Inertial Reference Frame Locally

AI Thread Summary
Choosing a local reference frame as an inertial frame is problematic because non-inertial frames introduce fictitious forces that cannot be ignored if they are significant. In a classroom, while the Earth’s acceleration may seem negligible, it affects the motion of objects within that frame. The Coriolis effect exemplifies this, as it explains the rotation of vortices in different hemispheres, which would be unaccounted for in a purely inertial frame. Therefore, the assumption that local conditions can be treated as inertial fails when considering these forces. Understanding these dynamics is crucial for accurate physical modeling.
adam.kumayl
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Why can we not CHOOSE a reference frame locally and treat everything inside of it as an inertial reference frame. For example in a classroom, the classroom is moving with the Earth and so is a ball rolling down the class. Because they are both equally moving due to the Earth's rotation, why can't we just ignore that? Simply treat that class room as a inertial reference frame For THIS REASON..

(I know we can treat it as an inertial reference frame because the acceleration of the Earth for that short time and distance is negligible, but that's another reason, i would like to know why my reasoning is wrong, such that if they weren't negligible we could still ignore them.)

Thank you!
 
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adam.kumayl said:
Why can we not CHOOSE a reference frame locally and treat everything inside of it as an inertial reference frame. For example in a classroom, the classroom is moving with the Earth and so is a ball rolling down the class. Because they are both equally moving due to the Earth's rotation, why can't we just ignore that? Simply treat that class room as a inertial reference frame For THIS REASON..

(I know we can treat it as an inertial reference frame because the acceleration of the Earth for that short time and distance is negligible, but that's another reason, i would like to know why my reasoning is wrong, such that if they weren't negligible we could still ignore them.)
Non-inertial frames have fictitious forces. If those forces are not negligible then you cannot ignore them.
 
Are you familiar with the Coriolis effect. If we treated the surface of the Earth as an inertial reference frame, we would have no way to explain why vortices rotate clockwise in the northern hemisphere and counterclockwise in the southern hemisphere.
 
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