Gears Are Connected By Chain The Larger Gear Has A Linear Velocity Of 12 5

Solution

32 Pi rad/3 min /2 Pi Rad/rev = 16/3 rev/min small gear

16/3 rev/min x min/60 sec = 4/45 rev/sec small gear

In 1 sec chain moves 12/5 Pi in

In 1 sec small gear goes 4/45 rev Diameter of small gear has to travel 12/5 Pi in as well

So 4/45 rev x Pi D = 12/5 Pi D = 27″ R= 13.5 in.

I am sure that there is an easier way than shown though.