How can understanding radians help us program a robot arm to move to an exact position?
Learning Intentions:
Define a radian as a physical unit by building one with string, and convert between degrees and radians to prepare for writing robot code.
Today's Concept:
If you see the number 1.57 in robot code, it's not a mistake. It's 90° — written in radians. Robot controllers use radians because the math behind arc length and rotation is cleaner in that unit. The conversion isn't arbitrary: one radian is exactly the length of the radius wrapped along the arc of the circle.
Today you build a radian with a string before you write any formulas. You'll lay the string along the radius, then along the edge of the circle, and count how many times it fits. That number — about 6.28, or 2π — is the foundation of every angle calculation in this unit.