{"id":100136,"date":"2026-02-15T20:19:40","date_gmt":"2026-02-15T20:19:40","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100136"},"modified":"2026-02-15T20:19:40","modified_gmt":"2026-02-15T20:19:40","slug":"inertia-unit-converter","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/bn\/calculators\/inertia-unit-converter\/","title":{"rendered":"\u099c\u09a1\u09bc\u09a4\u09be \u09ae\u09c1\u09b9\u09c2\u09b0\u09cd\u09a4 \u0987\u0989\u09a8\u09bf\u099f \u09b0\u09c2\u09aa\u09be\u09a8\u09cd\u09a4\u09b0\u0995\u09be\u09b0\u09c0 | kg\u00b7m\u00b2 lb\u00b7ft\u00b2 g\u00b7cm\u00b2"},"content":{"rendered":"\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Moment of Inertia Unit Converter\",\"description\":\"Free online moment of inertia unit converter. Convert between kg\u00b7m\u00b2, kg\u00b7cm\u00b2, g\u00b7cm\u00b2, lb\u00b7ft\u00b2, lb\u00b7in\u00b2, oz\u00b7in\u00b2, and slug\u00b7ft\u00b2.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/inertia-unit-converter\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"inLanguage\":\"en\",\"isAccessibleForFree\":true}\n<\/script>\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.gstatic.com\" crossorigin>\n\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=DM+Sans:ital,opsz,wght@0,9..40,300;0,9..40,400;0,9..40,500;0,9..40,600;0,9..40,700;1,9..40,400&#038;family=JetBrains+Mono:wght@400;500;600&#038;family=Fraunces:opsz,wght@9..144,700;9..144,800&#038;display=swap\" rel=\"stylesheet\">\n\n<style>\n:root{--vc-bg:#f4f1ec;--vc-surface:#fff;--vc-surface-alt:#f8f6f2;--vc-ink:#1a1a1a;--vc-ink-secondary:#5a5650;--vc-ink-muted:#8a857e;--vc-accent:#c85a2a;--vc-accent-hover:#b04d22;--vc-accent-light:#fdf0ea;--vc-blue:#2a5c8c;--vc-blue-light:#eaf1f8;--vc-green:#2a7a4b;--vc-green-light:#eaf8ef;--vc-yellow:#a67c00;--vc-yellow-light:#fef9e8;--vc-red:#b91c1c;--vc-red-light:#fef2f2;--vc-border:#d9d4cc;--vc-border-light:#e8e4dd;--vc-shadow:0 1px 3px rgba(26,26,26,0.06),0 4px 12px rgba(26,26,26,0.04);--vc-shadow-lg:0 4px 12px rgba(26,26,26,0.08),0 16px 40px rgba(26,26,26,0.06);--vc-radius:8px;--vc-radius-lg:12px;--vc-font:'DM Sans',-apple-system,BlinkMacSystemFont,'Segoe UI',sans-serif;--vc-mono:'JetBrains Mono','Consolas','Monaco',monospace;--vc-display:'Fraunces',Georgia,serif}\n.vc-calculator{font-family:var(--vc-font);font-size:15px;line-height:1.65;color:var(--vc-ink);max-width:960px;margin:0 auto;padding:20px 16px 40px;-webkit-font-smoothing:antialiased}\n.vc-calculator *,.vc-calculator *::before,.vc-calculator *::after{box-sizing:border-box}\n.vc-header{text-align:center;padding:48px 24px 40px;position:relative}\n.vc-header::after{content:'';position:absolute;bottom:0;left:50%;transform:translateX(-50%);width:80px;height:3px;background:var(--vc-accent);border-radius:2px}\n.vc-header-eyebrow{font-family:var(--vc-mono);font-size:11px;font-weight:500;letter-spacing:0.15em;text-transform:uppercase;color:var(--vc-accent);margin:0 0 12px}\n.vc-header-title{font-family:var(--vc-display);font-size:clamp(24px,4vw,36px);font-weight:800;line-height:1.15;color:var(--vc-ink);margin:0 0 16px;letter-spacing:-0.02em}\n.vc-header-subtitle{font-size:15px;color:var(--vc-ink-secondary);margin:0 auto 20px;max-width:600px}\n.vc-badges{display:inline-flex;gap:8px;flex-wrap:wrap;justify-content:center}\n.vc-badge{font-family:var(--vc-mono);font-size:11px;font-weight:500;padding:4px 10px;border-radius:4px;background:var(--vc-surface);border:1px solid var(--vc-border);color:var(--vc-ink-secondary)}\n.vc-card{background:var(--vc-surface);border:1px solid var(--vc-border);border-radius:var(--vc-radius-lg);box-shadow:var(--vc-shadow);overflow:hidden;margin-top:32px}\n.vc-form{padding:24px}\n.vc-form-grid{display:grid;grid-template-columns:1fr 