The Water Displacement Calculator is designed to calculate the volume of water displaced by an object upon submersion. Using basic physical properties such as the object’s weight, volume, and the density of the fluid, this calculator provides quick and accurate results. It’s particularly useful in fields like material science, fluid dynamics, and manufacturing where precision is paramount.
Formula of Water Displacement Calculator
Understanding the formulas used by the Water Displacement Calculator will help you get the most accurate results:
Calculation of True Mass
To begin with, the true mass of the object needs to be calculated using the formula:
true mass = true weight / acceleration due to gravity
Here, the true weight is the weight measured in a vacuum, which eliminates the buoyancy effects of air. On Earth, the acceleration due to gravity is approximately 9.81 meters per second squared (m/s²), providing the base for this calculation.
Calculation of Displacement
The displacement itself is calculated as follows:
displacement = (true mass * density of object) – (volume of object * density of fluid)
This formula takes into account the density of the object and the fluid (commonly water at 1000 kg/m³ at room temperature). By inputting the true mass and the volume of the object, the calculator can determine how much fluid is displaced by the object.
General Conversion Table
To aid in your calculations, here’s a handy conversion table that includes common densities, as well as volume and weight conversions:
| Material | Density (kg/m³) |
|---|---|
| Plastic | 950 |
| Steel | 7850 |
| Water | 1000 |
| Volume | Conversion |
|---|---|
| 1 liter | 0.001 m³ |
| 1 gallon | 0.00378541 m³ |
| Weight | Conversion |
|---|---|
| 1 pound | 0.453592 kg |
Example of Water Displacement Calculator
Let’s go through a typical scenario using the Water Displacement Calculator:
Scenario: Calculate the displacement of a 10 kg steel block (density = 7850 kg/m³) submerged in freshwater.
- Calculate True Mass:
- True weight = 10 kg (as measured in vacuum)
- True mass = 10 kg / 9.81 m/s² = 1.02 kg (approx)
- Apply Displacement Formula:
- Volume of object = Mass / Density = 1.02 kg / 7850 kg/m³ = 0.00013 m³
- Displacement = (1.02 kg * 7850 kg/m³) – (0.00013 m³ * 1000 kg/m³) = 7998.37 kg – 0.13 kg = 7998.24 kg
- Interpret Results:
- The displacement of the steel block is approximately 7998 kg of water, which equates to about 7998 liters displaced.
Most Common FAQs
Inaccuracies can arise from incorrect data entry, measurement errors, and not accounting for temperature and pressure conditions. Always double-check your entries and ensure your measuring tools are calibrate.
Water density changes with temperature. At room temperature (20 degrees Celsius), it’s about 1000 kg/m³, but this will vary. Use temperature correction factors provided in scientific manuals or online resources to adjust your calculations accordingly.
Absolutely! While the default fluid density is set to that of water, you can adjust the density value to match other fluids like oil (approximately 800 kg/m³) or gasoline (around 700 kg/m³). Allowing the calculator to be use in a variety of scenarios.