{"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\/da\/uncategorized\/online-vector-calculator-for-rotor-balancing\/","title":{"rendered":"Online vektorberegner til rotorbalancering"},"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\">Vektorberegner<\/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  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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\">Vektorberegner<\/h1>\n\n  <div class=\"vc-inputs\">\n    <div class=\"vc-vector-box\">\n      <div class=\"vc-vector-label\">Vektor A<\/div>\n      <div class=\"vc-fields\">\n        <div class=\"vc-field\">\n          <label class=\"vc-field-label\">Masse, 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\">Vinkel, grader<\/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\">Vektor B<\/div>\n      <div class=\"vc-fields\">\n        <div class=\"vc-field\">\n          <label class=\"vc-field-label\">Masse, 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\">Vinkel, grader<\/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\">Drift<\/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\">Tilf\u00f8j<\/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\">Tr\u00e6kke fra<\/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\">Modsat<\/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\">Skala<\/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>Multiplikator 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\">Beregn<\/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>S\u00e5dan fungerer denne lommeregner<\/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\">Hvad er denne lommeregner til?<\/div>\n      <p class=\"vc-help-text\">\n        Denne lommeregner udf\u00f8rer vektoroperationer ved hj\u00e6lp af pol\u00e6re koordinater (st\u00f8rrelse og vinkel). Den er designet til rotorbalanceringsapplikationer, hvor ubalance m\u00e5les som en masse i en specifik vinkelposition. Lommeregneren hj\u00e6lper med at kombinere flere ubalanceafl\u00e6sninger, bestemme placeringen af korrektionsv\u00e6gte og konvertere mellem koordinatsystemer.\n      <\/p>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Inputformat<\/div>\n      <p class=\"vc-help-text\">\n        Hver vektor er defineret af to v\u00e6rdier: masse (i gram eller vilk\u00e5rlige enheder) og vinkel (i grader fra 0 til 360). Referencevinklen 0\u00b0 peger opad (klokken 12-positionen), hvor vinklerne stiger med uret. Dette stemmer overens med den konvention, der anvendes af de fleste afbalanceringsinstrumenter, hvor fasereferencen typisk er markeret \u00f8verst p\u00e5 rotoren.\n      <\/p>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Operationer<\/div>\n      <ul class=\"vc-help-list\">\n        <li><strong>Addition (+)<\/strong> \u2014 Kombinerer to vektorer til en enkelt resulterende vektor. Brug dette, n\u00e5r du skal finde den samlede ubalance fra flere kilder eller kombinere to korrektionsv\u00e6gte til \u00e9n.<\/li>\n        <li><strong>Subtraktion (\u2212)<\/strong> \u2014 Beregner forskellen mellem to vektorer (A minus B). Nyttig til at bestemme den resterende ubalance efter en korrektion.<\/li>\n        <li><strong>Modsat (\u00b1180\u00b0)<\/strong> \u2014 L\u00e6gger 180\u00b0 til vinklen p\u00e5 vektor A. Dette giver dig den position, hvor korrektionsloddet skal placeres.<\/li>\n        <li><strong>Skala (k\u00d7)<\/strong> \u2014 Multiplicerer massen med koefficienten k. Vigtigt ved genberegning af korrektionsmasse for en anden monteringsradius: m2 = m1 \u00d7 (r1 \/ r2).<\/li>\n        <li><strong>Kartesisk (X, Y)<\/strong> \u2014 Konverterer pol\u00e6re koordinater til kartesiske: X = m \u00d7 cos(vinkel), Y = m \u00d7 sin(vinkel).<\/li>\n      <\/ul>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Typiske anvendelser<\/div>\n      <ul class=\"vc-help-list\">\n        <li><strong>Enkeltplansbalancering:<\/strong> M\u00e5l ubalance, brug funktionen Modsatrettet til at finde korrektionsvinklen, monter v\u00e6gten og verificer.<\/li>\n        <li><strong>Kombinering af v\u00e6gte:<\/strong> Erstat to installerede korrektionslodder med en enkelt tilsvarende v\u00e6gt ved hj\u00e6lp af addition.<\/li>\n        <li><strong>Radiuskonvertering:<\/strong> Brug skala til at genberegne massen, n\u00e5r korrektionsv\u00e6gten flyttes til en anden radius.<\/li>\n        <li><strong>Opdelte v\u00e6gte:<\/strong> N\u00e5r den n\u00f8jagtige vinkel ikke er tilg\u00e6ngelig, fordeles korrektionsmassen p\u00e5 to tilst\u00f8dende klinger.<\/li>\n      <\/ul>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Eksempel 1: Find korrektionsv\u00e6gtens position<\/div>\n      <div class=\"vc-help-example\">\n        Et afbalanceringsinstrument viser ubalance i <strong>15 gram ved 72\u00b0<\/strong>.<br><br>\n        Indtast vektor A: Masse = 15, Vinkel = 72<br>\n        V\u00e6lge <strong>Modsat (\u00b1180\u00b0)<\/strong> og klik p\u00e5 Beregn.