Interactive model

RO: Encoder Counts to Angle

Adjust encoder count, zero offset, and counts per revolution to see the angle update live.

Encoder Counts to Angle

This page turns encoder counts into a joint angle using a live illustration.

Use the controls below to change:

The illustration updates the pointer direction and reports the resulting angle in radians and degrees.

The conversion model is:

θ = 2π c - c0N

Use this as a study companion for Intro to Servomotor.

Angle (radians): 0.000

Angle (degrees): 0.0

Wrapped angle: -

Encoder disk zero count c₀ current count c θ θ = 2π (c - c₀) / N

The pointer rotates from the zero reference using the offset-adjusted count fraction.