If it is the fan, it could just be some dust or debris that has "settled" whilst the PC was off, and now is imbalancing the fan slightly.
The easiest way to clean the fan out is with compressed air - either a gentle flow from a compressor if you have access to one. Alternatively computer shops and artist's supply shops sell tins of compressed air.
BTW it CAN be a messy job - I usually carry mine outside, remove the main cover (of the whole CPU - DO NOT remove the cover of the Power supply which houses the fan - you may get shocked), and blow air over all the cards, the main board and through the power supply.
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