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A series of free Calculus Video Lessons: How to Calculate the Work Required to Drain a Tank Using Calculus, How to Using integration to calculate the amount of work done pumping fluid, how to find the work required to lift a rope to the top of a building.
Calculating the Work Required to Drain a Tank - Using Calculus
One complete example is shown along with a general procedure to
Applications of Integrals - Pumping (Work)
Using integration to calculate the amount of work done pumping
Lifting a Leaky Bag of Sand
Demonstrates the use of integration to calculate the work done
lifting a leaky bag of sand.
Finding Work using Calculus - The Cable/Rope Problem.
This video shows how to find the work required to lift a rope to the
top of a building.
Finding Work using Calculus - The Cable/Rope Problem - Part b.
In this video, I find the work required to lift up only HALF of the
rope to the top of the building.
Pump oil from inverted cone
Example: An inverted conical tank with a height of 20 m and a base diameter of 25 m contains oil with density 800 kg/m3
. The height of the oil is 10 m. How much work is involved in pumping all the oil out the top of the tank?
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