Earth's rotational speed when its gravity is 5.0m/s2

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Discussion Overview

The discussion revolves around the hypothetical scenario of determining the Earth's rotational speed if gravity were to be only 5.0 m/s². Participants explore the implications of this change on the Earth's rotation and the calculations involved.

Discussion Character

  • Exploratory
  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant questions the rationale behind the hypothetical scenario, asking for clarification on whether the assumption includes unchanged rotational momentum and altered inertia.
  • Another participant suggests that the original question may have been misphrased and proposes a more precise inquiry regarding how much the Earth's spin would need to increase to halve effective gravity at the equator.
  • Several participants express a desire for assistance in calculating the required rotational speed, indicating a need for guidance on the relevant equations, particularly centripetal acceleration.
  • One participant directs others to use online resources to aid in their calculations related to centripetal force.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of the original question or the assumptions behind it. There are multiple interpretations of the scenario, and the discussion remains unresolved regarding the calculations and implications of the hypothetical change in gravity.

Contextual Notes

The discussion includes assumptions about the relationship between rotational speed and gravitational force, but these assumptions are not explicitly defined or agreed upon. The mathematical steps required for the calculations are also not fully explored.

amosor
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What will be the rotational speed of the Earth when gravity would be
only 5.0m/s2
 
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Why would it be different? Since this is a contrived hypothetical, you'll need to explain...Are you assuming its rotational momentum is the same and its inertia is different?
 
Odd question. Use of an arbitrary number implies homework. Maybe the OP misparaphrased something like "how much would the Earth's spin need increase, in order to halve effective gravity at the equator"?
 
cesiumfrog said:
Odd question. Use of an arbitrary number implies homework. Maybe the OP misparaphrased something like "how much would the Earth's spin need increase, in order to halve effective gravity at the equator"?

Yes, you express my question more precisely. Will you be kind to help me to calculate this speed and show me the way you do it?
Thanks.
 
Yes, you express my question more precisely. Will you be kind to help me to calculate this speed and show me the way you do it?
Thanks
 
Well, do you know the equation for centripetal acceleration and the radius of the earth...?
 

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