{"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\/pl\/uncategorized\/online-vector-calculator-for-rotor-balancing\/","title":{"rendered":"Kalkulator wektor\u00f3w online do wywa\u017cania wirnika"},"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\">Kalkulator wektor\u00f3w<\/h3><div class=\"textwidget custom-html-widget\"><!DOCTYPE html>\n<html lang=\"en\">\n<head>\n  <meta charset=\"UTF-8\">\n  <meta name=\"viewport\" 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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   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A<\/div>\n      <div class=\"vc-fields\">\n        <div class=\"vc-field\">\n          <label class=\"vc-field-label\">Masa, 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\">K\u0105t, stopnie<\/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\">Wektor B<\/div>\n      <div class=\"vc-fields\">\n        <div class=\"vc-field\">\n          <label class=\"vc-field-label\">Masa, 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\">K\u0105t, stopnie<\/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\">Operacja<\/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\">Dodaj<\/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\">Odejmowa\u0107<\/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\">Naprzeciwko<\/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>Mno\u017cnik 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\">Oblicz<\/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>Jak dzia\u0142a ten kalkulator<\/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\">Do czego s\u0142u\u017cy ten kalkulator?<\/div>\n      <p class=\"vc-help-text\">\n        Ten kalkulator wykonuje operacje wektorowe za pomoc\u0105 wsp\u00f3\u0142rz\u0119dnych biegunowych (wielko\u015bci i k\u0105ta). Jest przeznaczony do zastosowa\u0144 zwi\u0105zanych z wywa\u017caniem wirnik\u00f3w, gdzie niewywa\u017cenie jest mierzone jako masa w okre\u015blonym po\u0142o\u017ceniu k\u0105towym. Kalkulator pomaga \u0142\u0105czy\u0107 wiele odczyt\u00f3w niewywa\u017cenia, okre\u015bla\u0107 po\u0142o\u017cenie ci\u0119\u017cark\u00f3w korekcyjnych i konwertowa\u0107 mi\u0119dzy uk\u0142adami wsp\u00f3\u0142rz\u0119dnych.\n      <\/p>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Format wej\u015bciowy<\/div>\n      <p class=\"vc-help-text\">\n        Ka\u017cdy wektor jest definiowany przez dwie warto\u015bci: mas\u0119 (w gramach lub jednostkach dowolnych) i k\u0105t (w stopniach od 0 do 360). K\u0105t odniesienia 0\u00b0 wskazuje w g\u00f3r\u0119 (pozycja godziny 12), a k\u0105ty rosn\u0105 zgodnie z ruchem wskaz\u00f3wek zegara. Jest to zgodne z konwencj\u0105 stosowan\u0105 w wi\u0119kszo\u015bci instrument\u00f3w wywa\u017caj\u0105cych, gdzie punkt odniesienia fazy jest zazwyczaj oznaczony na g\u00f3rze wirnika.\n      <\/p>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Operacje<\/div>\n      <ul class=\"vc-help-list\">\n        <li><strong>Dodawanie (+)<\/strong> \u2014 \u0141\u0105czy dwa wektory w jeden wektor wynikowy. U\u017cyj tego, gdy potrzebujesz znale\u017a\u0107 ca\u0142kowite niewywa\u017cenie z wielu \u017ar\u00f3de\u0142 lub po\u0142\u0105czy\u0107 dwa ci\u0119\u017carki korekcyjne w jeden.<\/li>\n        <li><strong>Odejmowanie (\u2212)<\/strong> \u2014 Oblicza r\u00f3\u017cnic\u0119 mi\u0119dzy dwoma wektorami (A minus B). Przydatne do okre\u015blania resztkowego niewywa\u017cenia po korekcie.<\/li>\n        <li><strong>Przeciwnie (\u00b1180\u00b0)<\/strong> \u2014 Dodaje 180\u00b0 do k\u0105ta wektora A. W ten spos\u00f3b okre\u015blasz po\u0142o\u017cenie, w kt\u00f3rym nale\u017cy umie\u015bci\u0107 ci\u0119\u017carek korekcyjny.