Old Dominion University PreCalculus Trigonometric Functions Math Worksheet I need help with this assignment. All of the requirements for it are on the docu

Old Dominion University PreCalculus Trigonometric Functions Math Worksheet I need help with this assignment. All of the requirements for it are on the document I sent you. In all of the problems I have to figure out an equation to help me determined the speed of the ride, the time it takes for the ride to make 1 full rotation, an equation that allows me to find the height of the ride at any given time, and the amount of time the timer for the camera needs to be set to. The most challenging for me are the last three questions. I need to show all of my work. I would also appreciate detailed steps and instructions so that I can understand the processes needed to solve the problems. PreCalculus- Trigonometric Functions
Name ______________________________
You have just landed a job for Calcu-Now’s Amusement Park as their newest Civil Engineer. With
your stellar math skills and problem solving ability they put you on the job right away. Perhaps not
the most thrilling ride, but possibly the most important, you are assigned to the improvement of the
Ferris wheel. The Ferris wheel is old and has not been serviced for many years. The park manager
acknowledges that people will not be interested in the ride unless some improvements are made.
You immediately decide increasing the speed and adding some features will do the trick.
Size and Speed
You fire up the old Ferris wheel and time a cart making the revolution around the wheel. It
takes a minute and 45 seconds for the cart to reach its starting position just like the control
panel predicts. The technicians helping you on the job mention that it was built to match the
size of the original Ferris Wheel in Chicago. This should give you the information you need
to find its current speed.
Regulations
The IAAPA (Amusement Ride Safety Regulations and Standards Organization) states that
Ferris wheel riders should not reach a speed of more than 12 mph or there is a danger that
they will be thrown from the cart. The control panel makes the speed an easy adjustment.
Its current setting of 1:45 just needs reset.
Tracking Position
The park manager insists that a system is put in place to track the height of each cart at any
moment. You assure the manager that this will be a breeze since the cart oscillates up and
down for four oscillations.
Camera Feature
You also decide to mount a camera 20 feet off the ground to capture the joy of the riders.
You will have a camera on both sides of the wheel to catch the riders 20 feet on the way up
and 20 feet on the way down. After the Ferris Wheel speed has been increased, you need to
time the cameras to fire when the cart reaches 20 feet on both sides.
Water Ride
As a final thrill feature, you decide to spray the riders with water. One technicians suggests
that you time this 15 seconds into the ride. Sounds like a good idea but you are worried it
will conflict with the camera shot. You don’t want water getting on the camera.
This could make or break your career as a civil engineer. Or worse, cause serious harm to a rider f
you don’t design this ride correctly. A lot rests in your hands. Use the information to develop a
report that the technicians can use to improve the ride. Include the adjustments needed and use
mathematical reasoning to defend your proposal.
The cart’s current speed is ____________________________________ mph.
?Mathematical proof
The cart speed should be increased to make a revolution in _____________________ .
?Mathematical proof
? Reset the control panel
The height of a cart starting from the ground at time ?? is model by ____________________________ .
?Mathematical proof
graph 1 complete ride
The camera should be programmed to take a picture after __________________________________ sec.
?Mathematical proof
Can the water ride be activated after 15 seconds? Why or why not?
?Mathematical proof
After you have done the calculations, summarize your engineering proposal here. What action
needs to be taken to make the Ferris wheel thrilling and safe.

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