My 2003 cts has "differentail noise"not wheel noise. I hear its somewhat common. Unfortunately rear end failure is somewhat common. I have had the same noise for years, and I am at 130,000 mi. No failure
The answer to your question is that when the transmission stays in the lower gear due to not having got your speed up, the noise will happen... it`s not due to a mechanical problem.
Power Steering?
what would cause a rubbing noise on drivers side front wheel especially when braking ( I replaced rotor and wheel bearings are good) ?
wheel bearing
Your Axle
A pebble.
It's almost always a wheel bearing that would cause that noise.
have it checked you could have bent the axle and the noise would be the bearing
ummm power steering
If its front wheel drive possibly an axle.
relay
An expert would have to hear the noise. Some possibilities are dry top bearing of the shocks, horn ring loose in steering wheel, tire rubbing on frame - -
Possible its time to change those brake pads out. The whining noise is possibly the metal grinding to your rotor, which would cause your wheel to shake. Consider getting those rotors turned as well.