Upward Force Calculator

This calculator calculates the upward force (buoyant force) acting on an object submerged in a fluid based on Archimedes' principle.

Input Parameters

Default is water (1000 kg/m³)

Example: 0.01 m³ for a 10-liter container

Calculation Results

Calculation Formula

Upward Force (F) = ρ × g × V

Where:
F = Upward Force (N)
ρ = Fluid Density (kg/m³)
g = Acceleration due to gravity (9.81 m/s²)
V = Object Volume (m³)

The upward force is calculated based on the volume of the object submerged in fluid and the fluid's density.

Upward Force Calculator Usage Guide

Learn how to use the Upward Force Calculator and understand its working principles based on Archimedes' principle.

How to Use the Calculator

  1. Enter the Fluid Density in kg/m³. The default is 1000 kg/m³, which represents water.
  2. Enter the Object Volume in m³. This is the volume of the part of the object that is submerged in the fluid.
  3. Click the Calculate button to compute the upward force.
  4. The result will be displayed in Newtons (N). You can also reset the form to enter new values.

Working Principle

This calculator uses Archimedes' principle, which states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid displaced by the body.

The formula used is: F = ρ × g × V, where:

  • F is the upward force (buoyant force) in Newtons (N)
  • ρ (rho) is the density of the fluid in kg/m³
  • g is the acceleration due to gravity (approximately 9.81 m/s² on Earth)
  • V is the volume of the fluid displaced (which is equal to the submerged volume of the object) in m³

Examples

Example 1: A 10-liter (0.01 m³) container filled with air is submerged in water. The upward force would be: F = 1000 kg/m³ × 9.81 m/s² × 0.01 m³ = 98.1 N

Example 2: A 0.5 m³ block of wood with density 500 kg/m³ is floating in seawater (density ≈ 1025 kg/m³). The submerged volume would be V = (500/1025) × 0.5 m³ ≈ 0.244 m³, and the upward force would be F = 1025 kg/m³ × 9.81 m/s² × 0.244 m³ ≈ 245.3 N