1fr;gap:18px}\n@media(max-width:600px){.vc-form-grid{grid-template-columns:1fr}}\n.vc-field{display:flex;flex-direction:column}\n.vc-field-full{grid-column:1\/-1}\n.vc-label{font-size:12px;font-weight:600;letter-spacing:0.04em;text-transform:uppercase;color:var(--vc-ink-secondary);margin-bottom:6px}\n.vc-label-hint{font-weight:400;text-transform:none;letter-spacing:0;color:var(--vc-ink-muted);font-size:11px}\n.vc-select,.vc-input{width:100%;padding:10px 12px;border:1.5px solid var(--vc-border);border-radius:6px;font-family:var(--vc-font);font-size:14px;color:var(--vc-ink);background:var(--vc-surface);transition:border-color 0.15s,box-shadow 0.15s}\n.vc-select{padding-right:36px;appearance:none;-webkit-appearance:none;cursor:pointer;background-image:url(\"data:image\/svg+xml,%3Csvg xmlns='http:\/\/www.w3.org\/2000\/svg' width='16' height='16' fill='none' stroke='%235a5650' stroke-width='2'%3E%3Cpath d='M4 6l4 4 4-4'\/%3E%3C\/svg%3E\");background-repeat:no-repeat;background-position:right 10px center}\n.vc-select:focus,.vc-input:focus{outline:none;border-color:var(--vc-accent);box-shadow:0 0 0 3px rgba(200,90,42,0.12)}\n.vc-select:hover,.vc-input:hover{border-color:var(--vc-ink-muted)}\n.vc-results{border-top:1px solid var(--vc-border-light);background:var(--vc-surface-alt);padding:0;max-height:0;overflow:hidden;transition:max-height 0.5s cubic-bezier(0.4,0,0.2,1),padding 0.3s}\n.vc-results.vc-visible{max-height:2000px;padding:24px}\n.vc-results-head{display:flex;align-items:center;justify-content:space-between;margin-bottom:18px}\n.vc-results-title{font-family:var(--vc-display);font-size:20px;font-weight:700;color:var(--vc-ink);margin:0}\n.vc-copy-btn{display:inline-flex;align-items:center;gap:5px;padding:6px 12px;border:1px solid var(--vc-border);border-radius:6px;background:var(--vc-surface);font-family:var(--vc-font);font-size:12px;font-weight:500;color:var(--vc-ink-secondary);cursor:pointer;transition:all 0.15s}\n.vc-copy-btn:hover{border-color:var(--vc-accent);color:var(--vc-accent)}\n.vc-copy-btn.vc-copied{background:var(--vc-green-light);border-color:var(--vc-green);color:var(--vc-green)}\n.vc-result-grid{display:grid;grid-template-columns:1fr 1fr;gap:12px;margin-bottom:20px}\n@media(max-width:500px){.vc-result-grid{grid-template-columns:1fr}}\n.vc-rcard{background:var(--vc-surface);border:1px solid var(--vc-border-light);border-radius:var(--vc-radius);padding:16px;transition:transform 0.2s}\n.vc-rcard:hover{transform:translateY(-1px)}\n.vc-rcard-primary{border-color:var(--vc-accent);border-width:2px;background:linear-gradient(135deg,#fdf6f2 0%,var(--vc-surface) 100%);grid-column:1\/-1}\n.vc-rcard-label{font-family:var(--vc-mono);font-size:10px;font-weight:500;letter-spacing:0.1em;text-transform:uppercase;color:var(--vc-ink-muted);margin-bottom:4px}\n.vc-rcard-value{font-family:var(--vc-mono);font-size:22px;font-weight:600;color:var(--vc-ink);line-height:1.2}\n.vc-rcard-primary .vc-rcard-value{font-size:30px;color:var(--vc-accent)}\n.vc-rcard-unit{font-size:14px;font-weight:400;color:var(--vc-ink-secondary)}\n.vc-section{margin-top:24px;border:1px solid var(--vc-border);border-radius:var(--vc-radius-lg);background:var(--vc-surface);box-shadow:var(--vc-shadow);overflow:hidden}\n.vc-section-toggle{width:100%;display:flex;align-items:center;justify-content:space-between;padding:18px 24px;border:none;background:transparent;cursor:pointer;font-family:var(--vc-font);text-align:left;transition:background 0.15s}\n.vc-section-toggle:hover{background:var(--vc-surface-alt)}\n.vc-section-toggle-text{display:flex;align-items:center;gap:10px}\n.vc-section-icon{font-size:20px;line-height:1}\n.vc-section-title{font-family:var(--vc-display);font-size:18px;font-weight:700;color:var(--vc-ink);margin:0}\n.vc-section-chevron{width:20px;height:20px;color:var(--vc-ink-muted);transition:transform 