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GCE O-Level A Maths
27. Applications of Trigonometric Functions
27.1 Ferris wheel trig problems
Ferris wheel trig problems
What You'll Learn
Model periodic motion using sinusoidal functions based on real-world contexts
Identify amplitude, period, and vertical shift from Ferris wheel diagrams
Construct trigonometric equations from physical parameters like radius and rotation time
Calculate height at specific times using sine or cosine functions
Determine time intervals when height exceeds a given threshold
What You'll Practice
1
Graphing height functions for rotating Ferris wheels over time
2
Writing sinusoidal equations from radius, center height, and rotation period
3
Using graphing calculators to find specific heights at given times
4
Finding intersection points to determine time durations above certain heights
Why This Matters
Ferris wheel problems show you how trigonometry models real-world periodic motion. You'll use these same techniques in physics for oscillations, engineering for rotating machinery, and any field involving cyclical patternsfrom tides to sound waves.
Before You Start — Make Sure You Can:
This Unit Includes
1 Video lesson
Skills
Sinusoidal Functions
Periodic Motion
Amplitude
Period
Vertical Shift
Graphing Calculator
Real-World Applications
Trigonometry
