Low Whirring sound when engine is idling?

the noise also seems to get quieter when the engine warms up.

i have also noticed a light tapping sound, as if something is spinning weird. maybe a belt or fan?

Hi,

The idea that it is coming from approximately the center of the engine compartment and gets quieter when the engine is warm sounds like it could be related to an engine vacuum leak.

Do me a favor. Do a quick inspection of the engine vacuum hoses along with the air intake tube, and intake manifold. Make sure nothing is disconnected, damaged, or dry-rotted.

Also, if it is possible for you to record it and upload it for me to hear, it will be helpful. In addition, here is a link that explains how to locate and repair an engine vacuum leak:

https://www.2carpros.com/articles/how-to-use-an-engine-vacuum-gauge

Let me know.

Joe