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Encoders can detect distance traveled based on the number of pulses counted. In most applications, rotary motion is converted to linear travel by mechanical components like pulleys, drive gears and friction wheels. In the illustration of a cutting table here, if the diameter of the friction wheel and the CPR of the encoder are known, linear travel can be calculated. In the equation, C = encoder pulse count, L = desired cut length in inches, D = friction wheel diameter in inches, and PPR = total pulses per one revolution of the encoder. The second equation is based on desired cut length of twelve inches. Assuming the friction wheel diameter is 8" and encoder PPR is 2,000 it can be calculated that 955 pulses must be counted to achieve a cut length of 12”.
