Calculating Water in a Tank Over Time

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Homework Help Overview

The discussion revolves around calculating the amount of water in a tank over time, considering both the inflow and outflow rates of water. The subject area includes fluid dynamics and algebraic modeling.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need for an equation to model the situation, with some suggesting to start with basic statements before introducing variables. Questions about the necessary information and how to structure the problem are raised.

Discussion Status

There is an ongoing exploration of how to set up the problem, with some guidance provided on considering initial conditions and rates of water flow. Multiple interpretations of how to approach the equation are being discussed, but no consensus has been reached.

Contextual Notes

Participants mention specific information needed, such as the initial volume of water and the rates of inflow and outflow, but there is no resolution on how to integrate these into a final equation.

Idea04
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How would I be able to calculate the amount of water in a tank after a certain amount of time when there would be a certain amount of water entering the tank with more water exiting the tank at the same time?
 
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Set up an equation and... solve it.

- Warren
 
is there an equation I can use?
 
is there an equation I can use?
 
Think about what information you have and what you're trying to find out. I presume you know:

At t=0 volume of water in the tank
the rate at which water enters
the rate at which water exits

This really should be enough if you think about the problem.
 
Try setting up a basic equation using simple statements in English, not variables first. Something like...

Water in tank = (Water previously in tank)+(water coming in)-(water going out)

Now try to figure out an equation for each term.
 

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