Calculating Radial Acceleration of Earth at Equator

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SUMMARY

The radial acceleration of Earth at the equator is calculated using the formula a = v²/r, where v is the tangential velocity and r is the radius of the Earth. The correct calculation yields a radial acceleration of approximately 169.9 m/s², based on a tangential velocity of 1041 m/s and a radius of 6378 km. This value accurately reflects the acceleration experienced by an object due to the Earth's rotation at the equator, although it may vary slightly based on geographic factors.

PREREQUISITES
  • Understanding of basic physics concepts, specifically circular motion
  • Familiarity with the formula for radial acceleration
  • Knowledge of Earth's radius and rotational speed
  • Basic mathematical skills for performing calculations
NEXT STEPS
  • Research the effects of Earth's shape on radial acceleration
  • Learn about the variations in gravitational acceleration at different latitudes
  • Explore the relationship between tangential velocity and radial acceleration
  • Investigate the impact of Earth's rotation on satellite orbits
USEFUL FOR

Students of physics, engineers working on geophysical projects, and anyone interested in understanding the dynamics of Earth's rotation and its effects on objects at the equator.

UrbanXrisis
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I need to calculate the radial acceleration of Earth @ the equator

a=v^2/r
a= [1041m/s)^2]/6378m
a= 169.9 m/s^2

is this correct?
 
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I think the radius of the Earth is a tad larger than 6.4 km.
How did you get the v? The distance traveled in a day is the circumference of the equator.
 


Yes, your calculation is correct. The radial acceleration of Earth at the equator is approximately 169.9 m/s^2. This value represents the acceleration of an object moving at a constant speed around the Earth's equator due to the Earth's rotation. It is important to note that this value may vary slightly depending on the exact location on the equator and other factors such as the Earth's shape and rotation speed. However, your calculation provides a good estimate for the radial acceleration at the equator.
 

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