Why this:
Explain plox.
Loose screws holding the front wheel. Or, more likely, intentionally removed, so as to make a Jackass-style video.
Edit: Anyway my question. The Earth's rotation is slowing down. Now, this is obviously not very good, so let's stop this. And for fun and profit, let's assume that we're using an equatorial mounted laser to do so. How much power would we need to emit.
Tidal braking currently changes the length of day by ~2 miliseconds per century.
Here, as in all that follows, I'll round off all the numbers to powers of ten, so the above change of the length of day will be: ΔT=10^-3 seconds.
The total change in angular velocity is Δω=ω
1-ω
0ω
1 = angular velocity after 100 years' braking in radians
ω
0 = initial angular velocity
and since
ω=2∏/T
then
Δω=2∏/(T
0+ΔT)-2∏/(T
0)
T
0 = length of day before braking in seconds
T
0+ΔT = length of day after 100 years' braking
Δω=-2∏ΔT/(T
0^2+T
0ΔT)
which equals roughly -10^-12 radians/sec
The angular acceleration α=Δω/T
100where T
100 is 100 years in seconds, giving roughly α=-10^-21 radians/sec^2
The torque(τ) required to produce such angular acceleration is:
τ=Iα
where I is the moment of inertia of Earth, approximated as 2/5m
ER
E^2, which gives roughly I=10^38 kg m^2
and the torque is then in the vicinity of τ=-10^17 N m
The torque required to counter the tidal torque is then τ=+10^17 N m
at the equator, the lever arm is equal to the radius of the Earth, so
τ=R
EF
(for the laser firing perpendicular to the radius, for maximum efficiency*)
and the force required to negate the tidal torque equals
F=10^10 Newtons
From Newton's second law, force is the rate of change of momentum:
F=Δp/Δt
the momentum of a photon or a flux of photons is given by p=E/c
Power of a laser is the total energy of photons produced by it per unit time P=E/Δt
so, the exiting beam will change the momentum of the laser assembly by Δp=PΔt/c
and the power of the laser required will be:
P=Fc
or something in the order of magnitude of 10^18 Watts (1 exawatt, or ten times the total solar irradiance we get)
Somebody check my work
*assuming no atmosphere. With atmosphere, there's most likely a more efficient angle to aim the laser at, to mitigate the atmospheric attenuation. But then again, the atmosphere in the path of the beam would probably vaporise anyway, so maybe that's no big deal.