Question

) A shaft encoder is to be used with a 50 mm radius tracking wheel to monitor linear displacement. If the encoder produces 256 pulses per revolution, what will be the number of pulses produced by a linear displacement of 200 mm?

Answer 1

number of pulses produced = 162 pulses

Step-by-step explanation:

give data

radius = 50 mm

encoder produces = 256 pulses per revolution

linear displacement = 200 mm

solution

first we consider here roll shaft encoder on the flat surface without any slipping

we get here now circumference that is

circumference = 2 π r .........1

circumference = 2 × π × 50

circumference = 314.16 mm

so now we get number of pulses produced

number of pulses produced =
`(linear\ displacement)/(circumference)` × No of pulses per revolution .................2

number of pulses produced =
`(200)/(314.16)` × 256

number of pulses produced = 162 pulses