Question

A shaft encoder is mounted on a 50 mm radius tracking wheel to monitor linear displacement. If the encoder produces 400 pulses per revolution. What is the linear displacement in mm per pulse?

Answer 1

The linear displacement in mm per pulse is gotten as; 254.64 mm per pulse

How to Calculate Linear Displacement?

Circumference of a circle is;

C = 2πr

We have;

Radius; r = 50 mm = 0.05 m

Thus;

C = 2π * 0.05

C = 0.3142 m

Angular displacement = 0.2/0.3412

Angular displacement = 0.6366

Formula for linear displacement is;

Linear Displacement = angular displacement * number of pulses per revolution

Linear Displacement = 0.6366 × 400

Linear displacement = 254.64 mm per pulse

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