{"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\/sw\/uncategorized\/online-vector-calculator-for-rotor-balancing\/","title":{"rendered":"Kikokotoo cha Vekta cha Mtandaoni kwa Kusawazisha Rotor"},"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\">Kikokotoo cha Vekta<\/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    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center;\n      gap: 12px;\n    }\n    .vc-scalar-row.visible {\n      display: flex;\n    }\n    .vc-scalar-row label {\n      font-size: 14px;\n      color: #1d4ed8;\n    }\n    .vc-scalar-row input {\n      width: 80px;\n      padding: 8px;\n      border: 1px solid #bfdbfe;\n      border-radius: 4px;\n      text-align: center;\n      font-family: monospace;\n    }\n    .vc-calc-btn {\n      width: 100%;\n      padding: 14px;\n      background: #2563eb;\n      color: #fff;\n      font-size: 16px;\n      font-weight: 600;\n      border: none;\n      border-radius: 8px;\n      cursor: pointer;\n      transition: background 0.2s;\n    }\n    .vc-calc-btn:hover {\n      background: #1d4ed8;\n    }\n    .vc-result {\n      display: none;\n      margin-top: 20px;\n      padding: 20px;\n      background: #fff;\n      border-radius: 8px;\n      border: 2px solid #93c5fd;\n    }\n    .vc-result.visible {\n      display: block;\n    }\n    .vc-result-label {\n      font-size: 14px;\n      color: #2563eb;\n      font-weight: 500;\n      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\">Kikokotoo cha Vekta<\/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\">Mizani<\/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>Jinsi kikokotoo hiki kinavyofanya kazi<\/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\">Kikokotoo hiki ni kwa ajili ya nini?<\/div>\n      <p class=\"vc-help-text\">\n        Kikokotoo hiki hufanya shughuli za vekta kwa kutumia kuratibu za polar (ukubwa na pembe). \n        Kimeundwa kwa matumizi ya kusawazisha rotor ambapo usawa mbaya hupimwa kama uzito \n        katika nafasi maalum ya angular. Kikokotoo husaidia kuchanganya masomeo mengi ya usawa mbaya, \n        kubainisha uwekaji wa uzito wa urekebishaji, na kubadilisha kati ya mifumo ya kuratibu.\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        Kila vekta inafafanuliwa na thamani mbili: uzito (kwa gramu au vitengo vya kiholela) na pembe \n        (kwa digrii kutoka 0 hadi 360). Pembe ya rejeleo ya 0\u00b0 inaelekeza juu (nafasi ya saa 12), \n        huku pembe zikiongezeka kwa mwelekeo wa saa. Hii inalingana na mkataba unaotumiwa na \n        vyombo vingi vya kusawazisha ambapo rejeleo la awamu kawaida huwekwa alama juu ya 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 Inachanganya vekta mbili kuwa vekta moja ya matokeo. Tumia hii unapohitaji kupata usawa mbaya wa jumla kutoka vyanzo vingi, au kuchanganya uzito miwili ya urekebishaji kuwa mmoja.<\/li>\n        <li><strong>Utofauti (\u2212)<\/strong> \u2014 Inakokotoa tofauti kati ya vekta mbili (A minus B). Inafaa kwa kubainisha usawa mbaya uliobaki baada ya urekebishaji.<\/li>\n        <li><strong>Opposite (\u00b1180\u00b0)<\/strong> \u2014 Inaongeza 180\u00b0 kwenye pembe ya vekta A. Hii inakupa nafasi ambapo uzito wa urekebishaji unapaswa kuwekwa.<\/li>\n        <li><strong>Scale (k\u00d7)<\/strong> \u2014 Inazidisha uzito kwa mgawo k. Muhimu wakati wa kukokotoa tena uzito wa urekebishaji kwa radius tofauti ya uwekaji: 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\">Matumizi ya kawaida<\/div>\n      <ul class=\"vc-help-list\">\n        <li><strong>Usawa wa uso mmoja:<\/strong> Pima usawa mbaya, tumia kazi ya Kinyume kupata pembe ya urekebishaji, weka uzito na uthibitishe.<\/li>\n        <li><strong>Kuchanganya uzito:<\/strong> Badilisha uzito miwili ya urekebishaji iliyowekwa na uzito mmoja sawa kwa kutumia Uongezaji.<\/li>\n        <li><strong>Ubadilishaji wa radi:<\/strong> Tumia Kiwango kurekebisha uzito unapohama uzito wa marekebisho hadi radi tofauti.