Convert these units.
a) From 1 kg-m\/s2 to 1bm-ft2\/s2.
b) From 1 ft-lb\u0119 to dyne-cm.
c) From 1 lb\/ft2-h to kg\/m2-s.<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n Let’s solve each conversion step by step.<\/p>\n\n\n\n 1 kg\u00b7m\/s\u00b2 is equivalent to 1 Newton (N). We convert it to pound-mass (lbm) and feet:<\/p>\n\n\n\n Thus, [ [ 1 foot-pound force (ft\u00b7lbf) is defined as:<\/p>\n\n\n\n [ Since 1 Joule = ( 10^7 ) dyne\u00b7cm,<\/p>\n\n\n\n [ 1 lb\/ft\u00b2\u00b7h means pounds per square foot per hour. Convert step by step:<\/p>\n\n\n\n [ [ [ Unit conversion is an essential concept in physics and engineering. It allows quantities to be expressed in different measurement systems. Here, we converted three different units using fundamental conversion factors.<\/p>\n\n\n\n In part (a)<\/strong>, we converted Newton (kg\u00b7m\/s\u00b2) to lbm\u00b7ft\/s\u00b2 using the conversion factors for mass (1 kg = 2.20462 lbm) and length (1 m = 3.28084 ft). By multiplying these values, we obtained 7.233 lbm\u00b7ft\/s\u00b2.<\/p>\n\n\n\n For part (b)<\/strong>, we converted foot-pound force (ft\u00b7lbf) to dyne-centimeters (dyne\u00b7cm). Since 1 ft\u00b7lbf equals 1.35582 Joules, and 1 Joule equals ( 10^7 ) dyne\u00b7cm, simple multiplication gave 1.35582 \u00d7 ( 10^7 ) dyne\u00b7cm.<\/p>\n\n\n\n In part (c)<\/strong>, we converted pound per square foot per hour (lb\/ft\u00b2\u00b7h) to kilogram per square meter per second (kg\/m\u00b2\u00b7s). The conversion used fundamental relationships: 1 lb = 0.453592 kg, 1 ft\u00b2 = 0.092903 m\u00b2, and 1 hour = 3600 seconds. After dividing, we obtained 0.001356 kg\/m\u00b2\u00b7s.<\/p>\n\n\n\n Understanding these conversions is crucial in real-world applications such as engineering, physics, and material science. It ensures consistency in calculations, compatibility between different unit systems, and proper analysis of physical phenomena across international standards.<\/p>\n","protected":false},"excerpt":{"rendered":" Convert these units.a) From 1 kg-m\/s2 to 1bm-ft2\/s2.b) From 1 ft-lb\u0119 to dyne-cm.c) From 1 lb\/ft2-h to kg\/m2-s. The correct answer and explanation is : Let’s solve each conversion step by step. (a) Convert 1 kg\u00b7m\/s\u00b2 to lbm\u00b7ft\/s\u00b2 1 kg\u00b7m\/s\u00b2 is equivalent to 1 Newton (N). We convert it to pound-mass (lbm) and feet: Thus,[1 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-203357","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203357","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=203357"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203357\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=203357"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=203357"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=203357"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}(a) Convert 1 kg\u00b7m\/s\u00b2 to lbm\u00b7ft\/s\u00b2<\/strong><\/h3>\n\n\n\n
\n
[
1 \\text{ kg\u00b7m\/s\u00b2} = (1 \\times 2.20462) \\text{ lbm} \\times (1 \\times 3.28084) \\text{ ft\/s\u00b2}
]<\/p>\n\n\n\n
= 2.20462 \\times 3.28084 \\text{ lbm\u00b7ft\/s\u00b2}
]<\/p>\n\n\n\n
= 7.233 lbm\u00b7ft\/s\u00b2
]<\/p>\n\n\n\n(b) Convert 1 ft\u00b7lbf to dyne\u00b7cm<\/strong><\/h3>\n\n\n\n
1 \\text{ ft\u00b7lbf} = 1.35582 \\text{ J}
]<\/p>\n\n\n\n
1.35582 \\times 10^7 = 1.35582 \\times 10^7 \\text{ dyne\u00b7cm}
]<\/p>\n\n\n\n(c) Convert 1 lb\/ft\u00b2\u00b7h to kg\/m\u00b2\u00b7s<\/strong><\/h3>\n\n\n\n
\n
1 \\frac{\\text{lb}}{\\text{ft}^2\\cdot \\text{h}} = \\frac{0.453592}{0.092903 \\times 3600} \\text{ kg\/m}^2\\text{\u00b7s}
]<\/p>\n\n\n\n
= \\frac{0.453592}{334.45}
]<\/p>\n\n\n\n
= 0.001356 \\text{ kg\/m}^2\\text{\u00b7s}
]<\/p>\n\n\n\n
\n\n\n\nExplanation (300 words)<\/strong><\/h3>\n\n\n\n