The Earths rotation already generates power for us: wind. It’s why the jet stream only goes one direction.
Can Earth's rotation generate power? Physicists divided over controversial claim
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Re: Can Earth's rotation generate power? Physicists divided over controversial claim
#102I wonder how many wats of power we would be able to generate before earth slows down for i.e. 1 second longer day.
Moment of inertia of the Earth: I=8.04e37
Angular velocity, with sidereal rotation period of 23.93 hours: ω0=2π/(23.93 × 3600)
Angular velocity, with sidereal rotation period of 23.93 hours plus one second: ω1=2π/(23.93 × 3600 + 1)
Rotational energy difference: .5 × I × ω0 ** 2 - .5 × I × ω1 ** 2 ≈ 4.96e+24 J
For comparison, according to https://ourworldindata.org/energy-production-consumption the total amount of energy consumed on Earth in 2023 was 180E3 TWh i.e. 6.48e+20 J
Slowing down the Earth by one second would be equivalent to 7661 times this amount.
Re: Can Earth's rotation generate power? Physicists divided over controversial claim
#103Wouldn't this eventually slow down Earth's rotation? The rotational kinetic energy of our planet is 1/5 M * R^2 * w^2 with (approximately) M = 6e34 kg, R = 6.3e6m, w = 7.4e-5 rad/s, which gives approximately 5e36 joules. Yearly we need roughly 3e16 Wh. Yeah ok there's plenty. Woah! (also, I may be off by some orders of magnitude)
Doesn’t driving west to east on a highway slow down the Earth’s rotation, via the power transferred into the ground?
Its effectively the same principle as a figure skater pulling in their arms when spinning, to spin faster.
Re: Can Earth's rotation generate power? Physicists divided over controversial claim
#104Imagine a massive planet spinning in empty vacuum. Can the inhabitants slow down their planet, and generate electricity? I suspect that they can generate electricity with angular momentum with it, that can be only used to do work with the equivalent angular momentum.
Re: Can Earth's rotation generate power? Physicists divided over controversial claim
#105The Earths rotation already generates power for us: wind. It’s why the jet stream only goes one direction.
I'm sure a large enough mirror and photocell could get power out of the aurora borealis.
An argument that the magnetic field in a location remains completely constant as the earth rotates seems bizarre, but so does the idea that it's large enough to economically extract power.
Re: Can Earth's rotation generate power? Physicists divided over controversial claim
#106I wonder how many wats of power we would be able to generate before earth slows down for i.e. 1 second longer day.
The earth moment of inertia is about I=8e37 kg m2 [2]
The energy extracted by a slowdown of angular speed from wa to wb would be 1/2 I(wa2-wb2).
Approx wa=2pi/86400 and wb=2pi/86401. Energy extracted: 4.9e24J=4.9e12TJ.
We would have energy for about 12 billion years.
If I double check with Kagi's assistant with Claude 3.7 (I'm in my phone and I could easily have made an error) it starts with my exact reasoning and figures but messes up final numbers (so close!!!) to give a total of 40 billion years, which nevertheless is the correct order of magnitude.
[1] https://en.m.wikipedia.org/wiki/World_energy_supply_and_cons...
[2] https://scienceworld.wolfram.com/physics/MomentofInertiaEart...
Re: Can Earth's rotation generate power? Physicists divided over controversial claim
#107Earlier quoted context omitted.
The Navy isn’t constrained by economics. Nuclear doesn’t make sense economically compared to things like solar and batteries.
> things like solar and batteries. Magnets too - let's just go magnets everywhere. Reality is solar isn't viable everywhere. And it's not optimal to put it in places where you use the sun to grow food. We should follow a holistic approach. * Wind where it's windy. * Solar where it's sunny - ideally on buildings/away from farms. * Hydro where possible. * Nuclear where it makes sense, i.e. stable geography, low occuren…
Re: Can Earth's rotation generate power? Physicists divided over controversial claim
#108It's incredible the lengths humanity is willing to go to avoid adopting nuclear energy - despite the US navy driving mobile reactors millions of miles over the last 70 years.
Solve the waste problem and you solve nuclear. Waste is still the giant elephant in the room and a lot of people have a fifth grade solution to the problem (we will bury it under ground! We will fly it to the sun! We will resuse it until it is no longer radioactive!) I used to have a neighbor who worked for the DOE, all of the viable solutions are blocked by people who don’t want it in their backyard. Can’t really mo…
The correct solution: put it into dry casks and do nothing right now. Store it simple underground storage facilities or on the grounds of active nuclear power plants.
The casks are fine for the next 300 years, and during that time we can either:
1. Perfect the nuclear fusion, it will provide plenty of neutrons to transmute the waste.
2. Perfect fast fission reactors. See above.
3. Use some of the excess of too-cheap-to-meter green energy for accelerator-driven subcritical fission reactors.
4. Yep, use rockets to slowly launch the waste into space. We can already design a storage capsule that can survive re-entry.
In any case, we have literally hundreds of years to come up with a solution and there are many viable paths.
Re: Can Earth's rotation generate power? Physicists divided over controversial claim
#109It's incredible the lengths humanity is willing to go to avoid adopting nuclear energy - despite the US navy driving mobile reactors millions of miles over the last 70 years.
The Navy isn’t constrained by economics. Nuclear doesn’t make sense economically compared to things like solar and batteries.
Re: Can Earth's rotation generate power? Physicists divided over controversial claim
#110It's incredible the lengths humanity is willing to go to avoid adopting nuclear energy - despite the US navy driving mobile reactors millions of miles over the last 70 years.
Solve the waste problem and you solve nuclear. Waste is still the giant elephant in the room and a lot of people have a fifth grade solution to the problem (we will bury it under ground! We will fly it to the sun! We will resuse it until it is no longer radioactive!) I used to have a neighbor who worked for the DOE, all of the viable solutions are blocked by people who don’t want it in their backyard. Can’t really mo…