{"id":6781,"date":"2024-04-15T02:34:04","date_gmt":"2024-04-15T02:34:04","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6781"},"modified":"2024-04-15T02:34:04","modified_gmt":"2024-04-15T02:34:04","slug":"a-flywheel-of-moment-of-inertia-20-kg-m-is-acted-upon-by-a-tangential-force-of-5-n-at-2-m-from-its-axis-for-3-seconds-the-increase-in-angular-velocity-in-radian-per-second-is-a-frac12-b","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-flywheel-of-moment-of-inertia-20-kg-m-is-acted-upon-by-a-tangential-force-of-5-n-at-2-m-from-its-axis-for-3-seconds-the-increase-in-angular-velocity-in-radian-per-second-is-a-frac12-b\/","title":{"rendered":"A flywheel of moment of inertia 20 kg.m is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is A. $$\\frac{1}{2}$$ B. $$\\frac{3}{2}$$ C. 2 D. 3"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9e9b7a27a85\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    $$\frac{1}{2}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    $$\frac{3}{2}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    2                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    3                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is $\\boxed{\\frac{3}{2}}$.<\/p>\n<p>The angular acceleration is given by $\\alpha = \\frac{F}{I}$, where $F$ is the tangential force and $I$ is the moment of inertia. In this case, $F = 5 \\text{ N}$ and $I = 20 \\text{ kg.m}^2$, so $\\alpha = \\frac{5 \\text{ N}}{20 \\text{ kg.m}^2} = \\frac{1}{4} \\text{ rad\/s}^2$.<\/p>\n<p>The angular velocity is given by $\\omega = \\omega_0 + \\alpha t$, where $\\omega_0$ is the initial angular velocity and $t$ is the time. In this case, $\\omega_0 = 0$, so $\\omega = \\frac{1}{4} \\text{ rad\/s}^2 \\times 3 \\text{ s} = \\frac{3}{2} \\text{ rad\/s}$.<\/p>\n<p>Therefore, the increase in angular velocity in radian per second is $\\boxed{\\frac{3}{2}}$.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option A: $\\frac{1}{2}$. This is the angular acceleration of the flywheel. However, the question is asking for the increase in angular velocity, not the angular acceleration.<\/li>\n<li>Option B: $\\frac{3}{2}$. This is the correct answer. The angular acceleration is $\\frac{1}{4} \\text{ rad\/s}^2$, and the time is 3 seconds, so the increase in angular velocity is $\\frac{1}{4} \\text{ rad\/s}^2 \\times 3 \\text{ s} = \\frac{3}{2} \\text{ rad\/s}$.<\/li>\n<li>Option C: 2. This is the angular velocity of the flywheel after 3 <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n   <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div>                  <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> seconds. However, the question is asking for the increase in angular velocity, not the angular velocity itself.<\/li>\n<li>Option D: 3. This is the angular acceleration of the flywheel multiplied by the time. However, the question is asking for the increase in angular velocity, not the angular acceleration multiplied by the time.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[645],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A flywheel of moment of inertia 20 kg.m is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. 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