Apparent Weight Calculator

Formula

The formula to calculate Apparent Weight is:

\[ \text{Apparent Weight} = \text{True Weight} - (\text{Fluid Density} \times g \times \text{Volume Displaced}) \]

Where:

\( \text{Apparent Weight} \) is the weight of the object in the fluid
\( \text{True Weight} \) is the actual weight of the object
\( \text{Fluid Density} \) is the density of the fluid
\( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \))
\( \text{Volume Displaced} \) is the volume of fluid displaced by the object

Apparent Weight Definition

Apparent weight is the effective weight of an object when it is submerged in a fluid. It is the true weight of the object minus the buoyant force exerted by the fluid.

Example Calculation

Let's consider an example:

True Weight: 100 N
Fluid Density: 1000 kg/m³
Volume Displaced: 0.01 m³

Using the formula to calculate the Apparent Weight:

\[ \text{Apparent Weight} = 100 - (1000 \times 9.81 \times 0.01) \approx 90.19 \, \text{N} \]

This demonstrates that with a true weight of 100 N, a fluid density of 1000 kg/m³, and a displaced volume of 0.01 m³, the apparent weight would be approximately 90.19 N.