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Loren Booda
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In either the northern or southern hemisphere, what is the maximum difference in latitude between two places measuring the same total centripetal and gravitational accelerations?
For the most part yes, absolutely. The correction due to the centripetal force is pretty simple, and for any given model of oblate-ness, you can correct for that. Most likely variations due to geology (etc) would be entirely negligible, but again, it depends on your situation and sensitivities.Loren Booda said:I thought a standard weight measured over the Earth's surface would vary continuously.
I find it aesthetically intriguing how two most widely separated points would have the same magnitude of acceleration as mapped on the Earth's surface.billiards said:I don't know the answer but I am curious ... Why do you ask the question?
The maximum latitude difference for equal centripetal and gravitational acceleration is when the magnitude of centripetal acceleration due to the Earth's rotation is equal to the gravitational acceleration. This occurs at the poles, where the latitude is 90 degrees.
The maximum latitude difference is important for understanding the effects of the Earth's rotation on objects at different latitudes. It also helps to explain phenomena such as the Coriolis effect.
The maximum latitude difference can be calculated using the formula: tan(latitude) = (ω^2 * R)/g, where ω is the angular velocity of the Earth's rotation, R is the radius of the Earth, and g is the gravitational acceleration.
Yes, the maximum latitude difference can change with different factors such as the mass and radius of the Earth, as well as the latitude at which it is measured. It also changes with the rotation rate of the Earth, which can vary due to factors such as tides and changes in the Earth's core.
The maximum latitude difference has a significant impact on objects on Earth, as it affects the direction and strength of the Coriolis force. This force can influence the movement of large-scale weather patterns and ocean currents. It also affects the trajectory of objects launched from the Earth's surface.