When given unit weight, what is the hydro problem equation for pressure?

Get ready for the SIFT Mechanical Comprehension Test with engaging flashcards and multiple choice questions. Each question offers hints and explanations to optimize learning. Excel in your exam preparation!

The correct answer is based on the fundamental relationship between pressure, unit weight, and height in fluid mechanics. Pressure is defined as the force exerted per unit area. In the context of fluids, the pressure at a certain depth in a fluid is directly proportional to both the height of the fluid above that point and the unit weight of the fluid.

Specifically, the hydrostatic pressure can be calculated using the formula:

[ P = \gamma \cdot h ]

where ( P ) is the pressure, ( \gamma ) (the unit weight) represents the weight density of the fluid, and ( h ) is the height of the fluid column above the point of interest.

Thus, when presented with the unit weight of a fluid and its height, multiplying these two values (unit weight times height) provides the pressure at that particular depth in the fluid. This equation is crucial in various applications, such as calculating the pressure in tanks, pipelines, or when considering the forces exerted by fluids at various depths.

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