SW

#534 / Fluids Easy

Consider a certain fluid has a specific weight of 12,000 N/m^3. What is its specific gravity?

Expand Hint
Specific Gravity, or Relative Density, is the ratio of a substance's density to a given reference material density.
Hint 2
Specific weight, or unit weight, is a material’s weight per unit volume.
$$$\gamma =\rho g$$$
where $$\gamma$$ is specific weight, $$\rho$$ is density, and $$g$$ is gravity.
Specific Gravity, or Relative Density, is the ratio of a substance's density to a given reference material density. For liquids, water is commonly referenced.
$$$SG=\frac{\rho }{\rho_w}=\frac{\gamma }{\gamma_w}$$$
where $$\gamma_w$$ is the specific weight of water at standard conditions (a constant), and $$\gamma$$ is the specific weight. Note that specific weight, or unit weight, is a material’s weight per unit volume.
$$$\gamma =\rho g$$$
where $$\gamma$$ is specific weight, $$\rho$$ is density, and $$g$$ is gravity.

Since the specific weight of water at standard conditions is $$9,810\:N/m^3$$ :
$$$SG=\frac{12,000N/m^3}{9,810N/m^3}=1.22$$$
1.22


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