0.3s;flex-shrink:0}\n.vc-section.vc-open .vc-section-chevron{transform:rotate(180deg)}\n.vc-section-body{max-height:0;overflow:hidden;transition:max-height 0.4s cubic-bezier(0.4,0,0.2,1)}\n.vc-section.vc-open .vc-section-body{max-height:20000px}\n.vc-section-inner{padding:0 24px 24px;border-top:1px solid var(--vc-border-light)}\n.vc-theory h3{font-family:var(--vc-display);font-size:17px;font-weight:700;color:var(--vc-ink);margin:28px 0 10px}\n.vc-theory h3:first-child{margin-top:20px}\n.vc-theory p{font-size:14px;color:var(--vc-ink-secondary);margin:0 0 10px}\n.vc-theory ul,.vc-theory ol{font-size:14px;color:var(--vc-ink-secondary);margin:0 0 12px 18px;padding:0}\n.vc-theory li{margin-bottom:5px}\n.vc-formula-box{background:var(--vc-surface-alt);border:2px solid var(--vc-border);border-radius:6px;padding:14px 20px;font-family:var(--vc-mono);font-size:16px;font-weight:500;text-align:center;margin:14px 0;color:var(--vc-ink);overflow-x:auto}\n.vc-info-box{background:var(--vc-blue-light);border-left:3px solid var(--vc-blue);padding:14px 16px;border-radius:0 6px 6px 0;margin:14px 0}\n.vc-info-box p{margin:0;font-size:14px;color:var(--vc-ink-secondary)}\n.vc-table{width:100%;border-collapse:collapse;margin:14px 0;font-size:13px}\n.vc-table th,.vc-table td{padding:10px 12px;border:1px solid var(--vc-border-light);text-align:left}\n.vc-table th{background:var(--vc-surface-alt);font-size:11px;font-weight:600;text-transform:uppercase;letter-spacing:0.05em;color:var(--vc-ink-secondary)}\n.vc-table tr:nth-child(even){background:var(--vc-surface-alt)}\n@media(max-width:600px){.vc-table{font-size:12px}.vc-table th,.vc-table td{padding:8px}}\n.vc-faq-list{display:flex;flex-direction:column;gap:8px;margin-top:20px}\n.vc-faq-item{border:1px solid var(--vc-border-light);border-radius:6px;overflow:hidden}\n.vc-faq-q{width:100%;display:flex;align-items:center;justify-content:space-between;gap:12px;padding:14px 16px;border:none;background:var(--vc-surface-alt);cursor:pointer;font-family:var(--vc-font);font-size:15px;font-weight:600;color:var(--vc-ink);text-align:left;transition:background 0.15s}\n.vc-faq-q:hover{background:#ede9e3}\n.vc-faq-chevron{width:16px;height:16px;color:var(--vc-ink-muted);flex-shrink:0;transition:transform 0.25s}\n.vc-faq-item.vc-open .vc-faq-chevron{transform:rotate(180deg)}\n.vc-faq-a{max-height:0;overflow:hidden;transition:max-height 0.35s}\n.vc-faq-item.vc-open .vc-faq-a{max-height:1200px}\n.vc-faq-a-inner{padding:14px 16px;border-top:1px solid var(--vc-border-light);font-size:14px;color:var(--vc-ink-secondary)}\n.vc-faq-a-inner p{margin:0 0 8px}\n.vc-faq-a-inner p:last-child{margin-bottom:0}\n.vc-related{display:flex;flex-wrap:wrap;gap:10px;margin-top:16px}\n.vc-related-link{display:inline-block;padding:8px 16px;font-family:var(--vc-font);font-size:13px;font-weight:600;background:var(--vc-surface-alt);color:var(--vc-ink-secondary);border:1px solid var(--vc-border);border-radius:var(--vc-radius);text-decoration:none;transition:all 0.15s}\n.vc-related-link:hover{border-color:var(--vc-accent);color:var(--vc-accent);background:var(--vc-accent-light)}\n.vc-promo{margin-top:24px;padding:20px;background:linear-gradient(135deg,var(--vc-accent-light),var(--vc-surface));border:1px solid var(--vc-border);border-radius:var(--vc-radius-lg);display:flex;align-items:center;gap:16px}\n.vc-promo-text{flex:1;font-size:14px;color:var(--vc-ink-secondary)}\n.vc-promo-text strong{color:var(--vc-ink)}\n.vc-promo-link{padding:8px 20px;font-size:13px;font-weight:700;color:#fff;background:var(--vc-accent);border-radius:var(--vc-radius);text-decoration:none;white-space:nowrap;transition:background 