What length 3/4 v-belt is needed

Question

an electric motor is used to run am auger. The motor is turning at 3700 rpm. It is installed with a 3.5 inch pulley that uses a 3/4 inch v-belt. The auger should turn at 800 rpm. The centers of the pulleys are 32 inches apart. What length 3/4 v-belt is needed

Answer 1

Morgan,

            you need to know the diameter of the pulley on the auger and since the auger is to turn at 800 rpm's it has to be 4.625 times (3700/800) bigger than the 3.5 inch pulley on the motor or 16.1875" .Now you have two circles (pulleys) whose centers are 32" apart. All you have to do is calculate where the belt contacts each pulley and add the lengths.

You can get an ide of what this system looks like at http://www.blocklayer.com/Pulley-BeltEng.aspx

Jim