d7)<\/strong> \u2014 Multiplies the mass by coefficient k. Essential when recalculating correction mass for a different mounting radius: m2 = m1 \u00d7 (r1 \/ r2).<\/li>\n        <li><strong>Cartesian (X, Y)<\/strong> \u2014 Converts polar coordinates to Cartesian: X = m \u00d7 cos(angle), Y = m \u00d7 sin(angle).<\/li>\n      <\/ul>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0985\u09cd\u09af\u09be\u09aa\u09cd\u09b2\u09bf\u0995\u09c7\u09b6\u09a8<\/div>\n      <ul class=\"vc-help-list\">\n        <li><strong>\u098f\u0995\u0995-\u09b8\u09ae\u09a4\u09b2 \u09ad\u09be\u09b0\u09b8\u09be\u09ae\u09cd\u09af:<\/strong> Measure imbalance, use Opposite function to find correction angle, install weight and verify.<\/li>\n        <li><strong>Combining weights:<\/strong> Replace two installed correction weights with a single equivalent weight using Addition.<\/li>\n        <li><strong>Radius conversion:<\/strong> Use Scale to recalculate mass when moving correction weight to a different radius.<\/li>\n        <li><strong>Split weights:<\/strong> When exact angle is not accessible, distribute correction mass to two adjacent blades.<\/li>\n      <\/ul>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Example 1: Finding correction weight position<\/div>\n      <div class=\"vc-help-example\">\n        A balancing instrument shows imbalance of <strong>15 grams at 72\u00b0<\/strong>.<br><br>\n        Enter Vector A: Mass = 15, Angle = 72<br>\n        Select <strong>Opposite (\u00b1180\u00b0)<\/strong> and click Calculate.<br><br>\n        Result: <strong>15 grams at 252\u00b0<\/strong><br><br>\n        Install a 15-gram correction weight at the 252\u00b0 position to compensate for the imbalance.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Example 2: Combining two weights into one<\/div>\n      <div class=\"vc-help-example\">\n        After several balancing iterations, you have two correction weights installed on the rotor: \n        <strong>5 grams at 30\u00b0<\/strong> and <strong>8 grams at 75\u00b0<\/strong>. \n        You want to replace them with a single weight.<br><br>\n        Enter Vector A: Mass = 5, Angle = 30<br>\n        Enter Vector B: Mass = 8, Angle = 75<br>\n        Select <strong>Addition (+)<\/strong> and click Calculate.<br><br>\n        Result: <strong>12.05 grams at 57.9\u00b0<\/strong><br><br>\n        Remove both weights and install one 12-gram weight at approximately 58\u00b0. \n        This single weight produces the same balancing effect as the original two weights combined.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Example 3: Changing correction radius<\/div>\n      <div class=\"vc-help-example\">\n        The balancing system calculated a correction of <strong>20 grams<\/strong> for a radius of <strong>100 mm<\/strong>. \n        However, you need to install the weight at a radius of <strong>80 mm<\/strong> due to space constraints.<br><br>\n        Since the balancing effect depends on the product of mass and radius (m \u00d7 r = const), \n        you need to recalculate: k = 100 \/ 80 = 1.25<br><br>\n        Enter Vector A: Mass = 20, Angle = (your correction angle)<br>\n        Set multiplier k = 1.25<br>\n        Select <strong>Scale (k\u00d7)<\/strong> and click Calculate.<br><br>\n        Result: <strong>25 grams<\/strong> at the same angle<br><br>\n        At the smaller radius of 80 mm, you need 25 grams instead of 20 grams to achieve the same correction.