Asked by Ami
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)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?
Answers
Answered by
drwls
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.
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.
Answered by
Anonymous
9.78
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Anonymous
0.039
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