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Explanation & Answer
Top is 180 - (64 + 56 ) = 60
Middle is 64 as it is opposite 64
Bottom is 180 -(71 + 64) = 45
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SNHU WK 6 Ferris Wheel Is 29 Meters in Diameter Discussion
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SNHU WK 6 Ferris Wheel Is 29 Meters in Diameter Discussion
Mathematical models are constructed for many different practical applications, and we start to build some of them in this course. This discussion begins with a simple geometric model.
For your initial post, you must do the following:
Solve the problem in the Mobius module discussion.
Explain how you got your results in the Brightspace module discussion.
For your response posts, you must do the following:
Comment on your classmates’ analyses and their answers. Compare and contrast your problem-solving approach to how your classmates solved the problem.
Review the explanations given by your peers for their problem-solving strategies. Your comments may focus on the following:
How did they describe steps to make their explanations clear?
What additional details could they have included?
What details did they include that you may not have?
What changes would you make to your initial post?
Reply to at least two different classmates outside of your own initial post thread.
6-1 Trigonometric Models
Contains unread posts
Michael Foisy posted Apr 7, 2021 12:17 PM
A Ferris wheel is 27 meters in diameter and completes 1 full revolution in 16 minutes
A:.
Amplitude: A = 13.5
27/ 2 - which is half the height of the Ferris wheel.
Midline: h = 14.5
13.5 + 1 = 14.5 – half the height of Ferris wheel +1 for the platform being 1 meter above ground.
Period: P = 16
1 full revolution every 16 minutes
B:
h = -Acos(B*t)+C
h(t) = -13.5cos(Pi/8*t)+14.5
C:
If the Ferris wheel continues to turn, how high off the ground is a person after 36 minutes? 14.5
Daniel Fiedorowicz posted Apr 6, 2021 7:43 PM
to Group 1
Subscribe
Hello All,
A Ferris wheel is 22 meters in diameter and completes 1 full revolution in 16 minutes.
A. A Ferris wheel is 22 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 16 minutes. The function h(t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn.
Amplitude: Based on the given information the Diameter of the Ferris wheel is 22 meters. The radius of the wheel is Diameter/2 so for this wheel the radius is 11 meters. Therefore the height will oscillate with amplitude of 11 meters above and below the center.
A= 11 meters
Midline: Passengers will get on the wheel 1 m above the ground, so the center of the wheel must be located 11+1=12 meters above ground level. The midline of the oscillation will be at 12 meters.
h= 12 meters
Period: The Ferris wheel takes 16 minutes to complete 1 revolution, so the height will oscillate with a period of 16 minutes. A person riding the wheel will board at the lowest point of the wheel and go up, making the function of the wheel a cosine function.
P= 16 Minutes
Shape= -cos
B. The basic Sinusoidal cosine function would be:
y=Acos(Bx?C)+D
In order to use this formula we need to calculate the value of the period:
2?|B|= 2?|16|=?8
so with that we can plug in the rest given information into the formula:
A=-11
B= ?8
C= 0
D= 12
x= time: t
h(t)=?11cos(?8t)+12
C. If the Ferris wheel continues to turn, how high off the ground is a person after 60 minutes?
I inserted 60 into our function as the value for t, then used excel to find the correct answer.
h(60)=?11cos(?8(60))+12=12
After 60 minutes of riding the wheel the person is 12 meters off the ground.
Simplifying Radicals
In this discussion, you will simplify and compare equivalent expressions
written both in radical form and with rational ...
Simplifying Radicals
In this discussion, you will simplify and compare equivalent expressions
written both in radical form and with rational (fractional) exponentQuestion 1(5^4 )^1/2
Question 2(m^1/4 n^1/2)^2 (m^2 n^3)^1/2Simplify each expression using the rules of exponents and examine the steps you are taking.
Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.):
Principal root Product rule Quotient rule Reciprocal nth root
Refer to Inserting Math Symbols
for guidance with formatting. Be aware with regards to the square root
symbol, you will notice that it only shows the front part of a radical
and not the top bar. Thus, it is impossible to tell how much of an
expression is included in the radical itself unless you use parenthesis.
For example, if we have √12 + 9 it is not enough for us to know if the 9
is under the radical with the 12 or not. Therefore, we must specify
whether we mean it to say √(12) + 9 or √(12 + 9), as there is a big
difference between the two. This distinction is important in your
notation.
Another solution is to type the letters “sqrt” in place of the radical
and use parenthesis to indicate how much is included in the radical as
described in the second method above. The example above would appear as
either “sqrt(12) + 9” or “sqrt(12 + 9)” depending on what we needed it
to say.
Your initial post should be at least 250 words in length.
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Most Popular Content
binomial distribution
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula ...
binomial distribution
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n = 10, x = 8 , p = 0.5
6 pages
Solution
A random sample of 5 year old children is evaluated for being left- or right-handed. The size n = 100 children of which 79 ...
