Gravitational Fields: Earth's Rotation & UK Latitude 53

AI Thread Summary
The discussion centers on the relationship between Earth's gravitational field, its rotation, and the effects at latitude 53 in the UK. Participants explore how fast Earth would need to spin for people to start falling off its surface and calculate the length of a day at that latitude. One user calculated a day length of 59 minutes using specific equations but questioned the accuracy of their result. Clarification is sought on whether this calculation applies to the equator or the UK latitude. The conversation emphasizes the need for detailed calculations to understand these gravitational dynamics.
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Homework Statement


the Earth's gravitational field is sufficiently strong enough to keep us on it- even though we are traveling in a circle on its surface. But how fast would we be spinning before we started to fall off? What about at latitude 53 (UK)? and how long would a day be?


Homework Equations



w=theta/time
w=v/r

The Attempt at a Solution


i got 59 minutes for the day using 2pi/1.75x10-3
 
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Is that your result for the equator or the UK latitude?

Either way, it doesn't look right to me. Can you show your work?
 

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