Experiment 6: Archimedes' Principle and Specific Gravity — Worked Examples

A solid weighs $4.90\,\text{N}$ in air and $4.10\,\text{N}$ while fully submerged in water. Determine the buoyant force.

Use the readings from Example 1 to determine the solid specific gravity.

If water density is taken as $998.2\,\text{kg/m}^3$, estimate the density of the solid with $SG=6.13$.

The same solid reads $4.90\,\text{N}$ in air, $4.10\,\text{N}$ in water, and $4.25\,\text{N}$ in a test liquid. Determine the test-liquid specific gravity.

The buoyant force in water is $0.80\,\text{N}$. Using $\rho_w=998.2\,\text{kg/m}^3$ and $g=9.80665\,\text{m/s}^2$, determine the displaced volume.

A uniform object has density $700\,\text{kg/m}^3$ and floats in water of density $998.2\,\text{kg/m}^3$. What fraction of its volume is submerged?

The correct water reading for the solid is $4.10\,\text{N}$, but trapped air bubbles make the spring balance read $4.00\,\text{N}$. Compare the resulting specific-gravity estimate with the correct value.

A floating solid weighs $W_{s,air}=1.20\,\text{N}$. The auxiliary sinker alone has apparent weight $W_{a,water}=3.00\,\text{N}$ in water. When the solid and sinker are fully submerged together, their apparent weight is $W_{s+a,water}=2.60\,\text{N}$. Determine the solid specific gravity.