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HystereeSis

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- Homework Statement
- See below

- Relevant Equations
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I performed an experiment where I let water flow out of a measuring cylinder through a hole at the base of the measuring cylinder. I let the water run out for 30s, recording the volume after. I did this for different heights of water in the measuring cylinder, and kept the pressure of water at the top of the hole constant by continually adding water to the measuring cylinder (in order to keep the height of water the same). I calculated the flow rate using vol / time and found pressure using P = rho g h. I plotted a graph of flow rate by pressure and got a straight line through the origin, suggesting that flow rate and pressure are directly proportional. Does anyone know a mathematical relationship in terms of fluid dynamics to explain this? I was thinking perhaps Bernoulli's equation but I'm having trouble understanding that as (among other misunderstandings) I have calculated flow rate, not velocity of the water.

I would be so grateful for any help.

I would be so grateful for any help.