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Triangle Tactics: Solving Robotic Arm Challenges with Trigonometry
Triangle Tactics: Solving Robotic Arm Challenges with Trigonometry
How can we solve for unknown sides or angles in triangles formed by robotic arm segments, and how does this help us determine if our design meets user requirements and real-world constraints?
Learning Intentions:
Identify known and unknown sides or angles, select and apply the appropriate trigonometric strategy (sine, cosine, tangent, or inverse trig), explain and justify reasoning, recognize domain limits for inverse trig functions, evaluate peer work, and connect math to the feasibility of robotic arm motion and constraints.
Identify known and unknown sides or angles, select and apply the appropriate trigonometric strategy (sine, cosine, tangent, or inverse trig), explain and justify reasoning, recognize domain limits for inverse trig functions, evaluate peer work, and connect math to the feasibility of robotic arm motion and constraints.
Today's Concept:
Yesterday, we used angles to find positions. But in the real world, your user usually gives you the opposite problem. They say, 'Here is the cup at position (12, 5). Go get it.'
You know where the cup is. You know how long your robot arm is. What you don't know is what angle to tell the motor to turn to. You have the answer (the position), and you need to find the question (the angle). Today, we learn how to work backward using the 'undo' buttons of trigonometry: the inverse functions.
Station 1
Station 1
Apply It - Forward Kinematics
Station 2
Station 2
Explore It - Triangle Plans
Station 3
Station 3
Apply It - Triangle Plan
Station 4
Station 4
Practice It - Designing with SOHCAHTOA
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