How to calculate rate at which a carpet can absorb liquid?a

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SUMMARY

The discussion focuses on calculating the rate at which a carpet absorbs liquids, specifically water or oil. The user considers using related rates to determine the volume increase of a rectangular carpet but questions whether the volume actually changes upon absorption. A key suggestion is to measure the change in mass of the carpet as it absorbs liquid, providing a more reliable method for quantifying absorption rates.

PREREQUISITES
  • Understanding of related rates in calculus
  • Knowledge of mass and volume relationships
  • Familiarity with basic principles of fluid absorption
  • Ability to conduct empirical measurements
NEXT STEPS
  • Research methods for measuring liquid absorption in porous materials
  • Learn about the principles of fluid dynamics related to absorption
  • Explore mathematical modeling techniques for volume and mass changes
  • Investigate experimental setups for measuring mass change in carpets
USEFUL FOR

This discussion is beneficial for engineers, material scientists, and anyone involved in textile research or practical applications of liquid absorption in carpets and similar materials.

Elvis 123456789
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Homework Statement


I am trying to figure out how to calculate the rate at which a piece of carpet can absorb a liquid such as water or oil. This is for a real life project. I thought that maybe I could use related rates to solve for the rate of volume increase in the carpet if it was rectangular, but I I'm am not really sure if the volume of the carpet even increases when it absorbs a liquid. I want a solid way to calculate this mathematically but I'm not sure if this is the way?

Homework Equations

The Attempt at a Solution

 
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Elvis 123456789 said:

Homework Statement


I am trying to figure out how to calculate the rate at which a piece of carpet can absorb a liquid such as water or oil. This is for a real life project. I thought that maybe I could use related rates to solve for the rate of volume increase in the carpet if it was rectangular, but I I'm am not really sure if the volume of the carpet even increases when it absorbs a liquid. I want a solid way to calculate this mathematically but I'm not sure if this is the way?
Try to measure change of mass.
 

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