SUMMARY
The centripetal acceleration of an object at Earth's equator is calculated using the formula a = v²/r, where v is the tangential velocity and r is the radius. Given that the radius of Earth at the equator is 6.38 x 106 m, the tangential velocity can be determined by the distance traveled in one rotation (the circumference) divided by the time taken for one rotation (24 hours). This results in a centripetal acceleration of approximately 0.0339 m/s².
PREREQUISITES
- Understanding of basic physics concepts, specifically centripetal acceleration
- Familiarity with the formula a = v²/r
- Knowledge of Earth's radius and rotation period
- Ability to perform unit conversions (e.g., hours to seconds)
NEXT STEPS
- Calculate the tangential velocity of an object at Earth's equator
- Explore the effects of centripetal acceleration on objects in circular motion
- Investigate variations in centripetal acceleration at different latitudes
- Learn about the implications of centripetal acceleration in satellite motion
USEFUL FOR
Students studying physics, educators teaching mechanics, and anyone interested in understanding the effects of Earth's rotation on objects at the equator.