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Trig Time Travelers: Solving for Robotic Arm Constraints
Trig Time Travelers: Solving for Robotic Arm Constraints
How can we use trigonometric equations and the unit circle to model and solve for all possible positions of a robotic arm within real-world design constraints?
Learning Intentions:
Define and apply quantitative design constraints for a robotic arm, solve trigonometric equations for all valid solutions, represent these solutions on the unit circle, connect mathematical results to physical arm positions, justify their reasoning, and collaborate effectively to solve and communicate engineering problems.
Today's Concept:
Up until now, we've been asking 'What is the one angle to get to this specific point?' But in the real world, your user's problem might be more open-ended.
Imagine your user says, 'I need the robot to hold this flashlight and shine it anywhere on the wall that is at least 10 inches above the desk surface.' This isn't a single point; it's a whole zone. There isn't just one answer for the motor angle; there might be two, or many, or none. Today, you are going to be 'Trig Time Travelers,' using trigonometry to find all the possible futures (arm positions) that solve your user's problem.
You are now Trig Time Travelers, and math will repair time glitches and guide robotic arms through distorted timelines.
Get information about your mission above, and click the button below for your specific codes.
Mission Handbook
Mission Phrases
70-71 TIMELINE STABILIZED
48 – 70 Time Thread Restored
25 – 47 Wormhole Aligned
20 – 24 Quantum Sync Complete
1-6 Weak Signal Detected
0 Time Distortion Detected (All Ghost Signals)
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