Rotation relative to an inertial frame

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SUMMARY

The discussion centers on the combination of Earth's rotational and inertial velocities. Earth's angular velocity is approximately 0.00007 rad/s, while its tangential velocity at the equator is about 0.5 km/s. When considering an inertial frame moving at 400 km/s, the resultant velocity of Earth must be calculated using vector addition, taking into account the varying direction of tangential velocity at different points on the planet.

PREREQUISITES
  • Understanding of angular velocity and tangential velocity
  • Familiarity with vector addition in physics
  • Knowledge of inertial frames of reference
  • Basic concepts of rotational motion
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johnny_bohnny
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Earth has a huge angular velocity regarding its rotation. Now let's imagine that the Earth has the velocity of 400 km/s relative to some inertial frame. What will be the velocity of Earth when we take the rotation into account combined with inertial motion? How do the 2 combine?

Thanks in advance.
 
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johnny_bohnny said:
Earth has a huge angular velocity regarding its rotation.
I think that you mean "huge tangential velocity". The angular velocity is not huge, it is 0.00007 1/s. The tangential velocity is about 0.5 km/s at the equator, which may or may not be "huge" depending on the context.


johnny_bohnny said:
What will be the velocity of Earth when we take the rotation into account combined with inertial motion? How do the 2 combine?
Velocities add vectorially. Don't forget that the tangential velocity is pointing in a different direction at each point on the earth, so you can do this addition for each point on the Earth and you will get a different value.
 

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