<br><br>\n        Resultat: <strong>15 gram ved 252\u00b0<\/strong><br><br>\n        Installer en korrektionsv\u00e6gt p\u00e5 15 gram i 252\u00b0-positionen for at kompensere for ubalancen.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Eksempel 2: Kombination af to v\u00e6gte til \u00e9n<\/div>\n      <div class=\"vc-help-example\">\n        Efter flere afbalancerings-iterationer har du to korrektionsv\u00e6gte installeret p\u00e5 rotoren: \n        <strong>5 gram ved 30\u00b0<\/strong> og <strong>8 gram ved 75\u00b0<\/strong>. Du vil erstatte dem med en enkelt v\u00e6gt.<br><br>\n        Indtast vektor A: Masse = 5, Vinkel = 30<br>\n        Indtast vektor B: Masse = 8, Vinkel = 75<br>\n        V\u00e6lge <strong>Addition (+)<\/strong> og klik p\u00e5 Beregn.<br><br>\n        Resultat: <strong>12,05 gram ved 57,9\u00b0<\/strong><br><br>\n        Fjern begge lodder, og monter en 12-grams lodde i en vinkel p\u00e5 cirka 58\u00b0. Denne ene lodde giver den samme balancerende effekt som de to oprindelige lodder tilsammen.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Eksempel 3: \u00c6ndring af korrektionsradius<\/div>\n      <div class=\"vc-help-example\">\n        Balanceringssystemet beregnede en korrektion p\u00e5 <strong>20 gram<\/strong> for en radius p\u00e5 <strong>100 mm<\/strong>. Du skal dog installere v\u00e6gten i en radius af <strong>80 mm<\/strong> p\u00e5 grund af pladsbegr\u00e6nsninger.<br><br>\n        Da den afbalancerende effekt afh\u00e6nger af produktet af masse og radius (m \u00d7 r = konstant), skal du genberegne: k = 100 \/ 80 = 1,25<br><br>\n        Indtast vektor A: Masse = 20, Vinkel = (din korrektionsvinkel)<br>\n        S\u00e6t multiplikatoren k = 1,25<br>\n        V\u00e6lge <strong>Skala (k\u00d7)<\/strong> og klik p\u00e5 Beregn.<br><br>\n        Resultat: <strong>25 gram<\/strong> i samme vinkel<br><br>\n        Ved den mindre radius p\u00e5 80 mm skal du bruge 25 gram i stedet for 20 gram for at opn\u00e5 den samme korrektion.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Eksempel 4: Fordeling af v\u00e6gt mellem to klinger<\/div>\n      <div class=\"vc-help-example\">\n        Den n\u00f8dvendige korrektion er <strong>10 gram ved 110\u00b0<\/strong>, men du kan kun fastg\u00f8re v\u00e6gte til ventilatorblade placeret ved <strong>90\u00b0<\/strong> og <strong>126\u00b0<\/strong> (5 blade, 36\u00b0 fra hinanden).<br><br>\n        Korrektionsvinklen 110\u0412\u00b0 ligger mellem disse to skovle. For at finde ud af, hvor meget v\u0413\u00a6gt der skal p\u0413\u0490 hver skovl, \n        brug den n\u0413\u0451jagtige trigonometriske opdeling (en simpel proportional opdeling af massen efter vinkel er kun en tiln\u0413\u00a6rmelse og underkorrigerer afbalanceringsmassen med flere procent):<br><br>\n        Angular distance to the blade at 90\u00b0: \u03b1 = 110\u00b0 \u2212 90\u00b0 = 20\u00b0<br>\n        Angular distance to the blade at 126\u00b0: \u03b2 = 126\u00b0 \u2212 110\u00b0 = 16\u00b0<br>\n        Vinklen mellem skovlene: \u041e\u00b1 + \u041e\u0406 = 36\u0412\u00b0<br><br>\n        Weight on 90\u00b0 blade: 10 \u00d7 sin(16\u00b0) \/ sin(36\u00b0) = <strong>4.69 g<\/strong><br>\n        Weight on 126\u00b0 blade: 10 \u00d7 sin(20\u00b0) \/ sin(36\u00b0) = <strong>5.82 g<\/strong><br><br>\n        For at verificere, brug Addition:<br>\n        Vector A: Mass = 4.69, Angle = 90<br>\n        Vector B: Mass = 5.82, Angle = 126<br>\n        Resultat: <strong>10 gram ved 110\u00b0<\/strong> \u2014 matcher det oprindelige krav.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-formulas\">\n        <div class=\"vc-help-heading\">Formler<\/div>\n        Pol\u00e6r til kartesisk: X = m \u00d7 cos(a), Y = m \u00d7 sin(a)<br>\n        Kartesisk til pol\u00e6r: m = sqrt(X\u00b2 + Y\u00b2), a = atan\u00b2(Y, X)<br>\n        Radiuskorrektion: m2 = m1 \u00d7 (r1 \/ r2)<br>\n        Split weights (exact): m1 = M \u00d7 sin(\u03b2) \/ sin(\u03b1 + \u03b2), m2 = M \u00d7 sin(\u03b1) \/ sin(\u03b1 + \u03b2), where \u03b1 is the angular distance from the correction angle to blade 1 and \u03b2 is the angular distance to blade 2\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\/da\/wp-json\/wp\/v2\/posts\/20916","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/comments?post=20916"}],"version-history":[{"count":5,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/posts\/20916\/revisions"}],"predecessor-version":[{"id":20927,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/posts\/20916\/revisions\/20927"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/media\/20918"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/media?parent=20916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/categories?post=20916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/tags?post=20916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}