{"id":7295,"date":"2024-04-15T02:42:37","date_gmt":"2024-04-15T02:42:37","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7295"},"modified":"2024-04-15T02:42:37","modified_gmt":"2024-04-15T02:42:37","slug":"the-depth-of-the-center-of-pressure-on-a-vertical-rectangular-gate-8-m-wide-and-6-m-high-when-the-water-surface-coincides-with-the-top-of-the-gate-is-a-2-4-m-b-3-0-m-c-4-0-m-d-2-5-m","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-depth-of-the-center-of-pressure-on-a-vertical-rectangular-gate-8-m-wide-and-6-m-high-when-the-water-surface-coincides-with-the-top-of-the-gate-is-a-2-4-m-b-3-0-m-c-4-0-m-d-2-5-m\/","title":{"rendered":"The depth of the center of pressure on a vertical rectangular gate 8 m wide and 6 m high, when the water surface coincides with the top of the gate, is A. 2.4 m B. 3.0 m C. 4.0 m D. 2.5 m"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;2.4 m&#8221; option2=&#8221;3.0 m&#8221; option3=&#8221;4.0 m&#8221; option4=&#8221;2.5 m&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{A) 2.4 m}}$.<\/p>\n<p>The center of pressure is the point on a surface where the total force of the fluid acting on the surface can be considered to be applied. The depth of the center of pressure can be calculated using the following formula:<\/p>\n<p>$$d = \\frac{h}{2} + \\frac{b}{3}$$<\/p>\n<p>where $h$ is the height of the gate and $b$ is the width of the gate.<\/p>\n<p>In this case, $h = 6$ m and $b = 8$ m. Substituting these values into the formula, we get:<\/p>\n<p>$$d = \\frac{6}{2} + \\frac{8}{3} = 2.4\\text{ m}$$<\/p>\n<p>Therefore, the depth of the center of pressure is 2.4 m.<\/p>\n<p>Option B is incorrect because it is the depth of the center of pressure for a gate that is 4 m high. Option C is incorrect because it is the depth of the center of pressure for a gate that is 8 m wide. Option D is incorrect because it is the depth of the center of pressure for a gate that is 2.5 m high.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;2.4 m&#8221; option2=&#8221;3.0 m&#8221; option3=&#8221;4.0 m&#8221; option4=&#8221;2.5 m&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[648],"tags":[],"class_list":["post-7295","post","type-post","status-publish","format-standard","hentry","category-hydraulics-and-fluid-mechanics","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>The depth of the center of pressure on a vertical rectangular gate 8 m wide and 6 m high, when the water surface coincides with the top of the gate, is A. 2.4 m B. 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