Posted by Ami on .
The earth has a radius of 6380 km and turns around once on its axis in 24 h.
1)What is the radial acceleration of an object at the earth's equator? Give your answer in m/s^2
2) What is the radial acceleration of an object at the earth's equator? Give your answer as a fraction of g.
3) If a_rad at the equator is greater than g , objects would fly off the earth's surface and into space. What would the period of the earth's rotation have to be for this to occur?
1) acceleration = r w^2
where w is the angular velocity in radians per second
w = 2 pi/(24*3600)
r = 6380 km
2) Divided the acceleration by 9.8 m/s^2 per g
3) Solve g = r w^2 for the w value that lets objects fly off the earth.
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