SUMMARY
In a scaled solar system where Earth's radius is represented as 12.75 cm for its actual radius of 6,375 km, Neptune's scaled radius can be calculated using a direct proportionality method. Given Neptune's actual radius of 24,766 km, the scaled radius is determined to be 49.532 cm. The calculation involves setting up a ratio based on the known scaled radius of Earth and its actual radius, leading to the conclusion that the scaled radius of Neptune is indeed 49.532 cm.
PREREQUISITES
- Understanding of proportionality and scaling in mathematical contexts
- Basic knowledge of the metric system, specifically conversions between kilometers and centimeters
- Familiarity with radius and its significance in planetary measurements
- Ability to set up and solve simple algebraic equations
NEXT STEPS
- Research the concept of scaling in astronomy and its applications
- Learn about the metric system and unit conversions, particularly between kilometers and centimeters
- Explore more examples of scaled models in science, such as scaled solar system models
- Investigate the physical characteristics of Neptune, including its size and composition
USEFUL FOR
Students studying astronomy, educators teaching scaling concepts, and anyone interested in understanding planetary measurements and models.