{"id":3017,"date":"2020-02-17T01:07:02","date_gmt":"2020-02-17T00:07:02","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=3017"},"modified":"2024-03-30T10:02:32","modified_gmt":"2024-03-30T09:02:32","slug":"how-to-calculate-and-solve-for-hydrostatic-pressure-of-a-dam-water-budget","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/02\/17\/how-to-calculate-and-solve-for-hydrostatic-pressure-of-a-dam-water-budget\/","title":{"rendered":"How to Calculate and Solve for Hydrostatic Pressure of a Dam | Water Budget"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the hydrostatic pressure of a dam. To solve the hydrostatic pressure of a dam, two essential parameters are needed, and these parameters are Specific Weight of Water (\u03b3) and Depth of water (h).<\/strong><\/p>\n

The formula for calculating hydrostatic pressure of a dam:<\/p>\n

Hn<\/sub>\u00a0=\u00a0\u03b3h\u00b2<\/sup>\u00a0\/\u00a02<\/sub><\/p>\n

Where:<\/p>\n

Hn<\/sub>\u00a0= Hydrostatic Pressure of a Dam
\n\u03b3 = Specific Weight of Water
\nh = Depth of Water<\/p>\n

Let’s solve an example;
\nFind the hydrostatic pressure of a dam when the specific weight of water is 10 and the depth of water is 5.<\/p>\n

This implies that;<\/p>\n

\u03b3 = Specific Weight of Water = 10
\nh = Depth of Water = 5<\/p>\n

This means, Hn<\/sub>\u00a0=\u00a0\u03b3h\u00b2<\/sup>\u00a0\/\u00a02<\/sub>
\nHn<\/sub>\u00a0=\u00a0(10)(5)\u00b2<\/sup>\u00a0\/\u00a02<\/sub>
\nThat is, Hn<\/sub>\u00a0=\u00a010(25)<\/sup>\u00a0\/\u00a02<\/sub>
\nHn<\/sub>\u00a0=\u00a0250<\/sup>\u00a0\/\u00a02<\/sub>
\nHn<\/sub> = 125<\/p>\n

Therefore, the hydrostatic pressure of the dam<\/strong>\u00a0is 125<\/b>.<\/p>\n

Calculating the Specific Weight of Water when the Hydrostatic Pressure of the Dam and the Depth of Water are Given<\/strong><\/h3>\n

\u03b3 = Hn<\/sub> x 2<\/sup> \/ h2<\/sup><\/sub><\/p>\n

Where;<\/p>\n

\u03b3 = Specific Weight of Water
\nHn<\/sub>\u00a0= Hydrostatic Pressure of a Dam
\nh = Depth of Water<\/p>\n

Let’s solve an example;
\nFind the specific weight of water when the hydrostatic pressure of a dam is 30 and the depth of water is 6.<\/p>\n

This implies that;<\/p>\n

Hn<\/sub> = Hydrostatic Pressure of a Dam = 30
\nh = Depth of Water = 6<\/p>\n

\u03b3 = Hn<\/sub> x 2<\/sup> \/ h2<\/sup><\/sub>
\nThen, \u03b3 = 30 x 2<\/sup> \/ 62<\/sup><\/sub>
\n\u03b3 = 60<\/sup> \/ 36<\/sub>
\n\u03b3 = 1.667<\/p>\n

Therefore, the\u00a0specific weight of water\u00a0<\/strong>is 1.667.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Entrance Velocity | Darcy’s Law | Water Budget<\/a><\/p>\n

Calculating the Depth of Water when the Hydrostatic Pressure of the Dam and the Specific Weight of Water are Given<\/strong><\/h3>\n

h = \u221aHn<\/sub> x 2<\/sup> \/ \u03b3<\/sub><\/p>\n

Where;<\/p>\n

h = Depth of Water
\nHn<\/sub>\u00a0= Hydrostatic Pressure of a Dam
\n\u03b3 = Specific Weight of Water<\/p>\n

Let’s solve an example;
\nFind the depth of water when the hydrostatic pressure of a dam is 12 and the specific weight of water is 4.<\/p>\n

This implies that;<\/p>\n

Hn<\/sub> = Hydrostatic Pressure of a Dam = 12
\n\u03b3 = Specific Weight of Water = 4<\/p>\n

h = \u221aHn<\/sub> x 2<\/sup> \/ \u03b3<\/sub>
\nh = \u221a12 x 2<\/sup> \/ 4<\/sub>
\nSo, h = \u221a24<\/sup> \/ 4<\/sub>
\nh = \u221a6
\nh = 2.449<\/p>\n

Therefore, the\u00a0depth of water\u00a0<\/strong>is\u00a02.449.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Discharge | Chez’s Equation | Water Budget<\/a><\/p>\n

How to Calculate and Solve for Hydrostatic Pressure of a Dam Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the depth of water.<\/p>\n

To get the answer and workings of the depth of water 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 1,500\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\u00a0Agricultural\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Water Budget\u00a0<\/strong>under\u00a0Agricultural<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Hydrostatic Pressure of a Dam<\/strong> under\u00a0Water Budget<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the hydrostatic pressure of a dam according to the respective parameters which are the Specific Weight of Water (\u03b3) and Depth of water (h).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Specific Weight of Water (\u03b3)<\/strong> is 10 <\/strong>and Depth of water (h)<\/strong> is 5<\/strong>.<\/p>\n

\"How<\/p>\n

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

\"How<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the hydrostatic pressure of a dam and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the hydrostatic pressure of a dam. To solve the hydrostatic pressure of a dam,…","protected":false},"author":5,"featured_media":13520,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_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":[828,84,853,60,854,87,852,827],"class_list":["post-3017","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-agricultural","tag-calculator-encyclopedia","tag-depth-of-water","tag-engineering","tag-hydrostatic-pressure-of-a-dam","tag-nickzom-calculator","tag-specific-weight-of-water","tag-water-budget","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Hydrostatic Pressure of a Dam | Water Budget<\/title>\n<meta name=\"description\" content=\"Learn the steps and formula on How to Calculate and Solve for Hydrostatic Pressure of a Dam | Water Budget. 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