0.15s}\n.vc-promo-link:hover{background:var(--vc-accent-hover)}\n.vc-footer{text-align:center;padding:32px 16px;font-size:13px;color:var(--vc-ink-muted)}\n.vc-footer a{color:var(--vc-accent);text-decoration:none}\n.vc-footer a:hover{text-decoration:underline}\n.vc-footer-links{margin-top:8px;font-size:12px}\n.vc-footer-links a{margin:0 8px}\n.vc-presets{display:flex;flex-wrap:wrap;gap:8px;margin-top:18px;padding-top:18px;border-top:1px solid var(--vc-border-light)}\n.vc-presets-label{font-family:var(--vc-mono);font-size:11px;font-weight:500;letter-spacing:0.1em;text-transform:uppercase;color:var(--vc-ink-muted);width:100%;margin-bottom:2px}\n.vc-preset-btn{padding:5px 12px;font-family:var(--vc-font);font-size:12px;font-weight:500;border:1px solid var(--vc-border);border-radius:6px;background:var(--vc-surface-alt);color:var(--vc-ink-secondary);cursor:pointer;transition:all 0.15s}\n.vc-preset-btn:hover{border-color:var(--vc-accent);color:var(--vc-accent);background:var(--vc-accent-light)}\n@media print{.vc-section-body{max-height:none!important}.vc-faq-a{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-copy-btn,.vc-section-chevron,.vc-faq-chevron,.vc-presets,.vc-promo{display:none!important}}\n<\/style>\n\n<div class=\"vc-calculator\" id=\"vc-inertia-converter\">\n\n<header class=\"vc-header\">\n    <p class=\"vc-header-eyebrow\">Free Engineering Tool<\/p>\n    <h1 class=\"vc-header-title\">Moment of Inertia Unit Converter<\/h1>\n    <p class=\"vc-header-subtitle\">Convert mass moment of inertia between all common metric and imperial units instantly. Enter a value and see all conversions simultaneously.<\/p>\n    <div class=\"vc-badges\">\n        <span class=\"vc-badge\">kg\u00b7m\u00b2<\/span>\n        <span class=\"vc-badge\">lb\u00b7ft\u00b2<\/span>\n        <span class=\"vc-badge\">g\u00b7cm\u00b2<\/span>\n        <span class=\"vc-badge\">slug\u00b7ft\u00b2<\/span>\n    <\/div>\n<\/header>\n\n<div class=\"vc-card\">\n    <form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\">\n        <div class=\"vc-form-grid\">\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-value\">Value<\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-value\" inputmode=\"decimal\" step=\"any\" placeholder=\"e.g. 1.5\" value=\"1\">\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-unit\">Source Unit<\/label>\n                <select class=\"vc-select\" id=\"vc-unit\">\n                    <option value=\"kgm2\" selected>kg\u00b7m\u00b2 \u2014 kilogram meter squared<\/option>\n                    <option value=\"kgcm2\">kg\u00b7cm\u00b2 \u2014 kilogram centimeter squared<\/option>\n                    <option value=\"gcm2\">g\u00b7cm\u00b2 \u2014 gram centimeter squared<\/option>\n                    <option value=\"lbft2\">lb\u00b7ft\u00b2 \u2014 pound foot squared<\/option>\n                    <option value=\"lbin2\">lb\u00b7in\u00b2 \u2014 pound inch squared<\/option>\n                    <option value=\"ozin2\">oz\u00b7in\u00b2 \u2014 ounce inch squared<\/option>\n                    <option value=\"slugft2\">slug\u00b7ft\u00b2 \u2014 slug foot squared<\/option>\n                <\/select>\n            <\/div>\n        <\/div>\n        <div class=\"vc-presets\">\n            <div class=\"vc-presets-label\">Quick presets<\/div>\n            <button type=\"button\" class=\"vc-preset-btn\" data-v=\"1\" data-u=\"kgm2\">1 kg\u00b7m\u00b2<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-v=\"1\" data-u=\"lbft2\">1 lb\u00b7ft\u00b2<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-v=\"1\" data-u=\"slugft2\">1 slug\u00b7ft\u00b2<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-v=\"100\" data-u=\"kgcm2\">100 