Embedded Files
Sine Solutions: Applying the Law of Sines to Robotic Arm Design
Sine Solutions: Applying the Law of Sines to Robotic Arm Design
How can we design, analyze, and validate real-world robotic solutions when the triangle is not a right triangle?
Learning Intentions:
Identify when a triangle setup is appropriate for the Law of Sines (AAS, ASA, SSA), apply the Law of Sines to solve for unknown sides or angles, explain what part of their robot design they calculated and why, sort triangle types to recognize Law of Sines patterns, label triangle setups in their robotic design, and solve using the Law of Sines, showing all steps and interpreting results in the context of engineering decisions.
Today's Concept:
Remember the decision tree? SOHCAHTOA is for right triangles. But what about when the robot is reaching out, and the triangle isn't a right triangle? That's an oblique triangle.
Today, we learn the first tool for those tricky situations: The Law of Sines. It works whenever you know a 'complete pair', an angle AND the side directly across from it. It's a powerful tool for figuring out necessary joint angles when you know target locations, or for figuring out your robot's maximum reach at a certain pose.
Station 1
Station 1
Explore It – Triangle Sort & Strategy Selector Investigator
Station 2
Station 2
Practice It – Law of Sines Mini-Lesson & Guided Practice
Station 3
Station 3
Build It – Robot Arm Problem Solver
Page updated
Google Sites
Report abuse