What is the Acceleration at a Point on Earth's Surface at a Given Latitude?

AI Thread Summary
A point on Earth's surface at latitude theta experiences an acceleration of 3.37 cm/s² * cos(theta) when measured relative to a non-rotating reference frame. The variation in acceleration at different latitudes is due to centripetal acceleration and the distance from the Earth's axis of rotation. Understanding circular motion principles is essential to grasp why acceleration differs from the equator to other latitudes. The discussion emphasizes the importance of these concepts in solving the problem. Overall, the hints provided guide the approach to the solution effectively.
syang9
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"show that a point on the surface of the Earth at latitude theta from the equator has an acceleration of magnitude 3.37cm/s^2*cos(theta) relative to a reference fram not rotating with the earth."

i really have no idea how to approach this problem. i don't really understand why the acceleration at a point above or below the equator should be different than the acceleration at the equator. could anyone provide a hint or two as to how i should start?

many thanks.
 
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Hint1: Centripetal acceleration.
Hint2: Distance from the axis of rotation.
 
thanks a lot guys, you were a lot of help!
 
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