find a large quiet place to record. warehouses are ok if the ext traffic noise is low enough. protect anything that could be damaged from a flying projectile before you begin.
grab a bunch of props to swing. Things like rack panels with holes, small pipes with holes, certain musical instruments (chimes, flutes, etc) and even light helmets with holes will do. Odd shapes flutter, holes whistle. Simple shapes sound boring.
The weight will help you get it up to speed and the holes will create the whistling.
Attach each prop to a long piece of nylon string (nylon is very strong). when you tie knots, tie in one direction and then the other - this will prevent the knots from untying.
Record the whoosh bys as you spin each prop past with the string at full extension. Try for big hard individual whooshes as opposed to fast spins.
be sure to have your shoes off so you don't record your foot movement.
Use gloves to protect your hands from string friction.
protect your mics and your rig.
some izotope RX or multiband expansion in post will help with cleanup of the recorded files.