kg\u00b7cm\u00b2<\/button>\n        <\/div>\n    <\/form>\n\n    <div class=\"vc-results vc-visible\" id=\"vc-results\">\n        <div class=\"vc-results-head\">\n            <h2 class=\"vc-results-title\">All Conversions<\/h2>\n            <button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\">\n                <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg>\n                Copy\n            <\/button>\n        <\/div>\n        <div class=\"vc-result-grid\">\n            <div class=\"vc-rcard vc-rcard-primary\">\n                <div class=\"vc-rcard-label\">kg\u00b7m\u00b2 (SI unit)<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-kgm2\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">kg\u00b7cm\u00b2<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-kgcm2\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">g\u00b7cm\u00b2<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-gcm2\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">lb\u00b7ft\u00b2<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-lbft2\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">lb\u00b7in\u00b2<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-lbin2\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">oz\u00b7in\u00b2<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-ozin2\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">slug\u00b7ft\u00b2<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-slugft2\">\u2014<\/div>\n            <\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<!-- Theory -->\n<div class=\"vc-section vc-open\" id=\"vc-sec-theory\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\">\n        <span class=\"vc-section-toggle-text\">\n            <span class=\"vc-section-icon\">\ud83d\udcd8<\/span>\n            <span class=\"vc-section-title\">Theory &#038; Conversion Factors<\/span>\n        <\/span>\n        <svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg>\n    <\/button>\n    <div class=\"vc-section-body\">\n        <div class=\"vc-section-inner vc-theory\">\n            <h3>What is Moment of Inertia?<\/h3>\n            <p>The mass moment of inertia (also called rotational inertia) quantifies a body&#8217;s resistance to angular acceleration about a given axis. It is the rotational analog of mass in linear motion.<\/p>\n            <div class=\"vc-formula-box\">J = \u03a3 m\u1d62 r\u1d62\u00b2 &nbsp;&nbsp;or&nbsp;&nbsp; J = \u222b r\u00b2 dm &nbsp;&nbsp;[kg\u00b7m\u00b2]<\/div>\n            <p>Where <strong>m<\/strong> is mass and <strong>r<\/strong> is the perpendicular distance from the axis of rotation.<\/p>\n\n            <h3>Conversion Table<\/h3>\n            <table class=\"vc-table\">\n                <thead><tr><th>Unit<\/th><th>Symbol<\/th><th>= kg\u00b7m\u00b2<\/th><\/tr><\/thead>\n                <tbody>\n                    <tr><td>kilogram meter squared<\/td><td>kg\u00b7m\u00b2<\/td><td>1<\/td><\/tr>\n                    <tr><td>kilogram centimeter squared<\/td><td>kg\u00b7cm\u00b2<\/td><td>1 \u00d7 10\u207b\u2074<\/td><\/tr>\n                    <tr><td>gram centimeter squared<\/td><td>g\u00b7cm\u00b2<\/td><td>1 \u00d7 10\u207b\u2077<\/td><\/tr>\n                    <tr><td>pound foot squared<\/td><td>lb\u00b7ft\u00b2<\/td><td>0.042140<\/td><\/tr>\n                    <tr><td>pound inch squared<\/td><td>lb\u00b7in\u00b2<\/td><td>2.9264 \u00d7 10\u207b\u2074<\/td><\/tr>\n                    <tr><td>ounce inch squared<\/td><td>oz\u00b7in\u00b2<\/td><td>1.8290 \u00d7 10\u207b\u2075<\/td><\/tr>\n                    <tr><td>slug foot squared<\/td><td>slug\u00b7ft\u00b2<\/td><td>1.35582<\/td><\/tr>\n                <\/tbody>\n            <\/table>\n\n            <h3>Common Formulas for