The problem is most likely within the serpentine belt path. Typically, the source of the sound you're describing generally comes from something without a load, i.e., an idler pulley or AC compressor that's de-energized. BUT, the source of the noise is not always the problem. Since the mid 90's or so, serpentine belts have been made of an improved material compared to the older ones and they rarely, if ever, crack. Unless you have something seized in it's path, you won't see signs of slippage or glazing. In all actuality, a worn belt will actually look like a really good belt. The grooves get deeper as it wears. Generally a parts store will have a free gauge (or they may charge up to a buck) to determine belt wear, if you're groove is as deep (or deeper) than the gauge, it's time for a change. I recently checked our GP and the gauge actually indicated there was some life left, but I changed them anyway (mines and SC, I have 2), and it quieted the engine to the point it almost sounded new. There is another factor that with today's idler pulleys that you can't see: belt stretch. I noticed that both new belts were almost 2 inches shorter than the old ones. One belt was the same brand, one was different, so I can't say that it was a brand change, belts stretch over time and this needs to be taken into the consideration of replacement. Since your car is a 2001, if the belts are original, you have better than 50000 miles on them, or over 5 years old, they probably need to be replace just due to the stretch.
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