Archimedes' principle states that the buoyant force on a fluid is equal to the weight of the displaced fluid. To calculate the buoyant force, we use the equation
buoyant force = density of fluid × volume of displaced fluid × acceleration due to gravity. In a completely submerged object, the volume of displaced fluid equals the volume of the object. If the object is floating, the volume of of the displaced fluid is less than the volume of the object but the buoyant force = the weight of the object.

How to find buoyant force for floating and submerged objects.

This video demonstrates and explains Archimedes' principle

Buoyancy

Buoyant force is the force that a fluid exerts on a object that is immersed within it. It is called buoyant force because this force is a lifting force, often making the object buoyant. Buoyant force can be calculated using Archimedes' Principle.

Problems to aid in the understanding of buoyant force and Archimedes' Principle.

Explains the relationship between buoyancy and density using hot air balloons, fish and cruise ships as examples of objects using buoyant force. Includes instructions for calculating the density of a rectangular prism and a liquid
Includes a brief explanation of Archimedes' Principle and the role gravity plays in buoyant force.

Flotation or Floatation

In floatation, the buoyant force equals the weight of the floating object and the volume of the object is always greater than the volume of water displaced. Floatation can be calculated using Archimedes' Principle.

How the mass of a floating object is related to its buoyant force.

This explains and demonstrates how and why things float.

Pascal's Principle

According to Pascal's Principle, in a uniform fluid, pressure depends only on height. There can be no pressure gradient except for that caused by liquid pressure. This is seen in hydraulic jacks which are used to lift heavy objects.

In a uniform fluid, pressure depends only on height.

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.

(Clicking "View Steps" on the answer screen will take you to the Mathway site, where you can register for a free ten-day trial of the software.)

OML Search

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.