{"id":10674,"date":"2022-11-17T11:00:30","date_gmt":"2022-11-17T05:30:30","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=10674"},"modified":"2022-11-18T11:02:35","modified_gmt":"2022-11-18T05:32:35","slug":"understanding-pressure-using-pascals-principle","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/understanding-pressure-using-pascals-principle\/","title":{"rendered":"Understanding Pressure Using Pascal\u2019s Principle"},"content":{"rendered":"<h2><strong>Understanding Pressure Using Pascal\u2019s Principle<\/strong><\/h2>\n<p>&nbsp;<\/p>\n<ol>\n<li>A boy applies pressure on a tube of toothpaste. The <a href=\"https:\/\/www.aplustopper.com\/thrust-and-pressure\/\">pressure<\/a> applied to the tube is transmitted throughout the toothpaste and <a href=\"https:\/\/www.aplustopper.com\/force\/\">forces<\/a> it out of the opening of the tube.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92468 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-1.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 1\" width=\"178\" height=\"141\" \/><\/li>\n<li>Figure shows a boy holding a plastic bag with holes. When he squeezes the plastic bag, the water squirts from all the holes in all directions.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92470 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-2.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 2\" width=\"304\" height=\"194\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-2.png 304w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-2-300x191.png 300w\" sizes=\"(max-width: 304px) 100vw, 304px\" \/><\/li>\n<li>Figure shows an apparatus that consists of a glass barrel fitted to a plunger and ending with a bulb with holes of uniform size. This apparatus is fully filled with water. When the plunger is pushed in, water squirts equally from all the holes.<\/li>\n<li>From above Figures, it is shown that<br \/>\n(a) when pressure is applied on a liquid, it is transmitted throughout the liquid.<br \/>\n(b) the pressure acts in all directions.<\/li>\n<li><strong>Pascal\u2019s principle<\/strong> states that pressure applied to an enclosed fluid is transmitted uniformly to every part of the fluid and to the walls of the container of the fluid.<\/li>\n<li>Figure shows a big and a small syringe connected by a rubber tube. The syringes and rubber tube are filled with water.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92473 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-3.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 3\" width=\"404\" height=\"261\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-3.png 404w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-3-300x194.png 300w\" sizes=\"(max-width: 404px) 100vw, 404px\" \/>(a) A force, F<sub>1<\/sub>\u00a0acting on the small syringe is balanced by a force, F<sub>2<\/sub>\u00a0acting on the large syringe.<br \/>\n(b) According to Pascal\u2019s principle, the pressure Fj, exerted by the small piston, on the water is equal to the pressure, P, exerted by the large piston on the water.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92474 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-4.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 4\" width=\"352\" height=\"315\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-4.png 352w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-4-300x268.png 300w\" sizes=\"(max-width: 352px) 100vw, 352px\" \/><\/li>\n<li>Pascal\u2019s principle can be used as a <strong>force multiplier<\/strong> in a hydraulic system. Figure shows a small input force, F<sub>1<\/sub>\u00a0on the small piston can result in a big output force, F<sub>2<\/sub>\u00a0on the big piston. From the above formula, we get:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92478 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-5.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 5\" width=\"169\" height=\"70\" \/><\/li>\n<\/ol>\n<h2><strong>Applications of Pascal\u2019s Principle<\/strong><\/h2>\n<ol>\n<li>Figure shows a hydraulic jack lifting the back portion of a car.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92480 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-10.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 10\" width=\"335\" height=\"147\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-10.png 335w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-10-300x132.png 300w\" sizes=\"(max-width: 335px) 100vw, 335px\" \/>(a) When the small piston is pulled up, valve B opens and valve A closes. Hydraulic oil is drawn from the reservoir into the space under the small piston.<br \/>\n(b) When the small piston is pushed down, valve A opens and valve B closes. Hydraulic oil is forced through valve A and raises the large piston.<br \/>\n(c) Continuous up-and-down movements of the small piston will cause the large piston to move up to lift the car.<br \/>\n(d) When the release valve is opened, the weight of the car will force the large piston downward, pushing the hydraulic oil back into the reservoir. The car will be lowered.<\/li>\n<li>An automobile hydraulic brake system consists of a master cylinder attached to the brake pedal and various slaves cylinders near the wheels.<br \/>\nFigure shows the brake system of a car.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92481 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-11.