Rpm reduction via pulley

TWheat

Member
Got a little projct and I can't find a reference to check my math, need your help.
Say I have a 4"dia, drive pulley that I can regulate to 200 rpms. It needs to drive a driven pulley to go 50 rpms. What dia. driven pulley do I need?? Thanks
 
The speeds are inversely proportional to the pulley sizes so a 200 rpm, 4-inch driver would turn a 16-inch driven pulley at 50 rpm.
 
Thank you . I thought so, but I needed verification. Dang pulleys are high and looks like I have to order one and wanted it to be right the first time.
 
50 over 200 is a 1:4 ratio. Inverse proportion is 4:1, so 4 inch pulley needs to match to a 16 inch pulley.
 

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