<\/li>\n        <li><strong>Skala (k\u00d7)<\/strong> \u2014 Mno\u017cy mas\u0119 przez wsp\u00f3\u0142czynnik k. Istotne przy przeliczaniu masy korekcyjnej dla innego promienia mocowania: m2 = m1 \u00d7 (r1 \/ r2).<\/li>\n        <li><strong>Kartezja\u0144ski (X, Y)<\/strong> \u2014 Konwertuje wsp\u00f3\u0142rz\u0119dne biegunowe na kartezja\u0144skie: X = m \u00d7 cos(k\u0105t), Y = m \u00d7 sin(k\u0105t).<\/li>\n      <\/ul>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Typowe zastosowania<\/div>\n      <ul class=\"vc-help-list\">\n        <li><strong>Wywa\u017canie jednop\u0142aszczyznowe:<\/strong> Zmierz niewywa\u017cenie, u\u017cyj funkcji Odwrotno\u015b\u0107, aby znale\u017a\u0107 k\u0105t korekcji, zamontuj ci\u0119\u017carek i sprawd\u017a.<\/li>\n        <li><strong>\u0141\u0105czenie ci\u0119\u017car\u00f3w:<\/strong> Zast\u0105p dwa zainstalowane ci\u0119\u017carki korekcyjne jednym ci\u0119\u017carkiem r\u00f3wnowa\u017cnym, korzystaj\u0105c z funkcji dodawania.<\/li>\n        <li><strong>Konwersja promienia:<\/strong> U\u017cyj Skali do przeliczenia masy podczas przenoszenia ci\u0119\u017carka korekcyjnego do innego promienia.<\/li>\n        <li><strong>Podzielone ci\u0119\u017cary:<\/strong> Je\u015bli nie jest mo\u017cliwe uzyskanie dok\u0142adnego k\u0105ta, nale\u017cy rozprowadzi\u0107 mas\u0119 korekcyjn\u0105 na dw\u00f3ch s\u0105siednich ostrzach.<\/li>\n      <\/ul>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Przyk\u0142ad 1: Znajdowanie po\u0142o\u017cenia ci\u0119\u017carka korekcyjnego<\/div>\n      <div class=\"vc-help-example\">\n        Przyrz\u0105d do wywa\u017cania wskazuje niewywa\u017cenie <strong>15 gram\u00f3w w pozycji 72\u00b0<\/strong>.<br><br>\n        Wprowad\u017a wektor A: masa = 15, k\u0105t = 72<br>\n        Wybiera\u0107 <strong>Przeciwnie (\u00b1180\u00b0)<\/strong> i kliknij Oblicz.<br><br>\n        Wynik: <strong>15 gram\u00f3w w pozycji 252\u00b0<\/strong><br><br>\n        Aby zniwelowa\u0107 brak r\u00f3wnowagi, zamontuj 15-gramowy ci\u0119\u017carek korekcyjny w pozycji 252\u00b0.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Przyk\u0142ad 2: \u0141\u0105czenie dw\u00f3ch ci\u0119\u017cark\u00f3w w jeden<\/div>\n      <div class=\"vc-help-example\">\n        Po kilku iteracjach wywa\u017cania na wirniku zamontowano dwa ci\u0119\u017carki korekcyjne: \n        <strong>5 gram\u00f3w w temperaturze 30\u00b0<\/strong> oraz <strong>8 gram\u00f3w w temperaturze 75\u00b0<\/strong>. Chcesz je zast\u0105pi\u0107 pojedynczym ci\u0119\u017carkiem.<br><br>\n        Wprowad\u017a wektor A: masa = 5, k\u0105t = 30<br>\n        Wprowad\u017a wektor B: masa = 8, k\u0105t = 75<br>\n        Wybiera\u0107 <strong>Dodawanie (+)<\/strong> i kliknij Oblicz.<br><br>\n        Wynik: <strong>12,05 grama przy 57,9\u00b0<\/strong><br><br>\n        Zdejmij oba obci\u0105\u017cniki i zamontuj jeden 12-gramowy obci\u0105\u017cnik pod k\u0105tem oko\u0142o 58\u00b0. Ten pojedynczy obci\u0105\u017cnik zapewnia taki sam efekt wywa\u017cenia, jak dwa oryginalne obci\u0105\u017cniki razem wzi\u0119te.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Przyk\u0142ad 3: Zmiana promienia korekcji<\/div>\n      <div class=\"vc-help-example\">\n        Uk\u0142ad r\u00f3wnowa\u017c\u0105cy obliczy\u0142 korekt\u0119 <strong>20 gram\u00f3w<\/strong> dla promienia <strong>100 mm<\/strong>. Nale\u017cy jednak zainstalowa\u0107 ci\u0119\u017car w promieniu <strong>80 mm<\/strong> ze wzgl\u0119du na ograniczenia przestrzenne.