a reservoir dam holds an 8 km2 lake behind it. just behind the dam, the lake is 12.5m deep. what is the gauge pressure at the base of the dam (in pascals)?

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04-11-2022
Physics

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a reservoir dam holds an 8 km2 lake behind it. just behind the dam, the lake is 12.5m deep. what is the gauge pressure at the base of the dam (in pascals)?

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edwardgk12 edwardgk12 · Answer 1 · 2022-11-13T04:08:37-05:00

The gauge pressure at the base of the dam will be 126,175Pa.

What is gauge pressure?
It is the pressure measured relative to the ambient atmospheric pressure. Gauge pressure is typically used in processes where pressure cannot dip below atmospheric pressure, such as when measuring and controlling tire pressure.

Now we're going to use the gauge pressure formula.

Gauge pressure = ρgh

ρ = density of liquid = 1030 kg/m³

g = earth gravity = 9.8 m/s²

h = the depth = 12.5m

Gauge pressure = 1030 * 9.8 * 12.5 = 126,175Pa

So the gauge pressure at the base of the dam is 126,175Pa

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