2001 Hyundai Tiburon making a type of whirring noise in front end

On first blush, sounds like you may have a bad CV joint or wheel bearing.

Check bearings.

sounds like a failing rubber insulator
take it to a front end specialist shop for a detailed inspection

wheel bearing going out

Perhaps the cv joint.

Stay away, those need to be pressed into place with a hydraulic press, it is best to leave that to a qualified repair shop

Not a problem... I've seen it happen the other way around (depends on the difference between the friction generated by one brake pad/caliper (right/left side) compared to the other against the rotor). The Trans is the 'SLIP DIFFERENTIAL' type.. if the noise is loudest when one wheel is turning while the other is NOT, THEN stop the wheel that's turning to see if the noise goes away when the other wheel turns. If it doesn't, then the problem is in the differential. If it does, further diagnosis is needed.

It sounds exactly like a wheel bearing problem.The right side its seems would be the problem. When you turn right it puts more pressure on the bad bearing making it louder. I would suggest replacing both. If on is gone the other one isn't far off. Hope this helps

HI!! have somebody to help you star the car you outside put on drive turnthe whell to the side makes noisevery slow drive the truck and hear the noise if growglin noiise is detected is the hub bearing

If the noise is coming from the right front when making a left turn it would be a wheel bearing if you can narrow down where the sound is coming from i would check that.