Estimate Earth's Radius Using Sun's Disappearance Time

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SUMMARY

The discussion centers on estimating the Earth's radius using the time it takes for the Sun to disappear over the horizon. When a person observes the Sun setting from two different heights—20 cm and 170 cm above the sand—they can measure the time until the Sun fully disappears again. This time measurement can be used to calculate the Earth's radius based on the known radius of the Earth. The method relies on basic principles of geometry and observational physics.

PREREQUISITES
  • Understanding of basic geometry principles
  • Familiarity with observational physics
  • Knowledge of the Earth's radius (approximately 6,371 km)
  • Ability to perform time measurements accurately
NEXT STEPS
  • Research the geometric principles involved in horizon calculations
  • Study the physics of light and observation angles
  • Explore methods for measuring time accurately in observational experiments
  • Learn about historical methods of calculating the Earth's radius
USEFUL FOR

Students studying physics, educators teaching geometry, and anyone interested in practical applications of observational science.

crazyforfood
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The Sun sets, fully disappearing over the horizon as you lie on the beach, your eyes 20 cm above the sand. You immediately jump up, your eyes now 170 cm above the sand, and you can again see the top of the Sun. If you count the number of seconds until the Sun fully disappears again, you can estimate the radius of the Earth. Use the known radius of the Earth to calculate the time.
 
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If this is your homework, then you could first give some of the ideas you have and we help you.
 
i don't have any! confused
 

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