<br><br>\n        Poniewa\u017c efekt r\u00f3wnowa\u017cenia zale\u017cy od iloczynu masy i promienia (m \u00d7 r = const), nale\u017cy dokona\u0107 przeliczenia: k = 100 \/ 80 = 1,25<br><br>\n        Wprowad\u017a wektor A: Masa = 20, K\u0105t = (k\u0105t korekcji)<br>\n        Ustaw mno\u017cnik k = 1,25<br>\n        Wybiera\u0107 <strong>Skala (k\u00d7)<\/strong> i kliknij Oblicz.<br><br>\n        Wynik: <strong>25 gram\u00f3w<\/strong> pod tym samym k\u0105tem<br><br>\n        Przy mniejszym promieniu 80 mm, aby uzyska\u0107 t\u0119 sam\u0105 korekcj\u0119, potrzebne jest 25 gram\u00f3w zamiast 20 gram\u00f3w.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-heading\">Przyk\u0142ad 4: Podzia\u0142 ci\u0119\u017caru pomi\u0119dzy dwa ostrza<\/div>\n      <div class=\"vc-help-example\">\n        Wymagana korekta to <strong>10 gram\u00f3w na 110\u00b0<\/strong>, ale ci\u0119\u017carki mo\u017cna przymocowa\u0107 tylko do \u0142opatek wentylatora znajduj\u0105cych si\u0119 w <strong>90\u00b0<\/strong> oraz <strong>126\u00b0<\/strong> (5 \u0142opatek, rozmieszczonych co 36\u00b0).<br><br>\n        K\u0105t korekcji 110\u00b0 le\u017cy pomi\u0119dzy tymi dwoma \u0142opatkami. Aby ustali\u0107, jaka masa przypada na ka\u017cd\u0105 \u0142opatk\u0119, \n        u\u017cyj dok\u0142adnego podzia\u0142u trygonometrycznego (prosty proporcjonalny podzia\u0142 masy wed\u0142ug k\u0105ta jest tylko przybli\u017ceniem i zani\u017ca mas\u0119 wywa\u017caj\u0105c\u0105 o kilka 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        K\u0105t mi\u0119dzy \u0142opatkami: \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        Aby to sprawdzi\u0107, u\u017cyj dodawania:<br>\n        Vector A: Mass = 4.69, Angle = 90<br>\n        Vector B: Mass = 5.82, Angle = 126<br>\n        Wynik: <strong>10 gram\u00f3w na 110\u00b0<\/strong> \u2014 odpowiada pierwotnym wymaganiom.\n      <\/div>\n    <\/div>\n\n    <div class=\"vc-help-section\">\n      <div class=\"vc-help-formulas\">\n        <div class=\"vc-help-heading\">Wzory<\/div>\n        Biegunowy do kartezja\u0144skiego: X = m \u00d7 cos(a), Y = m \u00d7 sin(a)<br>\n        Kartezja\u0144ski do biegunowego: m = sqrt(X\u00b2 + Y\u00b2), a = atan2(Y, X)<br>\n        Korekta promienia: m2 = m1 \u00d7 (r1 \/ r2)<br>\n        Masy rozdzielone (dok\u0142adnie): m1 = M \u00d7 sin(\u03b2) \/ sin(\u03b1 + \u03b2), m2 = M \u00d7 sin(\u03b1) \/ sin(\u03b1 + \u03b2), gdzie \u03b1 jest odleg\u0142o\u015bci\u0105 k\u0105tow\u0105 od k\u0105ta korekcji do \u0142opatki 1, a \u03b2 jest odleg\u0142o\u015bci\u0105 k\u0105tow\u0105 do \u0142opatki 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\/pl\/wp-json\/wp\/v2\/posts\/20916","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vibromera.eu\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/pl\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/pl\/wp-json\/wp\/v2\/comments?post=20916"}],"version-history":[{"count":5,"href":"https:\/\/vibromera.eu\/pl\/wp-json\/wp\/v2\/posts\/20916\/revisions"}],"predecessor-version":[{"id":20927,"href":"https:\/\/vibromera.eu\/pl\/wp-json\/wp\/v2\/posts\/20916\/revisions\/20927"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/pl\/wp-json\/wp\/v2\/media\/20918"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/pl\/wp-json\/wp\/v2\/media?parent=20916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/pl\/wp-json\/wp\/v2\/categories?post=20916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/pl\/wp-json\/wp\/v2\/tags?post=20916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}