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

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To calculate the rate at which a carpet absorbs liquid, measuring the change in mass over time is suggested as a reliable method. The discussion raises the question of whether the carpet's volume actually increases upon absorption, which remains uncertain. Using related rates may not be the most effective approach for this scenario. A mathematical model should focus on the mass of liquid absorbed rather than volume changes. Accurate calculations will depend on empirical measurements of absorption rates.
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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?

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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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