{"id":6859,"date":"2024-04-15T02:35:14","date_gmt":"2024-04-15T02:35:14","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6859"},"modified":"2024-04-15T02:35:14","modified_gmt":"2024-04-15T02:35:14","slug":"if-a-flywheel-increases-its-speed-from-10-rpm-to-20-rpm-in-10-seconds-then-its-angular-acceleration-is-a-3-14-rad-sec-10-b-3-14-rad-sec-20-c-3-14-rad-sec-30-d-none-of-the-above","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-a-flywheel-increases-its-speed-from-10-rpm-to-20-rpm-in-10-seconds-then-its-angular-acceleration-is-a-3-14-rad-sec-10-b-3-14-rad-sec-20-c-3-14-rad-sec-30-d-none-of-the-above\/","title":{"rendered":"If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is A. 3.14 rad\/sec 10 B. 3.14 rad\/sec 20 C. 3.14 rad\/sec 30 D. None of the above"},"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_6ab2c481a1d22\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    3.14 rad\/sec 10                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    3.14 rad\/sec 20                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    3.14 rad\/sec 30                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    None of the above                <\/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 $\\boxed{\\text{D}}$.<\/p>\n<p>The angular acceleration is the rate of change of angular velocity. It is measured in radians per second squared (rad\/s$^2$).<\/p>\n<p>To calculate the angular acceleration, we need to know the initial angular velocity, the final angular velocity, and the time interval over which the change in angular velocity occurred. In this case, we are given that the initial angular velocity is 10 rpm, the final angular velocity is 20 rpm, and the time interval is 10 seconds.<\/p>\n<p>To convert from rpm to rad\/s, we use the following conversion factor:<\/p>\n<p>1 rpm = $\\frac{2\\pi}{60}$ rad\/s<\/p>\n<p>Therefore, the initial angular velocity is:<\/p>\n<p>$\\omega_i = 10 \\text{ rpm} \\times \\frac{2\\pi}{60} \\text{ rad\/s} = \\frac{\\pi}{3}$ rad\/s<\/p>\n<p>The final angular velocity is:<\/p>\n<p>$\\omega_f = 20 \\text{ rpm} \\times \\frac{2\\pi}{60} \\text{ rad\/s} = \\frac{2\\pi}{3}$ rad\/s<\/p>\n<p>The angular acceleration is:<\/p>\n<p>$\\alpha = \\frac{\\omega_f &#8211; \\omega_i}{t} = \\frac{\\frac{2\\pi}{3} &#8211; \\frac{\\pi}{3}}{10 \\text{ s}} = \\frac{\\pi}{30}$ rad\/s$^2$<\/p>\n<p>Therefore, the angular acceleration <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                    <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  <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>           <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> of the flywheel is $\\frac{\\pi}{30}$ rad\/s$^2$. This means that the flywheel&#8217;s angular velocity is increasing at a rate of $\\frac{\\pi}{30}$ radians per second per second.<\/p>\n<p>Option A is incorrect because it is the initial angular velocity of the flywheel. Option B is incorrect because it is the final angular velocity of the flywheel. Option C is incorrect because it is the angular acceleration of the flywheel multiplied by 10.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel 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>If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is A. 3.14 rad\/sec 10 B. 3.14 rad\/sec 20 C. 3.14 rad\/sec 30 D. 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