{"id":15788,"date":"2025-05-13T02:47:21","date_gmt":"2025-05-13T02:47:21","guid":{"rendered":"https:\/\/www.mechstream.com\/?p=15788"},"modified":"2025-05-13T05:14:44","modified_gmt":"2025-05-13T05:14:44","slug":"hollow-circle-moment-of-inertia-calculator","status":"publish","type":"post","link":"https:\/\/www.mechstream.com\/ru\/hollow-circle-moment-of-inertia-calculator\/","title":{"rendered":"\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u0438\u043d\u0435\u0440\u0446\u0438\u0438 \u043f\u043e\u043b\u043e\u0433\u043e \u043a\u0440\u0443\u0433\u0430"},"content":{"rendered":"<p>\u041e\u0442\u043a\u0440\u043e\u0439\u0442\u0435 \u0434\u043b\u044f \u0441\u0435\u0431\u044f \u044d\u0444\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u044c \u0438 \u043f\u0440\u043e\u0441\u0442\u043e\u0442\u0443 \u043d\u0430\u0448\u0435\u0433\u043e \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0430 \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u0438\u043d\u0435\u0440\u0446\u0438\u0438 \u043f\u043e\u043b\u043e\u0433\u043e \u043a\u0440\u0443\u0433\u0430, \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0430\u043d\u043d\u043e\u0433\u043e \u0434\u043b\u044f \u043f\u043e\u043c\u043e\u0449\u0438 \u0438\u043d\u0436\u0435\u043d\u0435\u0440\u0430\u043c \u0438 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0430\u043c \u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0438 \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u0438\u043d\u0435\u0440\u0446\u0438\u0438 \u043f\u043e\u043b\u044b\u0445 \u043a\u0440\u0443\u0433\u043b\u044b\u0445 \u043f\u0440\u043e\u0444\u0438\u043b\u0435\u0439. \u042d\u0442\u043e\u0442 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u0435\u0442 \u0431\u044b\u0441\u0442\u0440\u044b\u0435 \u0438 \u0442\u043e\u0447\u043d\u044b\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u0434\u043b\u044f \u0432\u0430\u0448\u0438\u0445 \u043f\u0440\u043e\u0435\u043a\u0442\u043e\u0432 \u043f\u043e \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u043d\u043e\u043c\u0443 \u0430\u043d\u0430\u043b\u0438\u0437\u0443 \u0438 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044e \u043c\u0435\u0445\u0430\u043d\u0438\u0437\u043c\u043e\u0432. \u041f\u0440\u043e\u0441\u0442\u043e \u0432\u0432\u0435\u0434\u0438\u0442\u0435 \u0432\u043d\u0435\u0448\u043d\u0438\u0439 \u0438 \u0432\u043d\u0443\u0442\u0440\u0435\u043d\u043d\u0438\u0439 \u0440\u0430\u0434\u0438\u0443\u0441\u044b, \u0447\u0442\u043e\u0431\u044b \u043b\u0435\u0433\u043a\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u043c\u043e\u043c\u0435\u043d\u0442 \u0438\u043d\u0435\u0440\u0446\u0438\u0438. \u041d\u0430\u0448 \u0438\u043d\u0441\u0442\u0440\u0443\u043c\u0435\u043d\u0442 \u0438\u0434\u0435\u0430\u043b\u044c\u043d\u043e \u043f\u043e\u0434\u0445\u043e\u0434\u0438\u0442 \u0434\u043b\u044f \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u0438\u0439 \u0432 \u0430\u0432\u0442\u043e\u043c\u043e\u0431\u0438\u043b\u044c\u043d\u043e\u0439, \u0430\u044d\u0440\u043e\u043a\u043e\u0441\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0438 \u0441\u0442\u0440\u043e\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043e\u0442\u0440\u0430\u0441\u043b\u044f\u0445, \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u044f \u0442\u043e\u0447\u043d\u043e\u0441\u0442\u044c \u0438 \u044d\u043a\u043e\u043d\u043e\u043c\u044f \u0434\u0440\u0430\u0433\u043e\u0446\u0435\u043d\u043d\u043e\u0435 \u0432\u0440\u0435\u043c\u044f \u043f\u0440\u0438 \u0440\u0430\u0441\u0447\u0435\u0442\u0430\u0445.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"114\" height=\"100\" src=\"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/QQ20250513-100603-\u5df2\u7f16\u8f91.png\" loading=\"lazy\" alt=\"\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u043c\u043e\u043c\u0435\u043d\u0442\u0430 \u0438\u043d\u0435\u0440\u0446\u0438\u0438 \u043f\u043e\u043b\u043e\u0433\u043e \u043a\u0440\u0443\u0433\u0430\" class=\"wp-image-15789\" srcset=\"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/QQ20250513-100603-\u5df2\u7f16\u8f91.png 114w, https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/QQ20250513-100603-\u5df2\u7f16\u8f91-100x88.png 100w\" sizes=\"(max-width: 114px) 100vw, 114px\" \/><\/figure>\n<\/div>\n\n\n<!