Calculate Work to Pump Water Out of Rectangular Tank

Quoc Dat Phung
Quoc Dat Phung
10.8 هزار بار بازدید - 3 سال پیش - An aquarium 2 m long,
An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half the water out the aquarium.

In this video, I will show you how to calculate the work to pump water out of a rectangular tank. There will be five videos like this to help you guys practice.

Basically, the idea behind calculating the work to pump water from one point to another is to use the work formula: Work equals the integral from top to the bottom of density times distance times area.

In simple words, to pump water out of the tank, you consider all the layers of water and pump each layer to the top.

The first step is to place the x and y axis on the top of the box. The second step is to determine where the top and bottom values are. The third step is to determine the density. If the problem provides the length of the tank in meters, then the density is 9880, and once you find the work, the unit is in Joules. In contrast, if the problem provides the length of the tank in ft, then the density is 62.5, and the unit of work is ft-lbs.

I hope this video will help you find these types of problems easier and be able to calculate the amount of work it takes to pump water out of tanks. Make sure to watch all the five videos on this topic to get as much practice as possible.

Please comment below if you have questions, and don't forget to subscribe!

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3 سال پیش در تاریخ 1400/09/26 منتشر شده است.
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