The Wheel Draws Its Own Graph

You'll learnto pull a sine model out of a Ferris wheel by matching physical features to graph features.

A ferris wheel hands you every parameter you need, but each one is wearing a disguise. The radius is the amplitude, not the diameter. The hub height is the midline, not the platform. The revolution time is the period, not the number that goes in the formula. Watch one wheel turn and trace its own height graph, and the extraction table stops being something to memorise.

8 STEPS · 6 QUICK CHECKS · RADIUS · HUB · REVOLUTION · STARTING POSTURE · v3

amplitude = radius · midline = hub height

Before you start

What you're looking at

A labeled wheel: radius, hub height, lowest and highest points, and revolution time.

The question

Which physical measurement becomes the amplitude, the midline, and the period?

Watch for

Radius as amplitude (not diameter), hub as midline (not platform), and the period feeding b = 2π/period.

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