Not any more than the rotation of the winds on Venus has increased from 186 mph to over 249 mph in 6 years, yet the planet has not increased in rotational speed. Coincidentally with global climate change.
Venus' howling winds inexplicably get stronger - NBC News.com
Which coincides with the unexplainable (to them) source of energy being pumped into our atmosphere. Venus winds increasing, Earth storms increasing, a new source of energy detected, shall we call it what it is, a Birkeland current connecting Sun and earth?
NASA Spacecraft Make New Discoveries about Northern Lights - NASA Science
Birkeland current - Wikipedia, the free encyclopedia
That the further from the Sun one goes, the higher the winds become.
The Planet Neptune
And what is helping the earth to keep its rotational speed if it has a core rotating at a different speed? friction is friction. You DO NOT get faster rotation from a slower rotating body providing that rotation. An internal core could never rotate faster than the outer core if the outer core was imparting the momentum. I am sorry, but force does not work that way, regardless that you might want it to. It is called the Laws of Cause and Effect and the effect must be proportional to the cause. A constant one mph force applied to your car will not make this car move 2 mph, ever. it is called friction and drag coefficients.
The earth spins at 1070 mph, winds rarely above an average of 11 mph. Venus rotates at about 4 mph, yet has constant winds up to 249 mph. There is no way to tie rotation speeds of atmospheres to heat from the Sun or the planets rotation. The furthest planets have the highest wind speeds, so something besides rotation of the planet and heat from the Sun is driving these winds. Simple fact.
And since you have never actually observed the core of the Earth, or any planet for that matter, on what *fact* do you base it is rotating differentially from the planet? You may choose to *believe* it does contrary to perpetual motion mechanics if you want, that is your misinterpretation of science, not mine.
That new energy source you have discovered is an electrical connection between Sun and earth, heating the earth's core through the simple and well known force of electromagnetic induction and causing the earth's rotation.
Electromagnetic induction - Wikipedia, the free encyclopedia
Induction heating - Wikipedia, the free encyclopedia
Electromotive force - Wikipedia, the free encyclopedia
As orbits are caused by this force.
Charged Particle in a Magnetic Field
The basis of the Lorentz Force.
The Lorentz Force
There is nothing mysterious about it, just simple electromagnetic force laws. No Fairie Dust need be applied.