The centrifugal switch is a clothes dryer also has an additional normally open contact that activates the burner or the electric heating element.
Some of the solid state motor starting relays on the market can self adjust for a particular size motor, partiularly the ones that can add a starting capacitor. A so called hard start kit converts a permanent split capacitor refrigeration compressor to capacitor start capacitor run and uses the voltage across the start winding rather than the current through the run winding.
The classic split phase starting relay was made by Texas Instruments and had the coil in the run winding and a normally open contact for the start winding. These were gravity sensitive and used gravity to open the contact. To get a relay that would work for a goofy size refrigerator motor that was made in Italy I had to get a smaller size relay, unwind all of the winding turns ( 70 ) and then rewind on the number of turns ( 60 ) that would get this motor to work.