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Example 4: Splitting weight between two blades<\/div>\n      <div class=\"vc-help-example\">\n        The required correction is <strong>10 grams at 110\u00b0<\/strong>, but you can only attach weights \n        to fan blades located at <strong>90\u00b0<\/strong> and <strong>126\u00b0<\/strong> (5 blades, 36\u00b0 apart).<br><br>\n        The correction angle 110\u00b0 lies between these two blades. To find how much weight goes on each blade, \n        use the lever rule based on angular distances:<br><br>\n        Distance from 110\u00b0 to blade at 90\u00b0 = 20\u00b0<br>\n        Distance from 110\u00b0 to blade at 126\u00b0 = 16\u00b0<br>\n        Total angular span = 36\u00b0<br><br>\n        Weight on 90\u00b0 blade: 10 \u00d7 (16 \/ 36) = <strong>4.44 g<\/strong><br>\n        Weight on 126\u00b0 blade: 10 \u00d7 (20 \/ 36) = <strong>5.56 g<\/strong><br><br>\n        To verify, use Addition:<br>\n        Vector A: Mass = 4.44, Angle = 90<br>\n        Vector B: Mass = 5.56, Angle = 126<br>\n        Result: <strong>10 grams at 110\u00b0<\/strong> \u2014 matches the original requirement.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-formulas\">\n        <div class=\"vc-help-heading\">Formulas<\/div>\n        Polar to Cartesian: X = m \u00d7 cos(a), Y = m \u00d7 sin(a)<br>\n        Cartesian to Polar: m = sqrt(X\u00b2 + Y\u00b2), a = atan2(Y, X)<br>\n        Radius correction: m2 = m1 \u00d7 (r1 \/ r2)<br>\n        Split weights: m1 = M \u00d7 (\u03b2 \/ \u03b8), m2 = M \u00d7 (\u03b1 \/ \u03b8), where \u03b1 and \u03b2 are angular distances to each blade, \u03b8 = \u03b1 + \u03b2\n      <\/div>\n    <\/div>\n  <\/div>\n<\/div>\n\n<script>\n(function() {\n  let operation = 'add';\n\n  const mass1 = document.getElementById('vc-mass1');\n  const angle1 = document.getElementById('vc-angle1');\n  const mass2 = document.getElementById('vc-mass2');\n  const angle2 = document.getElementById('vc-angle2');\n  const scalarInput = document.getElementById('vc-scalar');\n  const scalarRow = document.getElementById('vc-scalar-row');\n  const calcBtn = document.getElementById('vc-calc-btn');\n  const resultDiv = document.getElementById('vc-result');\n  const resultLabel = document.getElementById('vc-result-label');\n  const resultValues = document.getElementById('vc-result-values');\n  const resultCartesian = document.getElementById('vc-result-cartesian');\n  const resultNote = document.getElementById('vc-result-note');\n  const resultDiagram = document.getElementById('vc-result-diagram');\n  const helpToggle = document.getElementById('vc-help-toggle');\n  const helpContent = document.getElementById('vc-help-content');\n  const helpIcon = document.getElementById('vc-help-icon');\n  const opBtns = document.querySelectorAll('.vc-op-btn');\n\n  function toCartesian(m, angleDeg) {\n    const rad = angleDeg * Math.PI \/ 180;\n    return { x: m * Math.cos(rad), y: m * Math.sin(rad) };\n  }\n\n  function toPolar(x, y) {\n    const m = Math.sqrt(x * x + y * y);\n    let a = Math.atan2(y, x) * 180 \/ Math.PI;\n    if (a < 0) a += 360;\n    return { mass: m, angle: a };\n  }\n\n  function formatNum(n, dec) {\n    dec = dec || 2;\n    if (Math.abs(n) < 0.0001) return '0';\n    return parseFloat(n.toFixed(dec)).toString();\n  }\n\n  function normalizeAngle(a) {\n    while (a < 0) a += 360;\n    while (a >= 360) a -= 360;\n    return a;\n  }\n\n  function drawVector(svgId, m, a, color) {\n    const svg = document.getElementById(svgId);\n    const cx = 40, cy = 40, r = 25;\n    const rad = (a - 90) * Math.PI \/ 180;\n    const ex = cx + r * Math.cos(rad);\n    const ey = cy + r * Math.sin(rad);\n    \n    svg.innerHTML = `\n      <circle cx=\"${cx}\" cy=\"${cy}\" r=\"30\" fill=\"none\" stroke=\"#bfdbfe\" stroke-width=\"1\"\/>\n      <line x1=\"${cx}\" y1=\"${cy}\" x2=\"${cx}\" y2=\"10\" stroke=\"#93c5fd\" stroke-width=\"1\"\/>\n      <text x=\"43\" y=\"9\" font-size=\"8\" fill=\"#3b82f6\">0<\/text>\n      ${m > 0 ? `<line x1=\"${cx}\" y1=\"${cy}\" x2=\"${ex}\" y2=\"${ey}\" stroke=\"${color}\" stroke-width=\"2\"\/>\n      <circle cx=\"${ex}\" cy=\"${ey}\" r=\"3\" fill=\"${color}\"\/>` : ''}\n      <circle cx=\"${cx}\" cy=\"${cy}\" r=\"2\" fill=\"#1e3a8a\"\/>\n    `;\n  }\n\n  function drawResultVector(m, a) {\n    const cx = 50, cy = 50, r = 35;\n    const rad = (a - 90) * Math.PI \/ 180;\n    const ex = cx + r * Math.cos(rad);\n    const ey = cy + r * Math.sin(rad);\n    \n    resultDiagram.innerHTML = `\n      <svg width=\"100\" height=\"100\" style=\"background:#eff6ff;border-radius:4px;\">\n        <circle cx=\"${cx}\" cy=\"${cy}\" r=\"40\" fill=\"none\" stroke=\"#bfdbfe\" stroke-width=\"1\"\/>\n        <line x1=\"${cx}\" y1=\"${cy}\" x2=\"${cx}\" y2=\"10\" stroke=\"#93c5fd\" stroke-width=\"1\"\/>\n        <line x1=\"${cx}\" y1=\"${cy}\" x2=\"90\" y2=\"${cy}\" stroke=\"#93c5fd\" stroke-width=\"1\"\/>\n        <text x=\"52\" y=\"8\" font-size=\"8\" fill=\"#3b82f6\">0<\/text>\n        <text x=\"92\" y=\"53\" font-size=\"8\" fill=\"#3b82f6\">90<\/text>\n        ${m > 0 ? `<line x1=\"${cx}\" y1=\"${cy}\" x2=\"${ex}\" y2=\"${ey}\" stroke=\"#1d4ed8\" stroke-width=\"2\"\/>\n        <circle cx=\"${ex}\" cy=\"${ey}\" r=\"4\" fill=\"#1d4ed8\"\/>` : ''}\n        <circle cx=\"${cx}\" cy=\"${cy}\" r=\"2\" fill=\"#1e3a8a\"\/>\n      <\/svg>\n    `;\n  }\n\n  function updateDiagrams() {\n    const m1 = parseFloat(mass1.value) || 0;\n    const a1 = normalizeAngle(parseFloat(angle1.value) || 0);\n    const m2 = parseFloat(mass2.value) || 0;\n    const a2 = normalizeAngle(parseFloat(angle2.value) || 0);\n    drawVector('vc-svg1', m1, a1, '#1d4ed8');\n    drawVector('vc-svg2', m2, a2, '#1d4ed8');\n  }\n\n  function calculate() {\n    const m1 = parseFloat(mass1.value) || 0;\n    const a1 = normalizeAngle(parseFloat(angle1.value) || 0);\n    const m2 = parseFloat(mass2.value) || 0;\n    const a2 = normalizeAngle(parseFloat(angle2.value) || 0);\n    const k = parseFloat(scalarInput.value) || 1;\n\n    const c1 = toCartesian(m1, a1);\n    const c2 = toCartesian(m2, a2);\n\n    let label = '', mass = 0, angle = 0, cart = null, note = '', isCartesian = false;\n\n    switch (operation) {\n      case 'add':\n        const sumX = c1.x + c2.x;\n        const sumY = c1.y + c2.y;\n        const sumP = toPolar(sumX, sumY);\n        label = 'Sum of vectors A + B';\n        mass = sumP.mass;\n        angle = sumP.angle;\n        cart = { x: sumX, y: sumY };\n        break;\n      case 'subtract':\n        const diffX = c1.x - c2.x;\n        const diffY = c1.y - c2.y;\n        const diffP = toPolar(diffX, diffY);\n        label = 'Difference A \u2212 B';\n        mass = diffP.mass;\n        angle = diffP.angle;\n        cart = { x: diffX, y: diffY };\n        break;\n      case 'opposite':\n        label = 'Correction weight position for vector A';\n        mass = m1;\n        angle = normalizeAngle(a1 + 180);\n        note = 'Place the correction mass at this angle to compensate for imbalance';\n        break;\n      case 'scale':\n        label = 'Vector A \u00d7 ' + k;\n        mass = m1 * k;\n        angle = a1;\n        break;\n      case 'cartesian':\n        label = 'Cartesian coordinates of vector A';\n        isCartesian = true;\n        cart = c1;\n        break;\n    }\n\n    resultDiv.classList.add('visible');\n    resultLabel.textContent = label;\n\n    if (isCartesian) {\n      resultValues.innerHTML = `\n        <div