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Two-Step Problems: Angle + Arc Length Together
Two-Step Problems: Angle + Arc Length Together
How can we chain trigonometry and arc length to solve the full motion problem for our user's task?
Learning Intentions:
Solve a two-position problem by applying SOHCAHTOA to find both angles and s = rθ to find the arc length the tip travels between them.
Today's Concept:
Engineering problems chain multiple math tools in sequence.
Real engineering problems don't hand you one tool at a time. To move a robot arm from one position to another, you need to find both angles (SOHCAHTOA twice) and then calculate how far the tip traveled between them (arc length). These aren't separate skills anymore — they're steps in a sequence. Today you chain them on a single problem, label each step by name, and do it again without the labels. Before next class: be ready to state your user's task in one sentence and name one calculation you've already done for it.
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