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Milestone 1: Ask
Identify a user, investigate their motion needs, and the context.
Key Deliverables:
User interview notes (open-ended questions, daily challenges, and context)
Clear, human-centered problem statement (user-action-outcome format)
Short reflection on the significance of the problem for the user
Initial “need-to-know” list about the user’s challenge and project requirements
Circles in Motion: Modeling Robotic Arms with the Unit Circle
Circles in Motion: Modeling Robotic Arms with the Unit Circle
How can the unit circle help us translate a user's physical motion into exact coordinates that a robot can reach?
Learning Intentions:
Use the unit circle to translate any angle into an (x, y) coordinate and map a user's motion arc onto the circle to describe start and end positions mathematically.
Today's Concept:
An angle is a position. That's the central idea of the unit circle. When a robot arm is set to 45°, the tip doesn't land 'somewhere around there' — it lands at exactly one point, described by two coordinates: (cos 45°, sin 45°). Scale that by arm length, and you have the precise location.
Today, you build the connection between your user's task and those coordinates. You'll measure your robot, generate data, and discover the unit circle patterns yourself before it's named. By the end of class, you'll be able to describe your user's motion with specific start and end angles — and calculate exactly where the robot tip needs to be.
The Chinese artists Sun Yuan and Peng Yu participate in the 58th International Art Exhibition in Venice with their work “Can’t Help Myself” (2016). For this piece, Sun Yuan and Peng Yu use a Kuka industrial robot, stainless steel and rubber, cellulose ether in colored water, lighting grid with Cognex visual-recognition sensors, and polycarbonate wall with aluminum frame.
Roborock Saros Z70
Some Examples of Robot Arms Assisting People
Activity
Activity
Explore It – Unit Circle & Motion Placement
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