Simple Shapes<\/h3>\n            <table class=\"vc-table\">\n                <thead><tr><th>Shape<\/th><th>Axis<\/th><th>Formula<\/th><\/tr><\/thead>\n                <tbody>\n                    <tr><td>Solid cylinder\/disk<\/td><td>Central axis<\/td><td>J = \u00bd m r\u00b2<\/td><\/tr>\n                    <tr><td>Hollow cylinder<\/td><td>Central axis<\/td><td>J = \u00bd m (r\u2081\u00b2 + r\u2082\u00b2)<\/td><\/tr>\n                    <tr><td>Solid sphere<\/td><td>Through center<\/td><td>J = \u2156 m r\u00b2<\/td><\/tr>\n                    <tr><td>Thin rod<\/td><td>Through center<\/td><td>J = \u00b9\u2044\u2081\u2082 m L\u00b2<\/td><\/tr>\n                    <tr><td>Thin rod<\/td><td>Through end<\/td><td>J = \u2153 m L\u00b2<\/td><\/tr>\n                <\/tbody>\n            <\/table>\n\n            <div class=\"vc-info-box\">\n                <p><strong>Note:<\/strong> In the imperial system, <strong>slug\u00b7ft\u00b2<\/strong> is the dynamically consistent unit (force = mass \u00d7 acceleration without a conversion factor). 1 slug = 1 lb\u00b7s\u00b2\/ft = 14.594 kg.<\/p>\n            <\/div>\n\n            <h3>Relationship to Torque and Angular Motion<\/h3>\n            <div class=\"vc-formula-box\">\u03c4 = J \u00d7 \u03b1 &nbsp;&nbsp;(Newton&#8217;s 2nd law for rotation)<\/div>\n            <p>Where <strong>\u03c4<\/strong> is torque (N\u00b7m), <strong>J<\/strong> is moment of inertia (kg\u00b7m\u00b2), and <strong>\u03b1<\/strong> is angular acceleration (rad\/s\u00b2).<\/p>\n\n            <h3>Parallel Axis Theorem<\/h3>\n            <div class=\"vc-formula-box\">J = J_cm + m \u00d7 d\u00b2<\/div>\n            <p>The moment of inertia about any parallel axis equals the inertia about the center of mass plus <strong>m \u00d7 d\u00b2<\/strong>, where d is the distance between axes.<\/p>\n        <\/div>\n    <\/div>\n<\/div>\n\n<!-- Related -->\n<div class=\"vc-section\" id=\"vc-sec-related\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\">\n        <span class=\"vc-section-toggle-text\">\n            <span class=\"vc-section-icon\">\ud83d\udd17<\/span>\n            <span class=\"vc-section-title\">Related Calculators<\/span>\n        <\/span>\n        <svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg>\n    <\/button>\n    <div class=\"vc-section-body\">\n        <div class=\"vc-section-inner\">\n            <div class=\"vc-related\">\n                <a class=\"vc-related-link\" href=\"\/calculators\/speed-velocity-converter\/\">Speed &#038; Velocity Converter<\/a>\n                <a class=\"vc-related-link\" href=\"\/calculators\/residual-unbalance-iso1940\/\">Residual Unbalance (ISO 21940)<\/a>\n                <a class=\"vc-related-link\" href=\"\/calculators\/frequency-wavelength-calculator\/\">Frequency \u2194 Wavelength<\/a>\n            <\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<!-- FAQ -->\n<div class=\"vc-section\" id=\"vc-sec-faq\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\">\n        <span class=\"vc-section-toggle-text\">\n            <span class=\"vc-section-icon\">\u2753<\/span>\n            <span class=\"vc-section-title\">Frequently Asked Questions<\/span>\n        <\/span>\n        <svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg>\n    <\/button>\n    <div class=\"vc-section-body\">\n        <div class=\"vc-section-inner\">\n            <div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"vc-promo\">\n    <div class=\"vc-promo-text\">\n        <strong>Vibromera \u2014 Portable Balancing &#038; Vibration Analysis<\/strong><br>\n        Professional field balancing instruments and software. Used in 50+ countries.