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A random sample of 5 year old children is evaluated for being left- or right-handed. The size n = 100 children of which 79 are right-handed, 15 are ...
4 pages
International Tractor Motors
International Tractor Motors (ITM) had recently undertaken an ad campaign aimed at agricultural owners in a certain countr ...
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SNHU WK 6 Ferris Wheel Is 29 Meters in Diameter Discussion
Mathematical models are constructed for many different practical applications, and we start to build some of them in this ...
SNHU WK 6 Ferris Wheel Is 29 Meters in Diameter Discussion
Mathematical models are constructed for many different practical applications, and we start to build some of them in this course. This discussion begins with a simple geometric model.
For your initial post, you must do the following:
Solve the problem in the Mobius module discussion.
Explain how you got your results in the Brightspace module discussion.
For your response posts, you must do the following:
Comment on your classmates’ analyses and their answers. Compare and contrast your problem-solving approach to how your classmates solved the problem.
Review the explanations given by your peers for their problem-solving strategies. Your comments may focus on the following:
How did they describe steps to make their explanations clear?
What additional details could they have included?
What details did they include that you may not have?
What changes would you make to your initial post?
Reply to at least two different classmates outside of your own initial post thread.
6-1 Trigonometric Models
Contains unread posts
Michael Foisy posted Apr 7, 2021 12:17 PM
A Ferris wheel is 27 meters in diameter and completes 1 full revolution in 16 minutes
A:.
Amplitude: A = 13.5
27/ 2 - which is half the height of the Ferris wheel.
Midline: h = 14.5
13.5 + 1 = 14.5 – half the height of Ferris wheel +1 for the platform being 1 meter above ground.
Period: P = 16
1 full revolution every 16 minutes
B:
h = -Acos(B*t)+C
h(t) = -13.5cos(Pi/8*t)+14.5
C:
If the Ferris wheel continues to turn, how high off the ground is a person after 36 minutes? 14.5
Daniel Fiedorowicz posted Apr 6, 2021 7:43 PM
to Group 1
Subscribe
Hello All,
A Ferris wheel is 22 meters in diameter and completes 1 full revolution in 16 minutes.
A. A Ferris wheel is 22 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 16 minutes. The function h(t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn.
Amplitude: Based on the given information the Diameter of the Ferris wheel is 22 meters. The radius of the wheel is Diameter/2 so for this wheel the radius is 11 meters. Therefore the height will oscillate with amplitude of 11 meters above and below the center.
A= 11 meters
Midline: Passengers will get on the wheel 1 m above the ground, so the center of the wheel must be located 11+1=12 meters above ground level. The midline of the oscillation will be at 12 meters.
h= 12 meters
Period: The Ferris wheel takes 16 minutes to complete 1 revolution, so the height will oscillate with a period of 16 minutes. A person riding the wheel will board at the lowest point of the wheel and go up, making the function of the wheel a cosine function.
P= 16 Minutes
Shape= -cos
B. The basic Sinusoidal cosine function would be:
y=Acos(Bx?C)+D
In order to use this formula we need to calculate the value of the period:
2?|B|= 2?|16|=?8
so with that we can plug in the rest given information into the formula:
A=-11
B= ?8
C= 0
D= 12
x= time: t
h(t)=?11cos(?8t)+12
C. If the Ferris wheel continues to turn, how high off the ground is a person after 60 minutes?
I inserted 60 into our function as the value for t, then used excel to find the correct answer.
h(60)=?11cos(?8(60))+12=12
After 60 minutes of riding the wheel the person is 12 meters off the ground.
Simplifying Radicals
In this discussion, you will simplify and compare equivalent expressions
written both in radical form and with rational ...
Simplifying Radicals
In this discussion, you will simplify and compare equivalent expressions
written both in radical form and with rational (fractional) exponentQuestion 1(5^4 )^1/2
Question 2(m^1/4 n^1/2)^2 (m^2 n^3)^1/2Simplify each expression using the rules of exponents and examine the steps you are taking.
Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.):
Principal root Product rule Quotient rule Reciprocal nth root
Refer to Inserting Math Symbols
for guidance with formatting. Be aware with regards to the square root
symbol, you will notice that it only shows the front part of a radical
and not the top bar. Thus, it is impossible to tell how much of an
expression is included in the radical itself unless you use parenthesis.
For example, if we have √12 + 9 it is not enough for us to know if the 9
is under the radical with the 12 or not. Therefore, we must specify
whether we mean it to say √(12) + 9 or √(12 + 9), as there is a big
difference between the two. This distinction is important in your
notation.
Another solution is to type the letters “sqrt” in place of the radical
and use parenthesis to indicate how much is included in the radical as
described in the second method above. The example above would appear as
either “sqrt(12) + 9” or “sqrt(12 + 9)” depending on what we needed it
to say.
Your initial post should be at least 250 words in length.
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