(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Technically not homework, but could still qualify as one.

Let's say we have container being filled (with an incompressible fluid for completeness sake) by a pipe of radiusr. We have the initial present volume(expressed asxseems best in light of the latter parts of the expression), we have a certain flow rate and the rate at which this flow increases. At a certain point_{0}ta specific amount_{divert}DivertAmountof this flow is diverted away.

How can I find the total volume in the container at the endt?

2. Relevant equations

x = x_{0}+ v_{0}t + 1/2*at^{2}

3. The attempt at a solution

Vol_{total}= ((x_{0}+v_{0}*(t_{divert})+1/2*a*POWER(t_{divert},2))+((v_{0}+a*(t_{divert}))*(t-t_{divert})+(1/2*a*POWER(t-t_{divert},2)))*DivertAmount)*π*r^{2}

Hopefully correct, but I'm not sure.

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# Homework Help: Volume in container after flow

Can you offer guidance or do you also need help?

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