\n    <\/div>\n    <a class=\"vc-promo-link\" href=\"https:\/\/vibromera.eu\/\" target=\"_blank\" rel=\"noopener\">Learn More<\/a>\n<\/div>\n\n<footer class=\"vc-footer\">\n    <p>\u00a9 2024\u20132025 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a> \u2014 Engineering Calculators<\/p>\n    <p style=\"font-size:12px;margin-top:4px;\">Last updated: February 2025<\/p>\n    <div class=\"vc-footer-links\">\n        <a href=\"\/calculators\/engineering-calculators\/\">All Calculators<\/a>\n        <a href=\"https:\/\/vibromera.eu\/contacts\/\">Contact<\/a>\n    <\/div>\n<\/footer>\n\n<\/div>\n\n<script>\n(function() {\n    'use strict';\n\n    \/\/ Conversion factors TO kg\u00b7m\u00b2\n    var TO_KGM2 = {\n        kgm2: 1,\n        kgcm2: 1e-4,\n        gcm2: 1e-7,\n        lbft2: 0.04214011,\n        lbin2: 2.926397e-4,\n        ozin2: 1.829e-5,\n        slugft2: 1.355818\n    };\n\n    var UNIT_LABELS = {\n        kgm2: 'kg\u00b7m\u00b2',\n        kgcm2: 'kg\u00b7cm\u00b2',\n        gcm2: 'g\u00b7cm\u00b2',\n        lbft2: 'lb\u00b7ft\u00b2',\n        lbin2: 'lb\u00b7in\u00b2',\n        ozin2: 'oz\u00b7in\u00b2',\n        slugft2: 'slug\u00b7ft\u00b2'\n    };\n\n    function $(id) { return document.getElementById(id); }\n    function fmt(n, d) {\n        if (isNaN(n) || !isFinite(n)) return '\u2014';\n        if (Math.abs(n) >= 1e9) return n.toExponential(4);\n        if (Math.abs(n) < 0.0001 && n !== 0) return n.toExponential(4);\n        var f = n.toFixed(d === undefined ? 6 : d);\n        return f.replace(\/(\\.\\d*?)0+$\/, '$1').replace(\/\\.$\/, '');\n    }\n\n    function calculate() {\n        var val = parseFloat($('vc-value').value);\n        var unit = $('vc-unit').value;\n\n        if (isNaN(val)) {\n            for (var u in TO_KGM2) { $('vc-r-' + u).innerHTML = '\u2014'; }\n            return;\n        }\n\n        var kgm2 = val * TO_KGM2[unit];\n\n        for (var u in TO_KGM2) {\n            var v = kgm2 \/ TO_KGM2[u];\n            var dp = (Math.abs(v) < 0.01 ? 8 : (Math.abs(v) < 1 ? 6 : (Math.abs(v) < 1000 ? 4 : 2)));\n            $('vc-r-' + u).innerHTML = fmt(v, dp) + ' <span class=\"vc-rcard-unit\">' + UNIT_LABELS[u] + '<\/span>';\n        }\n\n        $('vc-results').classList.add('vc-visible');\n    }\n\n    document.querySelectorAll('.vc-preset-btn').forEach(function(btn) {\n        btn.addEventListener('click', function(e) {\n            e.preventDefault();\n            $('vc-value').value = this.getAttribute('data-v');\n            $('vc-unit').value = this.getAttribute('data-u');\n            calculate();\n        });\n    });\n\n    $('vc-form').addEventListener('input', calculate);\n    $('vc-form').addEventListener('change', calculate);\n\n    $('vc-copy-btn').addEventListener('click', function() {\n        var lines = ['Moment of Inertia Conversion', '\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501'];\n        for (var u in UNIT_LABELS) {\n            lines.push(UNIT_LABELS[u] + ': ' + $('vc-r-' + u).textContent);\n        }\n        lines.push('\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501');\n        lines.push('vibromera.eu\/calculators\/inertia-unit-converter\/');\n        if (navigator.clipboard) {\n            navigator.clipboard.writeText(lines.join('\\n')).then(function() {\n                var btn = $('vc-copy-btn');\n                btn.classList.add('vc-copied');\n                btn.innerHTML = '<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><polyline points=\"20 6 9 17 4 12\"\/><\/svg> Copied!';\n                setTimeout(function() {\n                    btn.classList.remove('vc-copied');\n                    btn.innerHTML = '<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy';\n                }, 2000);\n            });\n        }\n    });\n\n    