SUMMARY
A cube with a side length of 15 cm is floating at the interface of water and oil, with the oil density at 810 kg/m³. The cube is 52% submerged in water and 48% in oil. Using Archimedes' Principle, the buoyant force (Fb) is calculated as 30 N, leading to a mass of the cube determined to be 3.33 kg. This analysis demonstrates the application of fluid mechanics principles to calculate buoyancy in a multi-fluid system.
PREREQUISITES
- Understanding of Archimedes' Principle
- Knowledge of fluid density calculations
- Basic algebra for solving equations
- Familiarity with gravitational force (g = 9.8 m/s²)
NEXT STEPS
- Explore advanced applications of Archimedes' Principle in various fluid systems
- Learn about the effects of fluid density on buoyancy in different materials
- Investigate the calculation of buoyant forces in irregularly shaped objects
- Study the principles of hydrostatics and their applications in engineering
USEFUL FOR
Students studying physics, engineers working with fluid dynamics, and anyone interested in understanding buoyancy and fluid mechanics principles.