I have the same noise. It is very strange, because when I am stopped, the noise disappears, it appears when I start moving, but it does not increase as speed increases (that is what I would expect). It increases the frequency when I accelerate but only while moving. I suspect it could be related to the serpentine belt. or to the belt tensioner.
JCT
The noise is due to bad gears or bearings in your rear differential.
Hard to tell without hearing it. With engine running, open the hood and try to determine the area where the noise is coming from then repost info.
== == Could be the transmission, or a front brake is sticking on.
It could also be your transmission or brake fluid. So you should get that checked out.
MOst likely a wheel bearing
The cause of the whining noise in the front end of a 2004 supercharged Monte Carlo, especially during cold weather, is the idler pulley. This is located at the driver's side of the engine between the alternator and a/c pump.
Whining noise near belts had pulleys adjusted any idea what is causing this
From the rear it could be the differential, however those front differentials are notorious for making noise. That whining noise derives from the viscous coupler, and is normal. Bring it to a dealer, not some crappy backyard mechanic. And have a certified Toyota TECHNICIAN inspect the front an rear differential, transmission, and wheel bearings (but those typically hum when bad), I almost gurantee you just hear the viscous coupler noise.
A whining noise in the transmission is usually an indication the transmission fluid is low. Check the transmission fluid and fill it to the recommended level.
It is the alternator....
Possibly a wheel bearing
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.