{"id":6835,"date":"2024-04-15T02:34:53","date_gmt":"2024-04-15T02:34:53","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6835"},"modified":"2024-04-15T02:34:53","modified_gmt":"2024-04-15T02:34:53","slug":"maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1\/","title":{"rendered":"Maximum efficiency of a screw jack for the angle of friction $$\\theta $$, is A. $$\\frac{{\\sin \\theta }}{{1 + \\sin \\theta }}$$ B. $$\\frac{{1 &#8211; \\sin \\theta }}{{\\sin \\theta }}$$ C. $$\\frac{{1 + \\sin \\theta }}{{1 &#8211; \\sin \\theta }}$$ D. $$\\frac{{1 &#8211; \\sin \\theta }}{{1 + \\sin \\theta }}$$"},"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_6ab1e27ea9780\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    $$\frac{{sin \theta }}{{1 + sin \theta }}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    $$\frac{{1 - sin \theta }}{{sin \theta }}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    $$\frac{{1 + sin \theta }}{{1 - sin \theta }}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    $$\frac{{1 - sin \theta }}{{1 + sin \theta }}$$                <\/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 $\\boxed{\\frac{{1 &#8211; \\sin \\theta }}{{1 + \\sin \\theta }}}$.<\/p>\n<p>The efficiency of a screw jack is the ratio of the output force to the input force. The output force is the force that is applied to the load, and the input force is the force that is applied to the screw. The angle of friction is the angle between the direction of the input force and the direction of the output force.<\/p>\n<p>The maximum efficiency of a screw jack occurs when the angle of friction is equal to the angle of the threads on the screw. The angle of the threads on a screw is the angle between the helix of the screw and the horizontal.<\/p>\n<p>The following <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            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> equation can be used to calculate the efficiency of a screw jack:<\/p>\n<p>$$\\eta = \\frac{{1 &#8211; \\sin \\theta }}{{1 + \\sin \\theta }}$$<\/p>\n<p>where $\\theta$ is the angle of friction.<\/p>\n<p>The efficiency of a screw <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> jack is always less than 1. This is because there is always some friction between the screw and the nut. The friction causes some of the input force to be lost as heat.<\/p>\n<p>The efficiency of a screw jack can be improved by using a lubricant to reduce friction. The efficiency of a screw jack can also be improved by using a screw with a smaller angle of the threads.<\/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>Maximum efficiency of a screw jack for the angle of friction $$\\theta $$, is A. $$\\frac{{\\sin \\theta }}{{1 + \\sin \\theta }}$$ B. $$\\frac{{1 - \\sin \\theta }}{{\\sin \\theta }}$$ C. $$\\frac{{1 + \\sin \\theta }}{{1 - \\sin \\theta }}$$ D. $$\\frac{{1 - \\sin \\theta }}{{1 + \\sin \\theta }}$$<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Maximum efficiency of a screw jack for the angle of friction $$\\theta $$, is A. $$\\frac{{\\sin \\theta }}{{1 + \\sin \\theta }}$$ B. $$\\frac{{1 - \\sin \\theta }}{{\\sin \\theta }}$$ C. $$\\frac{{1 + \\sin \\theta }}{{1 - \\sin \\theta }}$$ D. $$\\frac{{1 - \\sin \\theta }}{{1 + \\sin \\theta }}$$\" \/>\n<meta property=\"og:description\" content=\"Join Our Telegram Channel Subscribe on YouTube\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:34:53+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Maximum efficiency of a screw jack for the angle of friction $$\\theta $$, is A. $$\\frac{{\\sin \\theta }}{{1 + \\sin \\theta }}$$ B. $$\\frac{{1 - \\sin \\theta }}{{\\sin \\theta }}$$ C. $$\\frac{{1 + \\sin \\theta }}{{1 - \\sin \\theta }}$$ D. $$\\frac{{1 - \\sin \\theta }}{{1 + \\sin \\theta }}$$","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1\/","og_locale":"en_US","og_type":"article","og_title":"Maximum efficiency of a screw jack for the angle of friction $$\\theta $$, is A. $$\\frac{{\\sin \\theta }}{{1 + \\sin \\theta }}$$ B. $$\\frac{{1 - \\sin \\theta }}{{\\sin \\theta }}$$ C. $$\\frac{{1 + \\sin \\theta }}{{1 - \\sin \\theta }}$$ D. $$\\frac{{1 - \\sin \\theta }}{{1 + \\sin \\theta }}$$","og_description":"Join Our Telegram Channel Subscribe on YouTube","og_url":"https:\/\/exam.pscnotes.com\/mcq\/maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:34:53+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1\/","url":"https:\/\/exam.pscnotes.com\/mcq\/maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1\/","name":"Maximum efficiency of a screw jack for the angle of friction $$\\theta $$, is A. $$\\frac{{\\sin \\theta }}{{1 + \\sin \\theta }}$$ B. $$\\frac{{1 - \\sin \\theta }}{{\\sin \\theta }}$$ C. $$\\frac{{1 + \\sin \\theta }}{{1 - \\sin \\theta }}$$ D. $$\\frac{{1 - \\sin \\theta }}{{1 + \\sin \\theta }}$$","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:34:53+00:00","dateModified":"2024-04-15T02:34:53+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/maximum-efficiency-of-a-screw-jack-for-the-angle-of-friction-theta-is-a-fracsin-theta-1-sin-theta-b-frac1-sin-theta-sin-theta-c-frac1\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Civil engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/"},{"@type":"ListItem","position":4,"name":"Applied mechanics and graphic statics","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/applied-mechanics-and-graphic-statics\/"},{"@type":"ListItem","position":5,"name":"Maximum efficiency of a screw jack for the angle of friction $$\\theta $$, is A. $$\\frac{{\\sin \\theta }}{{1 + \\sin \\theta }}$$ B. $$\\frac{{1 &#8211; \\sin \\theta }}{{\\sin \\theta }}$$ C. $$\\frac{{1 + \\sin \\theta }}{{1 &#8211; \\sin \\theta }}$$ D. $$\\frac{{1 &#8211; \\sin \\theta }}{{1 + \\sin \\theta }}$$"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/6835"}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=6835"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/6835\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=6835"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=6835"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=6835"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}