{"id":2820,"date":"2018-05-26T10:27:27","date_gmt":"2018-05-26T02:27:27","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=2820"},"modified":"2023-08-06T14:27:23","modified_gmt":"2023-08-06T14:27:23","slug":"speed-of-transverse-wave-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/speed-of-transverse-wave-problems-and-solutions.htm","title":{"rendered":"Speed of transverse wave \u2013 problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p align=\"justify\">Speed of transverse wave \u2013 problems and solutions<\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">1. <\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-2823\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/05\/Speed-of-transverse-wave-\u2013-problems-and-solutions-1-300x73.png\" alt=\"Speed of transverse wave \u2013 problems and solutions 1\" width=\"300\" height=\"73\" srcset=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/05\/Speed-of-transverse-wave-\u2013-problems-and-solutions-1-300x73.png 300w, https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/05\/Speed-of-transverse-wave-\u2013-problems-and-solutions-1.png 381w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">If the time interval required to travel from A to B is 2 seconds, determine the speed of the <a href=\"https:\/\/gurumuda.net\/physics\/transverse-waves-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">transverse wave<\/a>.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><u>Known :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><a href=\"https:\/\/gurumuda.net\/physics\/distance-and-displacement-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">Distance <\/span><\/span><\/a><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">A-B = 6 meter<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">s<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">Time interval <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> A-B = 2 <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">seconds<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><u>Wanted:<\/u><\/span><\/span> <span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">Speed of transverse wave<\/span><\/span><!--more--><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">1 <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><a href=\"https:\/\/gurumuda.net\/physics\/mechanical-waves-frequency-period-wavelength-the-wave-speed-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">wavelength<\/a> has 1 crest and 1 trough<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">. <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">There is 4 wavelength between A and B. Distance between A and B is 6 meters so that 1 wavelength <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">(<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">\u03bb) = <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">6 meter<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">s<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> \/ 4 = 1.5 meter<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">s<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">. <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">The t<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">ime interval required to travel from A to B is <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">2 <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">seconds so that the time interval required to travel 1 wavelength <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">= period (T) = 2 se<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">c<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">on<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">ds<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> \/ 4 = 0.5 se<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">c<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">on<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">ds<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">. <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">The equation of the speed of wave :<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\">v<span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> = <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">\u03bb f = \u03bb \/ T <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">v<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> = <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">speed of wave<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">, \u03bb = <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">wavelength<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">, f = <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">frequency<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">, T = p<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">eriod<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">The speed of wave :<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">v = 1.5 meter<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">s<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> \/ 0.5 se<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">conds<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">v = 3 meter<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">s<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">\/se<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">cond<\/span><\/span><\/p>\n<p align=\"justify\"><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">2<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">. <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">If the time interval required to travel from A to B is 8 seconds, determine the speed of transverse wave.<\/span><\/span><\/p>\n<p align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-2824\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/05\/Speed-of-transverse-wave-\u2013-problems-and-solutions-2-300x132.png\" alt=\"Speed of transverse wave \u2013 problems and solutions 2\" width=\"300\" height=\"132\" srcset=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/05\/Speed-of-transverse-wave-\u2013-problems-and-solutions-2-300x132.png 300w, https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/05\/Speed-of-transverse-wave-\u2013-problems-and-solutions-2.png 379w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><u>Known :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><i>There are two wavelength.<\/i><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\">1<span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> wavelength <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">(<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">\u03bb) = 2 x 4 meter<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">s<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> = 8 meter<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">s<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">Period (T) = 8 se<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">conds <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">\/ 2 <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">wavelengths<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> = 4 se<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">c<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">on<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">ds<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> \/ <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">wavelength<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><u>Wanted :<\/u><\/span><\/span> <span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">Speed of wave <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">(v)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">The speed of wave calculated using the equation of the speed of wave :<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">v = f <\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">\u03bb = \u03bb\/T<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">v = 8 meter<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">s<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"> \/ 4 se<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">conds<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">v = 2 meter<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">s<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">\/se<\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\">cond<\/span><\/span><\/p>\n<p align=\"justify\"><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>Speed of transverse wave \u2013 problems and solutions 1. If the time interval required to travel from A to B is 2 seconds, determine the speed of the transverse wave. Known : Distance A-B = 6 meters Time interval A-B = 2 seconds Wanted: Speed of transverse wave<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Speed of transverse wave \u2013 problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-2820","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/2820","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=2820"}],"version-history":[{"count":1,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/2820\/revisions"}],"predecessor-version":[{"id":8542,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/2820\/revisions\/8542"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=2820"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=2820"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=2820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}