Ferris Wheel Trigonometric Modelling
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Ferris Wheel Trigonometric Modelling
🎡 Part 1: Problem Setup and Mathematical Selection
Ferris Wheel Specifications:
• Diameter: 40 metres
• Centre height above ground: 25 metres
• Rotation time: 8 minutes (anticlockwise)
• Starting position: bottom of the wheel
a) ________________________________________________
b) ________________________________________________
c) ________________________________________________
📐 Part 2: Model Development and Calculations
For h(t) = A sin(Bt + C) + D, where h is height in metres and t is time in minutes:
• Amplitude A = _______ metres
• Period coefficient B = _______
• Phase shift C = _______
• Vertical shift D = _______ metres
h(t) = ________________________________________________
• At t = 0 minutes: h(0) = _______ metres
• At t = 2 minutes: h(2) = _______ metres
• At t = 4 minutes: h(4) = _______ metres
• At t = 6 minutes: h(6) = _______ metres
🔍 Part 3: Interpretation and Communication
Maximum height: _______ metres
Minimum height: _______ metres
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