Basically fans with more blades tend to be quieter and more pleasing aesthetically unlike their industrial counterparts with 2 or a maximum of 3 blades that move more air, but are noisier.
Ceiling fans for residential spaces have 4 to 5 blades and produce a decent current of air without the noise because their multiple blades create more drag on the motors that move the blades.
So ignoring other technicalities like blade pitch, the design of the blade surface, material used, the rule of thumb is that more blades in a fan is quieter, suitable for the home, but doesn’t create currents used on movie sets lol. Lesser number of blades – 2 and 3 are for industrial or standing fans used in public places where noise is not a concern but they literally need wind blowing everywhere.
This is as simple as I could go without mentioning jargons, I hope it helps. BTW you might just have a mechanical engineer as a kid 🙂
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