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    <title>\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u043f\u043e\u043b\u043e\u0433\u043e \u043a\u0440\u0443\u0433\u0430 \u2013 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u0438 \u043f\u0435\u0440\u0438\u043c\u0435\u0442\u0440\u0430<\/title>\n    <style>\n        \/* \u4f7f\u7528\u7279\u5b9a\u7684\u547d\u540d\u7a7a\u95f4\uff0c\u907f\u514d\u6837\u5f0f\u6c61\u67d3 *\/\n        .hollow-circle-calculator-widget * {\n            margin: 0;\n            padding: 0;\n            box-sizing: border-box;\n        }\n\n        .hollow-circle-calculator-widget {\n            font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Oxygen-Sans, Ubuntu, Cantarell, \"Helvetica Neue\", sans-serif;\n            line-height: 1.6;\n            color: #333;\n            max-width: 1200px;\n            margin: 0 auto;\n            padding: 20px;\n            \/* \u786e\u4fdd\u8ba1\u7b97\u5668\u4e0d\u4f1a\u5f71\u54cd\u5176\u4ed6\u5143\u7d20 *\/\n            position: relative;\n            z-index: 1;\n            \/* \u9632\u6b62\u5f71\u54cd sticky header *\/\n            isolation: isolate;\n        }\n\n        \/* \u6240\u6709\u9009\u62e9\u5668\u90fd\u6dfb\u52a0\u547d\u540d\u7a7a\u95f4\u524d\u7f00 *\/\n        .hollow-circle-calculator-widget .calculator-section {\n            margin-bottom: 30px;\n            background: #fff;\n            padding: 20px;\n            border-radius: 8px;\n            box-shadow: 0 2px 4px rgba(0,0,0,0.1);\n        }\n\n        .hollow-circle-calculator-widget h2 {\n            color: #000;\n            margin-bottom: 15px;\n            font-size: 1.5em;\n        }\n\n        .hollow-circle-calculator-widget .parameter-list {\n            display: grid;\n            grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n            gap: 15px;\n            margin-bottom: 20px;\n        }\n\n        .hollow-circle-calculator-widget .parameter-item {\n            background: #f8f9fa;\n            padding: 10px;\n            border-radius: 4px;\n        }\n\n        .hollow-circle-calculator-widget .calculator-form {\n            display: grid;\n            grid-template-columns: repeat(2, 1fr);\n            gap: 20px;\n            margin-bottom: 20px;\n        }\n\n        .hollow-circle-calculator-widget .input-group {\n            display: flex;\n            flex-direction: column;\n        }\n\n        .hollow-circle-calculator-widget label {\n            margin-bottom: 5px;\n            font-weight: 500;\n        }\n\n        .hollow-circle-calculator-widget input,\n        .hollow-circle-calculator-widget select {\n            padding: 8px;\n            border: 1px solid #ddd;\n            border-radius: 4px;\n            font-size: 16px;\n            \/* \u786e\u4fdd\u8f93\u5165\u6846\u6837\u5f0f\u4e0d\u53d7\u5f71\u54cd *\/\n            background: #fff;\n            color: #333;\n        }\n\n        .hollow-circle-calculator-widget .calculate-btn {\n            width: 220px;\n            padding: 15px 0;\n            grid-column: 1 \/ -1;\n            justify-self: center;\n            background: #007bff;\n            color: white;\n            border: none;\n            border-radius: 4px;\n            cursor: pointer;\n            font-size: 16px;\n            transition: background 0.3s;\n            \/* \u786e\u4fdd\u6309\u94ae\u6837\u5f0f\u4e0d\u53d7\u5f71\u54cd *\/\n            text-decoration: none;\n            display: inline-block;\n        }\n\n        .hollow-circle-calculator-widget .calculate-btn:hover {\n            background: #0056b3;\n            color: #fff;\n        }\n\n        .hollow-circle-calculator-widget .results {\n            margin-top: 20px;\n            padding: 20px;\n            background: #e9ecef;\n            border-radius: 4px;\n        }\n\n        .hollow-circle-calculator-widget .result-item {\n            margin-bottom: 10px;\n            font-size: 1.1em;\n        }\n\n        .hollow-circle-calculator-widget .result-value {\n            font-weight: bold;\n            color: #007bff;\n        }\n\n        \/* \u54cd\u5e94\u5f0f\u8c03\u6574 *\/\n        @media (max-width: 768px) {\n            .hollow-circle-calculator-widget .calculator-form {\n                grid-template-columns: 1fr;\n            }\n            \n            .hollow-circle-calculator-widget .parameter-list {\n                grid-template-columns: 1fr;\n            }\n        }\n\n        \/* \u91cd\u7f6e\u53ef\u80fd\u5f71\u54cd WordPress \u4e3b\u9898\u7684\u6837\u5f0f *\/\n        .hollow-circle-calculator-widget a,\n        .hollow-circle-calculator-widget button,\n        .hollow-circle-calculator-widget input,\n        .hollow-circle-calculator-widget select {\n            font-family: inherit;\n            line-height: inherit;\n        }\n\n        \/* \u786e\u4fdd\u8ba1\u7b97\u5668\u5bb9\u5668\u4e0d\u4f1a\u5f71\u54cd\u9875\u9762\u6eda\u52a8 *\/\n        .hollow-circle-calculator-widget {\n            overflow: visible;\n        }\n    <\/style>\n<\/head>\n<body>\n    <div class=\"hollow-circle-calculator-widget\">\n        <div class=\"calculator-section\">\n            <h2>\u041f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u044b \u041f\u043e\u044f\u0441\u043d\u0435\u043d\u0438\u0435<\/h2>\n            <div class=\"parameter-list\">\n                <div class=\"parameter-item\">\n                    <strong>\u041c\u0430\u0441\u0441\u0430 (\u0442):<\/strong> \u041c\u0430\u0441\u0441\u0430 \u043e\u0431\u044a\u0435\u043a\u0442\u0430. \u0415\u0434\u0438\u043d\u0438\u0446\u0430 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f: \u043a\u0438\u043b\u043e\u0433\u0440\u0430\u043c\u043c (\u043a\u0433).\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>\u0412\u043d\u0435\u0448\u043d\u0438\u0439 \u0440\u0430\u0434\u0438\u0443\u0441 (R):<\/strong> \u0412\u043d\u0435\u0448\u043d\u0438\u0439 \u0440\u0430\u0434\u0438\u0443\u0441 \u0432\u0440\u0430\u0449\u0435\u043d\u0438\u044f. \u0415\u0434\u0438\u043d\u0438\u0446\u0430 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f: \u043c\u0438\u043b\u043b\u0438\u043c\u0435\u0442\u0440 (\u043c\u043c).\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>\u0412\u043d\u0443\u0442\u0440\u0435\u043d\u043d\u0438\u0439 \u0440\u0430\u0434\u0438\u0443\u0441 (r):<\/strong> \u0412\u043d\u0443\u0442\u0440\u0435\u043d\u043d\u0438\u0439 \u0440\u0430\u0434\u0438\u0443\u0441 \u0432\u0440\u0430\u0449\u0435\u043d\u0438\u044f. \u0415\u0434\u0438\u043d\u0438\u0446\u0430 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f: \u043c\u0438\u043b\u043b\u0438\u043c\u0435\u0442\u0440 (\u043c\u043c).\n                <\/div>\n                <div class=\"parameter-item\">\n                    <strong>\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 (\u0435):<\/strong> \u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043e\u0442 \u0446\u0435\u043d\u0442\u0440\u0430. \u0415\u0434\u0438\u043d\u0438\u0446\u0430 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f: \u043c\u0438\u043b\u043b\u0438\u043c\u0435\u0442\u0440 (\u043c\u043c).\n                <\/div>\n            <\/div>\n            <h2>\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440<\/h2>\n            <form id=\"calculatorForm\" class=\"calculator-form\" action=\"\">\n                <div class=\"input-group\">\n                    <label for=\"mass\">\u041c\u0430\u0441\u0441\u0430 (\u043c)<\/label>\n                    <input type=\"number\" id=\"mass\" step=\"any\" min=\"0\" required placeholder=\"\u043a\u0433\">\n                <\/div>\n                <div class=\"input-group\">\n                    <label for=\"outerRadius\">\u0412\u043d\u0435\u0448\u043d\u0438\u0439 \u0440\u0430\u0434\u0438\u0443\u0441 (R)<\/label>\n                    <input type=\"number\" id=\"outerRadius\" step=\"any\" min=\"0\" required placeholder=\"\u043c\u043c\">\n                <\/div>\n                <div class=\"input-group\">\n                    <label for=\"innerRadius\">\u0412\u043d\u0443\u0442\u0440\u0435\u043d\u043d\u0438\u0439 \u0440\u0430\u0434\u0438\u0443\u0441 (r)<\/label>\n                    <input type=\"number\" id=\"innerRadius\" step=\"any\" min=\"0\" required placeholder=\"\u043c\u043c\">\n                <\/div>\n                <div class=\"input-group\">\n                    <label for=\"distance\">\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 (\u0435)<\/label>\n                    <input type=\"number\" id=\"distance\" step=\"any\" min=\"0\" required placeholder=\"\u043c\u043c\">\n                <\/div>\n                <button type=\"submit\" class=\"calculate-btn\">\u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c<\/button>\n            <input type=\"hidden\" name=\"trp-form-language\" value=\"ru\"\/><\/form>\n        <\/div>\n        <div class=\"calculator-section\" id=\"results-section\" style=\"display: none;\">\n            <h2>\u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b<\/h2>\n            <div id=\"results\" class=\"results\">\n                <div class=\"result-item\">\n                    \u041c\u043e\u043c\u0435\u043d\u0442 \u0438\u043d\u0435\u0440\u0446\u0438\u0438: <span class=\"result-value\" id=\"inertia\"><\/span>\n                <\/div>\n            <\/div>\n        <\/div>\n    <\/div>\n    <script>\n        document.getElementById('calculatorForm').addEventListener('submit', function(e) {\n            e.preventDefault();\n            document.getElementById('results-section').style.display = 'none';\n            document.getElementById('inertia').textContent = '';\n            const mass = parseFloat(document.getElementById('mass').value);\n            const outerRadius = parseFloat(document.getElementById('outerRadius').value);\n            const innerRadius = parseFloat(document.getElementById('innerRadius').value);\n            const distance = parseFloat(document.getElementById('distance').value);\n            if (outerRadius <= innerRadius) {\n                alert('Outer radius (R) must be greater than inner radius (r)');\n                return;\n            }\n            if (mass <= 0) {\n                alert('Mass (m) must be greater than 0');\n                return;\n            }\n            if (distance < 0) {\n                alert('Distance (e) must be 0 or greater');\n                return;\n            }\n            const R_cm = outerRadius \/ 10;\n            const r_cm = innerRadius \/ 10;\n            const inertia = 0.5 * mass * (Math.pow(R_cm, 2) + Math.pow(r_cm, 2));\n            document.getElementById('inertia').textContent = `${inertia.toFixed(2)} kg\u00b7cm\u00b2`;\n            document.getElementById('results-section').style.display = 'block';\n        });\n    <\/script>\n<\/body>\n<\/html>","protected":false},"excerpt":{"rendered":"<p>Discover the efficiency and simplicity of our Hollow Circle Moment of Inertia Calculator, designed to assist engineers and students in determining the moment of inertia&#8230;<\/p>","protected":false},"author":2,"featured_media":15790,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"pmpro_default_level":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3430],"tags":[3647,3648],"class_list":["post-15788","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cam-indexer-selector","tag-hollow-circle-inertia","tag-moment-of-inertia-calculator","pmpro-has-access"],"acf":[],"jetpack_featured_media_url":"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/Hollow-Circle-Moment-of-Inertia-Calculator.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/posts\/15788","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/comments?post=15788"}],"version-history":[{"count":0,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/posts\/15788\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/media\/15790"}],"wp:attachment":[{"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/media?parent=15788"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/categories?post=15788"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mechstream.com\/ru\/wp-json\/wp\/v2\/tags?post=15788"}],"curies":[{"name":"WP","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}