2 ms·
If the Earth revolved at a rate of ~17 times per day, or once every 1:24:42, the centrifugal force at the equator should just match the pull of gravity. Also v
by dredmorbius 3y ago
If the Earth revolved at a rate of ~17 times per day, or once every 1:24:42, the centrifugal force at the equator should just match the pull of gravity.
Also via GNU Units:
You have: sqrt(1 gravity / earthradius)
You want: revolution/day
* 17.060434
You have: 1 day / 17
You want: hour; minute; second
1 hour + 24 minute + 42.352941 second
Stack Exchange confirms this: <https://physics.stackexchange.com/questions/136486/how-fast-would-the-earth-need-to-spin-for-us-to-feel-weightless#136495 https://physics.stackexchange.com/questions/136486/how-fast-...>)
That's about once every 84 minutes.
Which, I recognise is also roughly the orbital period for low-Earth orbit, that is, an object falling around the Earth without ever striking the surface. Though I think that may be a coincidence. Compare geosyncronous orbit (~42,000 km from Earth's centre), with the radius at which there is 1g of centrifugal acceleration at 1 revolution per 24 hours, ~2 million km.
Fun to play with however.