{"id":4651,"date":"2021-01-19T23:12:17","date_gmt":"2021-01-19T22:12:17","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4651"},"modified":"2024-04-23T16:24:18","modified_gmt":"2024-04-23T15:24:18","slug":"how-to-calculate-and-solve-for-dumping-ratio-step-and-frequency-response-dynamic-characteristics-of-instruments","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/01\/19\/how-to-calculate-and-solve-for-dumping-ratio-step-and-frequency-response-dynamic-characteristics-of-instruments\/","title":{"rendered":"How to Calculate and Solve for Dumping Ratio | Step and Frequency Response | Dynamic Characteristics of Instruments"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the dumping ratio | step and frequency response. To calculate the dumping ratio | step and frequency response, three essential parameters are needed: Co-efficient (ao), Co-efficient (a1), and Co-efficient (a2).<\/p>\n

The formula for calculating dumping ratio | step and frequency response:<\/strong><\/h3>\n

\u03b5 =\u00a0a1<\/sub><\/sup>\u00a0\/\u00a02\u221a(ao<\/sub>\u00a0a2<\/sub>)<\/sub><\/p>\n

Where:<\/p>\n

\u03b5 = Dumping Ratio
\nao<\/sub>\u00a0= Co-efficient
\nAlso, a1<\/sub>\u00a0= Co-efficient
\na2<\/sub>\u00a0= Co-efficient<\/p>\n

Let’s solve an example;
\nFind the dumping ratio when the co-efficient is 14, the co-efficient is 7 and the co-efficient is 10.<\/p>\n

This implies that;<\/p>\n

ao<\/sub> = Co-efficient = 14
\na1<\/sub> = Co-efficient = 7
\nAnd then, a2<\/sub> = Co-efficient = 10<\/p>\n

\u03b5 =\u00a0a1<\/sub><\/sup>\u00a0\/\u00a02\u221a(ao<\/sub>\u00a0a2<\/sub>)<\/sub>
\n\u03b5 = 7<\/sup>\u00a0\/\u00a02 x \u221a(14 x 10)<\/sub>
\nThat is, \u03b5 = 7<\/sup>\u00a0\/\u00a02 x \u221a(140)<\/sub>
\n\u03b5 =\u00a07<\/sup>\u00a0\/\u00a02 x 11.83<\/sub>
\nSo, \u03b5 = 7<\/sup>\u00a0\/\u00a023.66<\/sub>
\n\u03b5 = 0.295<\/p>\n

Therefore, the\u00a0dumping ratio | step frequency response\u00a0<\/strong>is\u00a00.295.<\/strong><\/p>\n

Calculating for the Co-efficient when the Dumping Ratio, the Co-efficient and the Co-efficient are Given<\/strong><\/h3>\n

a1<\/sub> = \u03b5 x 2\u221a(ao<\/sub> . a2<\/sub>)<\/p>\n

Where;<\/p>\n

a1<\/sub>\u00a0= Co-efficient
\n\u03b5 = Dumping Ratio
\nao<\/sub>\u00a0= Co-efficient
\na2<\/sub>\u00a0= Co-efficient<\/p>\n

Let’s solve an example;
\nFind the co-efficient when the dumping ratio is 10, the co-efficient is 4 and the co-efficient is 6.<\/p>\n

This implies that;<\/p>\n

\u03b5 = Dumping Ratio = 10
\nao<\/sub> = Co-efficient = 4
\na2<\/sub> = Co-efficient = 6<\/p>\n

a1<\/sub> = \u03b5 x 2\u221a(ao<\/sub> . a2<\/sub>)
\na1<\/sub> = 10 x 2\u221a(4 . 6)
\nSo, a1<\/sub> = 10 x 2\u221a(24)
\na1<\/sub> = 10 x 2(4.89)
\na1<\/sub> = 97.8<\/p>\n

Therefore, the\u00a0dumping ratio | step frequency response\u00a0<\/strong>is\u00a097.8<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Normal Dumping Ratio | Dynamic Characteristics of Instruments<\/a><\/p>\n

How to Calculate Dumping Ratio | Step and Frequency Response Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the dumping ratio | step frequency response.<\/p>\n

To get the answer and workings of the dumping ratio | step frequency response using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 2,000\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0instrumentation\u00a0<\/strong>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Then, Click on Dynamic Characteristics of Instruments\u00a0<\/strong>under\u00a0Instrumentation<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Dumping Ratio | Step Frequency Response <\/strong>under\u00a0Dynamic Characteristics of Instruments<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the dumping ratio | step frequency response according to the respective parameters which is the Co-efficient (ao<\/sub>), Co-efficient (a1<\/sub>)\u00a0<\/strong>and\u00a0Co-efficient (a2<\/sub>).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Co-efficient (ao<\/sub>)<\/strong> is 14<\/strong>, Co-efficient (a1<\/sub>)<\/strong> is 7 <\/strong>and Co-efficient (a2<\/sub>)<\/strong> is 10<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How
\n\"\"<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the dumping ratio | step frequency response and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the dumping ratio | step and frequency response. To calculate the dumping ratio |…","protected":false},"author":5,"featured_media":14378,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Dumping Ratio","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Master the steps and the formula on How to Calculate Dumping Ratio | Step and Frequency Response. Get accurate results with Nickzom","_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":""},"categories":[47],"tags":[1151,1353,1348,60,1329,543],"class_list":["post-4651","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-co-efficient","tag-dumping-ratio","tag-dynamic-characteristics-of-instruments","tag-engineering","tag-instrumentation","tag-materials-and-metallurgical","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Dumping Ratio | Step and Frequency Response | Dynamic Characteristics of Instruments<\/title>\n<meta name=\"description\" content=\"Master the steps and the formula on How to Calculate Dumping Ratio | Step and Frequency Response. 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