Tom Gardner wrote:

I want to turn a 4" OD x 3/8" thick gear 80 to 110 degrees in 100 ms. I'm
thinking of a 4" stroke by 1-1/4" bore air cylinder attached to a rack gear that
would engage the round gear. No, I won't do it with a servo! I'm thinking a
1/2" round rack gear in a tube with Thomson linear bearings and a scallop cut in
the middle of the tube to expose teeth to the round gear. This seems simple and
cheap. In fact, it's so simple it would seem that it should be an off-the-shelf
item! I just assume it would be easier to do with round rack than square rack.
Is this available or did I invent a new wheel?

The gear would just spin back and forth and the air cylinder/rack will have an
adjustable stop to get my 80 to 100 degrees rotation. The round gear will have
a one-way clutch installed because I only want the one direction of shaft
rotation. The shaft will power a wire feed mechanism to feed 3" to 3-1/4" of
wire.

Just search "rotary actuator" on mcmaster.com.