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 11\" width=\"409\" height=\"247\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-11.png 409w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-11-300x181.png 300w\" sizes=\"(max-width: 409px) 100vw, 409px\" \/>(a) When the brake pedal of a car is pressed, pressure is exerted on the brake fluid (oil) and is transmitted uniformly from the master cylinder, through the pipe, to the slave cylinders near the wheels.<br \/>\n(b) This will move the slave pistons forward, forcing the brake pads against the discs or drums attached to the wheels to slow down the car.<br \/>\n(c) However, it is important to note that this system works only because of the fact that the brake fluid is incompressible.<br \/>\n(d) If there is an air bubble in the system, then the pressure applied to the piston in the master cylinder will not be effectively transferred to the slave cylinders as the air bubble is compressible. This will affect the moving of the pistons in the slave cylinders and result in the car not being able to stop or slow down effectively.<\/li>\n<li>A power shovel applies the Pascal\u2019s principle in its operation. Figure shows a power shovel at work. It uses hydraulic cylinders to manipulate its boom and bucket to dig, lift or dump material.<br \/>\n<strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92483 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-12.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 12\" width=\"313\" height=\"252\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-12.png 313w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-12-300x242.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><\/strong><\/li>\n<\/ol>\n<h2><strong>Pascal\u2019s Principle Example Problems with Solutions<\/strong><\/h2>\n<p><strong>Example 1.<\/strong> In the hydraulic system shown in Figure, an input force of 10 N is used to balance an output force, F<sub>2<\/sub>.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92485\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-6.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 6\" width=\"379\" height=\"169\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-6.png 379w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-6-300x134.png 300w\" sizes=\"(max-width: 379px) 100vw, 379px\" \/><br \/>\nCalculate the value of F<sub>2<\/sub>.<br \/>\n<strong>Solution:<br \/>\n<\/strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92486\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-5-1.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 5\" width=\"169\" height=\"70\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92487\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-7.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 7\" width=\"137\" height=\"63\" \/><\/p>\n<p><strong>Example 2.<\/strong> Figure shows an activity to demonstrate the hydraulic system as a force multiplier. A small boy uses a force of 8 N to press the piston of the small syringe with a cross-sectional area of 1.6 cm<sup>2<\/sup>. His elder brother presses the piston of the large syringe with a cross-sectional area of 64 cm<sup>2<\/sup>.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92527\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-8.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 8\" width=\"370\" height=\"255\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-8.png 370w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-8-300x207.png 300w\" sizes=\"(max-width: 370px) 100vw, 370px\" \/><br \/>\nWhat is the minimum force that the. elder brother needs to apply so that the piston of the large syringe will not be forced to move backward?<br \/>\n<strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-92528\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/03\/Understanding-Pressure-Using-Pascal\u2019s-Principle-9.png\" alt=\"Understanding Pressure Using Pascal\u2019s Principle 9\" width=\"167\" height=\"89\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Understanding Pressure Using Pascal\u2019s Principle &nbsp; A boy applies pressure on a tube of toothpaste. The pressure applied to the tube is transmitted throughout the toothpaste and forces it out of the opening of the tube. Figure shows a boy holding a plastic bag with holes. When he squeezes the plastic bag, the water squirts [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[404],"tags":[3821,681,3823,3822],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v17.8) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Understanding Pressure Using Pascal\u2019s Principle - A Plus Topper<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aplustopper.com\/understanding-pressure-using-pascals-principle\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Understanding Pressure Using Pascal\u2019s Principle\" \/>\n<meta property=\"og:description\" content=\"Understanding Pressure Using Pascal\u2019s Principle &nbsp; A boy applies pressure on a tube of toothpaste. 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The pressure applied to the tube is transmitted throughout the toothpaste and forces it out of the opening of the tube. Figure shows a boy holding a plastic bag with holes. 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