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No. Most water meters are of the positive displacement type. They meter actual volume, and are pressure independent. Also note that water flow and pressure are not the same thing. You can have high flow with low pressure, and also low flow with high pressure, depending on the size of the pipe and/or openings (such as valves) and the pressure.

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Q: Does a water meter only measure the time that the water is flowing past it assuming that the water is always flowing at a constant pressure?
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