Calculating Centripetal Acceleration at Earth's Equator

AI Thread Summary
Centripetal acceleration at Earth's equator is derived from the planet's rotation, with Earth's radius at the equator being 6.38 x 10^6 m. The formula for centripetal acceleration is a = v^2/r, where v is the tangential velocity. To find v, one can calculate the distance traveled in 24 hours, which is equal to the circumference of Earth, approximately 40,075 km. This results in a tangential velocity of about 1,670 m/s. Using these values, the centripetal acceleration can be calculated effectively.
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Homework Statement


the centripetal acceleration of an object at Earth's equator results from the daily rotation of Earth. Calculate the object's centripetal acceleration, given that the radius of Earth at the equator is 6.38*10^6m.

Homework Equations


a=v^2/r

The Attempt at a Solution


I really have no idea how to solve this question, how can I calculate the centripetal acceleration with only the radius?
 
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Take note that a stationary object has traveled a distance equal to Earth's radius in 24 hours (assuming Earth is a perfect sphere).
 
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