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Ferris wheel trig problems
- Lesson: 138:37
Ferris wheel trig problems
Basic Concepts: Sine graph: y = sin x, Cosine graph: y = cos x, Graphing transformations of trigonometric functions
Related Concepts: Reference angle, Find the exact value of trigonometric ratios, ASTC rule in trigonometry (All Students Take Calculus), Converting between degrees and radians
Lessons
- 1.A Ferris wheel has a radius of 18 meters and a center C which is 20m above the ground. It rotates once every 32 seconds in the direction shown in the diagram. A platform allows a passenger to get on the Ferris wheel at a point P which is 20m above the ground. If the ride begins at point P, when the time t = 0 seconds:
a)Graph how the height h of a passenger varies with respect to the elapsed time t during one rotation of the Ferris wheel. Clearly show at least 5 points on the graph.b)Determine a sinusoidal function that gives the passenger's height, h, in meters, above the ground as a function of time t seconds.c)How high above the ground would a passenger be 18 seconds after the Ferris wheel starts moving?d)How many seconds on each rotation is a passenger more than 30m in the air?
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15.
Applications of Trigonometric Functions
15.1
Ferris wheel trig problems
15.2
Tides and water depth trig problems
15.3
Spring (simple harmonic motion) trig problems