SUMMARY
The linear speed of Santa Fe around the Earth's axis is calculated using its latitude of 33.88 degrees north. The Earth's radius at the equator is 3960 miles, and it completes one rotation every 24 hours. By applying trigonometric principles, specifically relating the radius of the Earth and the latitude, the linear speed can be determined. The formula involves calculating the radius of the circular path at Santa Fe and using it to find the speed in miles per hour.
PREREQUISITES
- Understanding of trigonometry, specifically sine and cosine functions.
- Knowledge of Earth's geometry, including radius and rotation.
- Familiarity with angular measurements in degrees.
- Basic physics concepts related to linear speed and circular motion.
NEXT STEPS
- Research the formula for calculating linear speed based on latitude.
- Learn about Earth's rotation and its impact on geographical locations.
- Explore trigonometric applications in real-world scenarios.
- Investigate how to calculate the radius of circular paths at different latitudes.
USEFUL FOR
Students, educators, and anyone interested in physics or geography, particularly those studying the effects of Earth's rotation on linear speed at various latitudes.
