Buoyancy: Mass Weight Volume. Mass is the amount of matter in an object. Weight is the force of gravity acting on an object. Weight = mass x Fg. Volume is the amount of space an ob... Buoyancy: Mass Weight Volume. Mass is the amount of matter in an object. Weight is the force of gravity acting on an object. Weight = mass x Fg. Volume is the amount of space an object takes up. Density is how closely packed particles are in a substance. It is a ratio that compares mass to volume in a substance. D = m/v. Buoyancy is an upward force that exerts on an object. Displacement occurs when an object is submerged in a fluid. The Archimedes Principle states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. Pressure is the force exerted on a surface divided by the area. Pascal's Law states that if pressure is exerted on a fluid, it will be evenly distributed throughout the fluid. Pneumatic systems use gas under pressure; hydraulic systems use water under pressure. Volume of a cube: v = s^3. Volume of a rectangular prism: v = l x w x h. Density: d = m/v. Volume: v = m/d. Mass: m = d x v. Pressure: p = f/a. Force: f = p x a. Area: a = f/p.
Understand the Problem
The text provides definitions and descriptions of various concepts related to buoyancy, mass, weight, volume, density, pressure, and the principles that govern them, such as Archimedes' Principle. It includes formulas for calculating volume, density, mass, pressure, and force, as well as descriptions of pneumatic and hydraulic systems.
Answer
The buoyant force is equal to the weight of the fluid displaced by the object.
The buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
Answer for screen readers
The buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
More Information
Archimedes' principle helps explain why objects float or sink in fluids based on the relationship between the buoyant force and displaced fluid.
Tips
A common mistake is confusing mass with weight. Remember that weight is mass under gravity's influence, and buoyancy relates to displaced fluid weight.
Sources
- Archimedes' Principle | Physics - Lumen Learning - courses.lumenlearning.com
- 14.4 Archimedes' Principle and Buoyancy - Lumen Learning - courses.lumenlearning.com
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