document.querySelectorAll('.vc-section-toggle').forEach(function(btn) {\n        btn.addEventListener('click', function() {\n            var section = this.closest('.vc-section');\n            section.classList.toggle('vc-open');\n            this.setAttribute('aria-expanded', section.classList.contains('vc-open'));\n        });\n    });\n\n    var faqData = [\n        { q: 'What is the difference between mass moment of inertia and area moment of inertia?', a: '<p><strong>Mass moment of inertia<\/strong> (J, units: kg\u00b7m\u00b2) measures resistance to angular acceleration. <strong>Area moment of inertia<\/strong> (I, units: m\u2074) measures resistance to bending. They are different physical quantities \u2014 this calculator handles mass moment of inertia only.<\/p>' },\n        { q: 'What is a slug?', a: '<p>A slug is the imperial unit of mass in the gravitational system. 1 slug = 14.5939 kg. When force in pounds-force is divided by acceleration in ft\/s\u00b2, the result is in slugs. 1 slug\u00b7ft\u00b2 = 1.3558 kg\u00b7m\u00b2.<\/p>' },\n        { q: 'Why is moment of inertia important in rotating machinery?', a: '<p>Moment of inertia determines how much torque is needed to change a rotor\\'s speed. It affects startup time, braking distance, critical speeds, and torsional vibration behavior. For balancing, it affects centrifugal forces generated by unbalance.<\/p>' },\n        { q: 'How do I convert lb\u00b7ft\u00b2 to kg\u00b7m\u00b2?', a: '<p>Multiply lb\u00b7ft\u00b2 by <strong>0.04214<\/strong> to get kg\u00b7m\u00b2. For example, 10 lb\u00b7ft\u00b2 = 10 \u00d7 0.04214 = 0.4214 kg\u00b7m\u00b2.<\/p>' }\n    ];\n    var faqList = $('vc-faq-list');\n    faqData.forEach(function(faq) {\n        faqList.innerHTML += '<div class=\"vc-faq-item\"><button type=\"button\" class=\"vc-faq-q\"><span>' + faq.q + '<\/span><svg class=\"vc-faq-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button><div class=\"vc-faq-a\"><div class=\"vc-faq-a-inner\">' + faq.a + '<\/div><\/div><\/div>';\n    });\n    faqList.addEventListener('click', function(e) {\n        var btn = e.target.closest('.vc-faq-q');\n        if (!btn) return;\n        btn.closest('.vc-faq-item').classList.toggle('vc-open');\n    });\n\n    function loadParams() {\n        var p = new URLSearchParams(window.location.search);\n        if (p.get('v')) $('vc-value').value = p.get('v');\n        if (p.get('u')) $('vc-unit').value = p.get('u');\n    }\n\n    loadParams();\n    calculate();\n})();\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>\u09ac\u09bf\u09a8\u09be\u09ae\u09c2\u09b2\u09cd\u09af\u09c7 \u0985\u09a8\u09b2\u09be\u0987\u09a8 \u099c\u09a1\u09bc\u09a4\u09be \u09ae\u09c1\u09b9\u09c2\u09b0\u09cd\u09a4 \u0987\u0989\u09a8\u09bf\u099f \u09b0\u09c2\u09aa\u09be\u09a8\u09cd\u09a4\u09b0\u0995\u09be\u09b0\u09c0\u0964 kg\u00b7m\u00b2, kg\u00b7cm\u00b2, g\u00b7cm\u00b2, lb\u00b7ft\u00b2, lb\u00b7in\u00b2, oz\u00b7in\u00b2, \u098f\u09ac\u0982 slug\u00b7ft\u00b2 \u098f\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b0\u09c2\u09aa\u09be\u09a8\u09cd\u09a4\u09b0 \u0995\u09b0\u09c1\u09a8\u0964 \u09a4\u09be\u09ce\u0995\u09cd\u09b7\u09a3\u09bf\u0995 \u09ab\u09b2\u09be\u09ab\u09b2\u0964<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100136","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100136\/revisions"}],"predecessor-version":[{"id":100450,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100136\/revisions\/100450"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/media?parent=100136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/categories?post=100136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/tags?post=100136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}