Conner boards a Ferris wheel at the 3 o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 4.7 radians per minute and has a radius of 50 feet. The center of the Ferris wheel is 56 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating. a. Write an expression (in terms of t) to represent the varying number of radians θ Conner has swept out since the ride started. b. Write an expression (in terms of t) to represent Conner's height (in feet) above the center of the Ferris wheel. c. Write an expression (in terms of t) to represent Conner's height (in feet) above the ground.
Added by Cesar G.
Step 1
The angle swept out by Conner can be calculated using the formula: θ = ωt where θ is the angle swept out, ω is the angular speed (4.7 radians per minute), and t is the time elapsed since the ride started (in minutes). Show more…
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