Converting counts per revolution to mm

[SolPS]

Hi,

I have a stage with an encoder resolution of 2048 cts/rev and gear ratio of 28.4:1. How do I calculate the distance traveled in millimeters?

Thanks

Ifenna

[Highland_Controls]

Not enough information.  What kind of stage?  Screw? Belt?  You need to know the distance your stage moves based on an input of 1 revolution.

[k-usa]

Hi

   We need to know the Diameter(D) of your wheel ( for rotary encoder )

1 round = 2048 ct =Pi x  D = 360 deg

example : if D= 200 mili-meters       ==>   2048 ct =3.14*200=628 mm

Then you resolution is   Resolution (mm)= (628*1)/2048 =0.307 mm   This meam : 1 count of your encoder you do 0.307 mm a travel

ANd now you multiply by the racio of you gear

[SolPS]

The only additional information I have is Drive screw pitch which is 0.4mm/rev. I this the distance traveled in one reveoluton?

Thanks

[k-usa]

Do you have schematic or draw ?

[Highland_Controls]

Distance(mm)=2048*28.4/0.4