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

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SUMMARY

The discussion centers on calculating the Earth's rotational speed required to achieve a gravitational acceleration of 5.0 m/s² at the equator. Participants clarify that this involves understanding centripetal acceleration and the Earth's radius. The conversation emphasizes the need for precise calculations and the application of relevant physics equations to derive the necessary rotational speed. The inquiry reflects a hypothetical scenario that requires a solid grasp of physics principles.

PREREQUISITES
  • Centripetal acceleration equations
  • Understanding of gravitational force
  • Knowledge of Earth's radius (approximately 6,371 km)
  • Basic physics concepts related to rotational motion
NEXT STEPS
  • Research the formula for centripetal acceleration: a = v²/r
  • Explore the relationship between rotational speed and gravitational force
  • Calculate the required rotational speed using Earth's radius and desired gravity
  • Investigate the implications of changing Earth's rotational speed on its physical properties
USEFUL FOR

Students of physics, educators teaching gravitational concepts, and anyone interested in the effects of rotational dynamics on planetary bodies.

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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