class=\"vc-result-item\">\n          <div class=\"vc-result-num\">X = ${formatNum(cart.x)}<\/div>\n        <\/div>\n        <div class=\"vc-result-item\">\n          <div class=\"vc-result-num\">Y = ${formatNum(cart.y)}<\/div>\n        <\/div>\n      `;\n      resultCartesian.style.display = 'none';\n      resultNote.style.display = 'none';\n      resultDiagram.innerHTML = '';\n    } else {\n      resultValues.innerHTML = `\n        <div class=\"vc-result-item\">\n          <div class=\"vc-result-num\">${formatNum(mass)}<\/div>\n          <div class=\"vc-result-unit\">grams<\/div>\n        <\/div>\n        <div class=\"vc-result-sep\">\/<\/div>\n        <div class=\"vc-result-item\">\n          <div class=\"vc-result-num\">${formatNum(angle, 1)}\u00b0<\/div>\n          <div class=\"vc-result-unit\">angle<\/div>\n        <\/div>\n      `;\n\n      if (cart) {\n        resultCartesian.textContent = 'X = ' + formatNum(cart.x) + ', Y = ' + formatNum(cart.y);\n        resultCartesian.style.display = 'block';\n      } else {\n        resultCartesian.style.display = 'none';\n      }\n\n      if (note) {\n        resultNote.textContent = note;\n        resultNote.style.display = 'block';\n      } else {\n        resultNote.style.display = 'none';\n      }\n\n      drawResultVector(mass, angle);\n    }\n  }\n\n  opBtns.forEach(function(btn) {\n    btn.addEventListener('click', function() {\n      opBtns.forEach(function(b) { b.classList.remove('active'); });\n      btn.classList.add('active');\n      operation = btn.getAttribute('data-op');\n      if (operation === 'scale') {\n        scalarRow.classList.add('visible');\n      } else {\n        scalarRow.classList.remove('visible');\n      }\n    });\n  });\n\n  calcBtn.addEventListener('click', calculate);\n\n  helpToggle.addEventListener('click', function() {\n    if (helpContent.classList.contains('visible')) {\n      helpContent.classList.remove('visible');\n      helpIcon.textContent = '+';\n    } else {\n      helpContent.classList.add('visible');\n      helpIcon.textContent = '\u2212';\n    }\n  });\n\n  mass1.addEventListener('input', updateDiagrams);\n  angle1.addEventListener('input', updateDiagrams);\n  mass2.addEventListener('input', updateDiagrams);\n  angle2.addEventListener('input', updateDiagrams);\n\n  updateDiagrams();\n})();\n<\/script>\n\n<\/body>\n<\/html><\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>Vector Calculator Vector Calculator Vector A Mass, g Angle, deg Vector B Mass, g Angle, deg Operation + Add \u2212 Subtract \u00b1180\u00b0 Opposite k\u00d7 Scale \u2192 X, Y Multiplier k: Calculate How this calculator works + What is this calculator for? This calculator performs vector operations using polar coordinates (magnitude [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":20918,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ai_generated_summary":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-20916","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/posts\/20916","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/comments?post=20916"}],"version-history":[{"count":5,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/posts\/20916\/revisions"}],"predecessor-version":[{"id":20927,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/posts\/20916\/revisions\/20927"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/media\/20918"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/media?parent=20916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/categories?post=20916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/tags?post=20916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}