The Pressure Exerted on an Object While Submerged in a Fluid

question 38

Essay

The pressure exerted on an object while submerged in a fluid can be calculated using the
following equation: $$P = P _ { a t m } + \rho g h$$
where
$$\begin{array} { l } P = \text { pressure } ( P a ) \\P _ { a t m } = \text { atmospheric pressure } ( P a ) \\\rho = \text { density of fluid } \\g = \text { gravitational acceleration, } 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 } \\h = \text { depth of submersion } ( \mathrm { m } )\end{array}$$
What is the appropriate unit for $\rho$ if the preceding equation is to be homogeneous in units?

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