<\/li>\n        <li><strong>Split weights:<\/strong> Wakati pembe sahihi haifikiwi, gawanya misa ya marekebisho kwenye mapande mawili ya karibu.<\/li>\n      <\/ul>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Mfano wa 1: Kutafuta nafasi ya uzito wa marekebisho<\/div>\n      <div class=\"vc-help-example\">\n        Chombo cha usawazishaji kinaonyesha kutosawazika kwa <strong>gramu 15 kwa pembe ya 72\u00b0<\/strong>.<br><br>\n        Enter Vector A: Mass = 15, Angle = 72<br>\n        Select <strong>Opposite (\u00b1180\u00b0)<\/strong> na bonyeza Hesabu.<br><br>\n        Result: <strong>gramu 15 kwa pembe ya 252\u00b0<\/strong><br><br>\n        Weka uzito wa marekebisho wa gramu 15 kwenye nafasi ya 252\u00b0 ili kulipa fidia kutosawazika.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Mfano wa 2: Kuchanganya uzito miwili kuwa mmoja<\/div>\n      <div class=\"vc-help-example\">\n        Baada ya mizunguko kadhaa ya usawazishaji, una uzito miwili ya marekebisho imewekwa kwenye rotor: \n        <strong>5 grams at 30\u00b0<\/strong> and <strong>8 grams at 75\u00b0<\/strong>. \n        Unataka kuyabadilisha kwa uzito mmoja.<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> na bonyeza Hesabu.<br><br>\n        Result: <strong>gramu 12.05 kwa pembe ya 57.9\u00b0<\/strong><br><br>\n        Ondoa uzito wote miwili na uweke uzito mmoja wa gramu 12 takriban kwa pembe ya 58\u00b0. \n        Uzito huu mmoja hutoa athari sawa ya usawazishaji kama uzito wote miwili wa awali ukijumuishwa.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Mfano wa 3: Kubadilisha radi ya marekebisho<\/div>\n      <div class=\"vc-help-example\">\n        Mfumo wa usawazishaji uliohesabu marekebisho ya <strong>20 grams<\/strong> kwa radi ya <strong>100 mm<\/strong>. \n        Hata hivyo, unahitaji kuweka uzito kwa radi ya <strong>80 mm<\/strong> kwa sababu ya ukosefu wa nafasi.<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        Weka kizidishi k = 1.25<br>\n        Select <strong>Scale (k\u00d7)<\/strong> na bonyeza Hesabu.<br><br>\n        Result: <strong>25 grams<\/strong> kwa pembe sawa<br><br>\n        Kwa radius ndogo ya mm 80, unahitaji gramu 25 badala ya gramu 20 ili kufikia urekebishaji sawa.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Mfano wa 4: Kugawanya uzito kati ya maeneo mawili ya usawa<\/div>\n      <div class=\"vc-help-example\">\n        Urekebishaji unaohitajika ni <strong>gramu 10 kwa pembe ya 110\u00b0<\/strong>, lakini unaweza kuambatisha uzito kwenye mapande ya feni yaliyopo kwenye <strong>90\u00b0<\/strong> and <strong>126\u00b0<\/strong> (mapande 5, yaliyotengwa kwa 36\u00b0).<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 exact trigonometric split (a simple proportional split of the mass by angle is only an approximation and under-corrects the balance mass by several percent):<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        Angle between the blades: \u03b1 + \u03b2 = 36\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        Ili kuthibitisha, tumia Mkusanyiko:<br>\n        Vector A: Mass = 4.69, Angle = 90<br>\n        Vector B: Mass = 5.82, Angle = 126<br>\n        Result: <strong>gramu 10 kwa pembe ya 110\u00b0<\/strong> \u2014 inalingana na mahitaji ya awali.\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        Urekebishaji wa radius: 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\/sw\/wp-json\/wp\/v2\/posts\/20916","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/comments?post=20916"}],"version-history":[{"count":5,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/posts\/20916\/revisions"}],"predecessor-version":[{"id":20927,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/posts\/20916\/revisions\/20927"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/media\/20918"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/media?parent=20916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/categories?post=20916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/tags?post=20916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}