Hi Lloyd,
On "noisy belts": Some curious things to note:
What many do not realise with belts, is that different designs generate noise a different ways.
I'll comment on different designs - and some of the odd bits of design I recall about them.
Vee-belts, wedge belts, Poly-vee belts In principle these all perform dynamically the same way, more or less. These rely upon the load tension to make the Vee-form wedge itself into the pulley. The initial tension is NOT the driving load tension, and should not be over tensioned as this will cause overloading of bearings, a common fault with re-setting by "un-trained/un-knowing" mechanics. But equally, initial load take-up can generate slippage and unwanted wear of belts when the initial tension is too low. - But rarely a fault seen in service. Most of the wear occurs during service (loaded condition) anyway.
A point to AVOID: Any Vee-configuration belt that is worn to the condition where the "point" (or flat) of the vee shape in the inside contacts a pulley - bottoming in the Vee-groove. This means the belt will SLIP and be noisy because the Vee cannot generate the driving forces that the drive should be transmitting. Vee-belts are the simplest form, Wedge belts just a wider version for higher loads, optimised by the belt drive manufacturers, and poly-Vee belts offer much better cooling (due to their large flattened shape)and a more compact (and durable?) drive.
Link belts are an easy-to-fit "temporary" belt (On hobby stuff "temporary" can be a lifetime!). The links weaken the belt considerably compared to a single loop Vee-belt. and generate a lot of heat - but in the case (comment #39) by Ingnator the damping of noise by friction - link to link - is probably the reason the belt installation is quieter than the previous installation.
Vee-belts do generate noise, caused by the constant engaging and disengaging of the vee-of the belt in the pulley groove. The friction of pulling the belt into the groove - and then back out again - causes a rubbing (like a rosined bow on a violin string) but at super high frequencies that we normally cannot hear. This rubbing is the major (natural) source of heating the belt, The work of bending and straightening the belt is tiny by comparison.
OK. To "toothed" belts, in their various forms. I say various forms, as some teeth are trapezium shaped, some semi=circular and some "hyperbololic" - all in an attempt to reduce local stresses and increase LIFE. But they all generate noise due to the engagement of each tooth displacing the air in the pulley between teeth, and then when the tooth comes out the air rushes in again from each end, causing a shock-wave (tiny, but it exists). This can set-up an audible whistle, related to the frequency of tooth engagement. (rpm x number of teeth, per pulley). But this also can seem quiet at higher speeds if it becomes ultrasonic. These belts rely upon a correctly set tension - so you do not overload the belt and pulley bearings - or under-load the belt so it can pull teeth out of engagement with the pulley (worst case) and the belt slips. Usual failures (as the teeth are the most highly stressed points) are breakages where the tooth to belt leading corner fails and the crack/tear propagates across the thickness of the belt overstressing the tension fibres one after the other to cause them to fail, and the belt snaps. ANY cracks in the polymer and the belt is going to fail SOON. Manufacturers' recommended service (replacement) intervals are based upon thousands of belt tests and failures, so should be adhered to and NOT exceeded. - But on a Hobby lathe this service running time may never be reached, so be aware that the polymers break-down naturally, so will deteriorate and fail with a combination of TIME and Heat. After 15 years, your car cam-drive belt will be likely to fail because it is old enough it will have "died" - or be close to dying - so change it. On your Harley Davidson 2-wheeled tractor, this may be as low as 3-years... The belt's teeth wear on their leading edge, as they rub while engaging and disengaging the pulleys, and the core fibres fatigue and fail after a long life due to the bending and reverse bending around pulleys and tensioner idlers. But the (rubber, etc.) polymer ageing is a major cause of failure in many applications.
Note: All belts load pulley bearings to one side, so are horrible from the perspective of the bearing designer/manufacturer, so likely to be "huge" compared to something like a gearbox bearing that has much less side loading than "belt tension". The pre-tension on all belts must be enough that at full dynamic tension on the driving side, the slack side still has some residual tension to control the belt engagement security. - Unlike a chain that will function reliably with a slack return run.
Hope this is of some interest - tell me if otherwise, or you disagree with my screed? Service experience is often different to "office" experience!
K2