Advanced Functions
posted by Lily
PLEASE READ THE BOTTOM I ADDED ON!! :) the ferris wheel at an amusement park measures 16m in diameter. the wheel does 3 rotations every minute. the bottom of the wheel is 1m above the ground...
a) determine the simplest equation that models Megan's height above that ground(h) over time (t). give 2 more equations that model the situation. please explain! :)
I need a cosine equation and why is the period 20 mins shouldn't it be 0.33, aren't u you suppose to divided 1 by 3 to get 0.33 as ur period (1 rotation per a min)

Steve
see related questions below. If you're still stuck, show us your work and your sticking point.

Lily
period 1/3 = 0.333 (1 revolution per a min)
k=2pi/1/3
= 6 pi
isnt that the k value why would it be 1/10 pi 
Steve
You have figured the period in hours. Reiny did it in minutes, so his period is 6pi/60 = pi/10

Steve
sorry. You did yours in minutes. He did his in seconds, but the ratio is the same.

Lily
oh okay thank you makes sense now! would it just be 8 cos (pi/10) +9 for the cosine equation? and what would the period be in seconds? and would that effect the question? cause the next question what is her height after 25 secs

Lily
Opss i didnt read that, i just refreshed the page! okok, so reiny did it in secs. but for cosine equation would it be 8 cos (pi/10) +9 or different

Lily
wait but why did reiny write 20 mins for the period?

Reiny
sorry about the confusion , I just look back at my solution, that should have been 20 seconds
(at 3 rotations per minute > 1 rotation in 20 seconds)
the math stays the same, t is in seconds
Respond to this Question
Similar Questions

trig question
A Ferris wheel has a deameter of 50m. The platform at the bottom, where you load the ferris wheel, is 3 m above the ground. The Ferris wheel rotates three times every two minutes. A stopwatch is started and you notice you are even … 
Physics
Fairgoers ride a Ferris wheel with a radius of 5.00 {\rm m} . The wheel completes one revolution every 31.5 s What is the average speed of a rider on this Ferris wheel? 
Trigonometry
A carnival Ferris wheel with a radius of 7 m makes one complete revolution every 16 seconds. The bottom of the wheel is 1.5 m above the ground. The ride starts at the bottom. Find the sinusoidal function that models this Ferris wheel … 
math
a ferris wheel has the diameter of 240 feet and the bottom of the ferris wheel is 9 feet above the ground. find the equation of the wheel if the origin is placed on the ground directly below the center of the wheel 
College Algebra
A ferris wheel has a diameter of 320 feet and the bottom of the Ferris wheel is 9 feet above the ground. Find the equation of the wheel if the origin is placed on the ground directly below the center of the wheel. 
Math
The rim of the London Eye (a 135m diameter ferris wheel) moves 26 cm/sec, slow enough for passengers to safely get on the wheel from the platform (2 meters above ground level) without stopping the wheel at the bottom of its rotation. … 
trigonometry
a ferris wheel is 50 meters in diameter with the bottom of the wheel 1 meter off the ground it makes a full revolution in 12 minutes. What function would track the height above the ground for a point that is at the bottom of the wheel … 
Advanced Functions
the ferris wheel at an amusement park measures 16m in diameter. the wheel does 3 rotations every minute. the bottom of the wheel is 1m above the ground... a) determine the simplest equation that models Megan's height above that ground(h) … 
Advanced Functions
the ferris wheel at an amusement park measures 16m in diameter. the wheel does 3 rotations every minute. the bottom of the wheel is 1m above the ground... a) determine the simplest equation that models Megan's height above that ground(h) … 
math (trigonometry)
A ferris wheel has a diameter of 100m and the bottom of the wheel is 4m above the ground. It rotates two times every 10 minutes. Using this information, complete each question. c) Determine the angular velocity of the Ferris wheel …