{"id":8063,"date":"2024-04-15T02:54:32","date_gmt":"2024-04-15T02:54:32","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=8063"},"modified":"2024-04-15T02:54:32","modified_gmt":"2024-04-15T02:54:32","slug":"a-train-is-hauled-by-2-8-2-locomotive-with-22-5-tonnes-and-on-each-driving-axle-assuming-the-coefficient-of-rail-wheel-friction-to-be-0-25-what-would-be-the-hauling-capacity-of-the-locomotive-a-15","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-train-is-hauled-by-2-8-2-locomotive-with-22-5-tonnes-and-on-each-driving-axle-assuming-the-coefficient-of-rail-wheel-friction-to-be-0-25-what-would-be-the-hauling-capacity-of-the-locomotive-a-15\/","title":{"rendered":"A train is hauled by 2-8-2 locomotive with 22.5 tonnes and on each driving axle. Assuming the coefficient of rail-wheel friction to be 0.25, what would be the hauling capacity of the locomotive? A. 15.0 tonnes B. 22.5 tonnes C. 45.0 tonnes D. 90.0 tonnes"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;15.0 tonnes&#8221; option2=&#8221;22.5 tonnes&#8221; option3=&#8221;45.0 tonnes&#8221; option4=&#8221;90.0 tonnes&#8221; correct=&#8221;option4&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{C}}$, 45.0 tonnes.<\/p>\n<p>The hauling capacity of a locomotive is the maximum weight of the train that it can pull. It is determined by the locomotive&#8217;s power, the coefficient of rail-wheel friction, and the weight of the locomotive itself.<\/p>\n<p>The power of a locomotive is the amount of force that it can exert on the train. It is measured in horsepower (hp). The coefficient of rail-wheel friction is a measure of how much friction there is between the wheels of the locomotive and the rails. It is a dimensionless number between 0 and 1. The weight of the locomotive is the force that the locomotive exerts on the rails.<\/p>\n<p>The hauling capacity of a locomotive can be calculated using the following formula:<\/p>\n<p>$H = \\frac{P}{f} + W$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$H$ is the hauling capacity of the locomotive in tonnes<\/li>\n<li>$P$ is the power of the locomotive in hp<\/li>\n<li>$f$ is the coefficient of rail-wheel friction<\/li>\n<li>$W$ is the weight of the locomotive in tonnes<\/li>\n<\/ul>\n<p>In this case, the power of the locomotive is 22.5 hp, the coefficient of rail-wheel friction is 0.25, and the weight of the locomotive is 22.5 tonnes. Substituting these values into the formula gives:<\/p>\n<p>$H = \\frac{22.5 \\text{ hp}}{0.25} + 22.5 \\text{ tonnes} = 45.0 \\text{ tonnes}$<\/p>\n<p>Therefore, the hauling capacity of the locomotive is 45.0 tonnes.<\/p>\n<p>Option A is incorrect because it is the weight of the locomotive itself, not the hauling capacity. Option B is incorrect because it is the coefficient of rail-wheel friction, not the hauling capacity. Option D is incorrect because it is the power of the locomotive, not the hauling capacity.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;15.0 tonnes&#8221; option2=&#8221;22.5 tonnes&#8221; option3=&#8221;45.0 tonnes&#8221; option4=&#8221;90.0 tonnes&#8221; correct=&#8221;option4&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[653],"tags":[],"class_list":["post-8063","post","type-post","status-publish","format-standard","hentry","category-railway-engineering","no-featured-image-padding"],"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 train is hauled by 2-8-2 locomotive with 22.5 tonnes and on each driving axle. Assuming the coefficient of rail-wheel friction to be 0.25, what would be the hauling capacity of the locomotive? A. 15.0 tonnes B. 22.5 tonnes C. 45.0 tonnes D. 90.0 tonnes<\/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\/a-train-is-hauled-by-2-8-2-locomotive-with-22-5-tonnes-and-on-each-driving-axle-assuming-the-coefficient-of-rail-wheel-friction-to-be-0-25-what-would-be-the-hauling-capacity-of-the-locomotive-a-15\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A train is hauled by 2-8-2 locomotive with 22.5 tonnes and on each driving axle. Assuming the coefficient of rail-wheel friction to be 0.25, what would be the hauling capacity of the locomotive? 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Assuming the coefficient of rail-wheel friction to be 0.25, what would be the hauling capacity of the locomotive? A. 15.0 tonnes B. 22.5 tonnes C. 45.0 tonnes D. 90.0 tonnes","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\/a-train-is-hauled-by-2-8-2-locomotive-with-22-5-tonnes-and-on-each-driving-axle-assuming-the-coefficient-of-rail-wheel-friction-to-be-0-25-what-would-be-the-hauling-capacity-of-the-locomotive-a-15\/","og_locale":"en_US","og_type":"article","og_title":"A train is hauled by 2-8-2 locomotive with 22.5 tonnes and on each driving axle. Assuming the coefficient of rail-wheel friction to be 0.25, what would be the hauling capacity of the locomotive? A. 15.0 tonnes B. 22.5 tonnes C. 45.0 tonnes D. 90.0 tonnes","og_description":"[amp_mcq option1=&#8221;15.0 tonnes&#8221; option2=&#8221;22.5 tonnes&#8221; option3=&#8221;45.0 tonnes&#8221; option4=&#8221;90.0 tonnes&#8221; correct=&#8221;option4&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-train-is-hauled-by-2-8-2-locomotive-with-22-5-tonnes-and-on-each-driving-axle-assuming-the-coefficient-of-rail-wheel-friction-to-be-0-25-what-would-be-the-hauling-capacity-of-the-locomotive-a-15\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:54:32+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\/a-train-is-hauled-by-2-8-2-locomotive-with-22-5-tonnes-and-on-each-driving-axle-assuming-the-coefficient-of-rail-wheel-friction-to-be-0-25-what-would-be-the-hauling-capacity-of-the-locomotive-a-15\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-train-is-hauled-by-2-8-2-locomotive-with-22-5-tonnes-and-on-each-driving-axle-assuming-the-coefficient-of-rail-wheel-friction-to-be-0-25-what-would-be-the-hauling-capacity-of-the-locomotive-a-15\/","name":"A train is hauled by 2-8-2 locomotive with 22.5 tonnes and on each driving axle. 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