Calculus Work Pumping Water Rectangular Tank. 6 HW: WORK: Pumping Water from the tank example MathSlopes with Juli

6 HW: WORK: Pumping Water from the tank example MathSlopes with Julia 6. The weight of that red section is its volume times the A rectangular swimming pool 50 ft long, 10 ft wide, and 14 ft deep is filled with water to a depth of 12 ft. (The water weighs 62. Another useful example of the application of integration to compute work comes in the pumping of fluids, often illustrated in the context of emptying a storage tank by pumping the fluid out the top. Next vide AboutPressCopyrightContact usCreatorsAdvertiseDevelopersTermsPrivacyPolicy & SafetyHow . 13K subscribers Subscribed In short, all you've computed in the last integral is the weight of the water, not the work applied to pump it out of the tank. Show Video Lesson To lift that little red section of water out of the tank, you have to apply a force equal to its weight over the distance of "y". Check out my 100 Calculus 2 problems to help you with your calc 2 final: https://youtu. 4 pounds per cubic foot. Application of integration. The example shows the volume of the tank rotated aroun Pumping water out of a bucket, calculating work, calculus 2 tutorialCheck out my 100 Calculus 2 problems to help you with your calc 2 final: https://youtu. be/Kwy Converging & Diverging Sequences | Calculus 2 Lesson 18 - JK Math Improper Integrals | Calculus 2 Lesson 17 - JK Math Pumping water out of a spherical tank, calculating work, calculus 2 tutorial 3. This involves imaging a cross-sectional slab of the liquid In short, all you've computed in the last integral is the weight of the water, not the work applied to pump it out of the tank. To calculate this, we imagine the work required to lift small disks of liquid up and out of the tank. Find the work required to pump all the oil out through a hole in the top of the tank. com for more math and science lectures!In this video I will calculate W=? of pumping all the water out a full fish tank. A rectangular tank with a base 4 feet by 5 feet and a height of 4 feet is full of water. Calculus 2 tutorial. Pumping problems are a little more complicated than spring problems because many of the calculations depend on How To Find the Work Done in Pumping Fuel Out of a Tank with Trapezoidal Cross Sections In this video we look at how to solve a work problem involving pumping a fluid out a tank. Pumping liquid out of the top of a tank requires work because the liquid is moving against gravity. 7. Calculating the work it needs to pump the water out of a rectangular tank. The missing factor is the vertical displacement to the How to find the work required to pump the water out of the tank. In this video I'm showing you a good example of how to find the work required to pump the water out of the spout. Visit http://ilectureonline. be Key Insights 💦 The work required to pump out a slice of water depends on the force (weight of the water), the distance (height of the water slice), and the volume (length, width, Hi everyone, I looked around on the website and saw some other posts for how to calculate the amount of work it takes to pump water out of a tank but I have a slight variation Calculating Work, pumping water out of a circular swimming pool. Calculating the Work Required to Drain a Tank - Using Calculus One complete example is shown along with a general procedure to follow. ) How much work is done in pumping water out over the top Work Done Pumping Water Out of Rectangular Tank Shawna Haider 1. We also learn how to solve problems using Hooke's Law, pumping water from a tank, lifting an object Another useful example of the application of integration to compute work comes in the pumping of fluids, often illustrated in the context of emptying This is an example showing the steps to calculate work when pumping a liquid from a cylindrical tank. The missing factor is the vertical displacement to the A spherical tank of radius 8 feet is half full of oil that weighs 50 pounds per cubic foot. 1K subscribers Subscribe This video shows how to solve work problems in calculus. Use an integral to find the work required to pump Consider the work done to pump water (or some other liquid) out of a tank. Expanding on the concept of Work, today we will be pumping a liquid from a tank of some sort, and finding the work needed to do so.

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