If density is provided, what is the pressure equation?

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 pressure equation that incorporates density, gravity, and height is articulated through the equation P = density (p) x gravity (g) x height (h). This equation is rooted in fluid mechanics, where pressure is defined as the weight of the fluid column above a certain point in a fluid due to gravity.

In this context, density (p) refers to the mass per unit volume of the fluid, which when multiplied by the acceleration due to gravity (g), yields the weight of a volume of fluid. The height (h) signifies the depth of the fluid column. Consequently, when considering the total pressure exerted by a fluid in a vertical column, the density must be multiplied by both the gravitational acceleration and the height of the fluid to arrive at the total pressure (P) at that depth.

This relationship illustrates how the pressure increases with greater fluid height due to the cumulative weight of the fluid above the point of measurement.

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