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Weightless on Surface of Earth?
Assuming the Earth to be a sphere with Radius = 6,380 km, what would the length of a day have to be in order to become weightless? {a day = period of Earth's rotation}.
This question relates to the fact that the on the surface the Net Acceleration toward the center of the Earth is *not* equal to g but equals (g - Ac).
5 Answers
- ?Lv 710 years agoFavorite Answer
When the centripetal acceleration (Rω²) at the equator equals the free-fall acceleration (g) you would appear to be weightless ..
Rω² = 9.80 m/s²
ω² = 9.80 / 6.38^6m .. .. ω² = 1.536^6 .. .. ω = 1.24^-3 rad/s
Periodic time T = 2π / ω .. .. 2π / 1.24^-3 .. .. .. ►T = 5067.0 s .. (1.40 hr)
- Anonymous10 years ago
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- 8 years ago
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