SUMMARY
The weight of a 7 ft high water column with a radius of 1.1 m is calculated using the formula Weight = Volume * Density. The volume is determined to be 8.1064 m³, leading to a mass of 8106.39984 kg. To convert mass to weight in Newtons, multiply by the acceleration due to gravity (g = 9.81 m/s²). Thus, the final weight is approximately 79,500.5 N.
PREREQUISITES
- Understanding of fluid density (1000 kg/m³ for water)
- Knowledge of volume calculation for cylinders (Volume = π * r² * h)
- Familiarity with unit conversion between mass and weight
- Basic physics concepts, specifically Newton's second law (Weight = Mass * g)
NEXT STEPS
- Research the effects of varying water density on weight calculations
- Learn about the implications of using different values for gravitational acceleration (g)
- Explore the calculation of weight for other fluids with different densities
- Study the application of these principles in engineering and fluid mechanics
USEFUL FOR
Students in physics or engineering courses, educators teaching fluid mechanics, and professionals involved in hydraulic calculations or water resource management.