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OpenStudy (anonymous):
your questions?
OpenStudy (sebastiangonzagonza):
It's a multi-part question
OpenStudy (sebastiangonzagonza):
A Ferris wheel is an amusement park ride comprised of a large wheel rotating on an axis. There are cars or compartments where people can sit or stand that are evenly spaced about the circumference of the circle. The wheel rotates slowly, taking passengers on a ride around the circumference of the circle.
Please select one of the following famous Ferris wheels to research:
Singapore Flyer
London Eye
Star of Nanchang
You will need to find the diameter and number of compartments (or cars) for the one you chose in order to be able to complete the calculations section of the assignment. Once you have your information, move on to step 2.
OpenStudy (sebastiangonzagonza):
i selected the London Eye
OpenStudy (anonymous):
ok and?
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OpenStudy (sebastiangonzagonza):
Complete the following tasks and calculations. You must show all work and steps to receive full credit.
Name of the Ferris wheel
Diameter of the wheel (in meters)
Number of cars or compartments
Circumference of the wheel (in meters)
Area of the wheel (in meters)
Measure of a central angle in degrees
Measure of a central angle in radians
Arc length between two cars or compartments
Area of a sector between two cars or compartments
OpenStudy (sebastiangonzagonza):
i just need help walking through it
OpenStudy (sebastiangonzagonza):
so obviously #1 would be The London Eye lol
OpenStudy (anonymous):
you need the help from wikipedia
OpenStudy (sebastiangonzagonza):
okay
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OpenStudy (anonymous):
they have the dimensions and all the details
OpenStudy (sebastiangonzagonza):
okay thank you
OpenStudy (anonymous):
yw
OpenStudy (sebastiangonzagonza):
@Hero Hi. can you please help me. Wikipedia doesnt have this information and i need a bit more help
OpenStudy (anonymous):
i can help you if you choose singapore flyer...the diameter is 150m
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OpenStudy (sebastiangonzagonza):
okay
OpenStudy (sebastiangonzagonza):
but i do want to be walked through it
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
theres 28 compartments
OpenStudy (sebastiangonzagonza):
i was about to say that lol
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OpenStudy (anonymous):
i live in singapore btw. lol
OpenStudy (sebastiangonzagonza):
really??? thats so cool!! i live in florida
OpenStudy (anonymous):
cost SGD30 a ride there
OpenStudy (sebastiangonzagonza):
wow 20 us dollars
OpenStudy (anonymous):
now we got the first 3 problems out
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OpenStudy (sebastiangonzagonza):
now i have to find the circumference of the wheel
OpenStudy (anonymous):
you know how to calculator that right?
OpenStudy (anonymous):
the rest of the questions are calculations
OpenStudy (sebastiangonzagonza):
not really
OpenStudy (sebastiangonzagonza):
should i do it?
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OpenStudy (anonymous):
yea you should
OpenStudy (sebastiangonzagonza):
i mean how should i do it?
OpenStudy (anonymous):
circumference = diameter * pi
OpenStudy (sebastiangonzagonza):
okay hold on
OpenStudy (sebastiangonzagonza):
so is it 471??
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OpenStudy (anonymous):
yes
OpenStudy (sebastiangonzagonza):
okay
OpenStudy (anonymous):
471.239
OpenStudy (anonymous):
try not to cut off too much of the decimals, it can affect your calculations later
OpenStudy (anonymous):
now we have
Area of the wheel (in meters)
Measure of a central angle in degrees
Measure of a central angle in radians
Arc length between two cars or compartments
Area of a sector between two cars or compartments
to do
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OpenStudy (sebastiangonzagonza):
okay so how should i calculate the area?
OpenStudy (anonymous):
\[A=\pi r^2\]
OpenStudy (sebastiangonzagonza):
r is radius, correct??
OpenStudy (anonymous):
yup
OpenStudy (sebastiangonzagonza):
so r is c/2
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OpenStudy (sebastiangonzagonza):
547370.9643537529??
OpenStudy (anonymous):
no
OpenStudy (anonymous):
radius is d/2
OpenStudy (sebastiangonzagonza):
OHH okay
OpenStudy (sebastiangonzagonza):
55460.25?
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OpenStudy (anonymous):
|dw:1438968164365:dw|
OpenStudy (anonymous):
|dw:1438968220429:dw|
OpenStudy (anonymous):
no either
OpenStudy (anonymous):
square your radius then multiply by pi
OpenStudy (sebastiangonzagonza):
but the diameter is 150?
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OpenStudy (anonymous):
radius is half of diameter
OpenStudy (anonymous):
Area = pi times radius squared
OpenStudy (sebastiangonzagonza):
okay so since the radius is half of the diameter it would be 75
OpenStudy (sebastiangonzagonza):
then mulitplied by itself it would be 5625
OpenStudy (sebastiangonzagonza):
so then 5625*3.14 is 17662.5
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OpenStudy (anonymous):
correct
OpenStudy (anonymous):
now for the central angle, it probably is asking the angle between 2 cars
OpenStudy (sebastiangonzagonza):
okay so how should i calculate it?
OpenStudy (anonymous):
360 divide by 28 which is the number of cars
OpenStudy (sebastiangonzagonza):
12.8571
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
now we have to convert that to radian
OpenStudy (anonymous):
use this formula\[\theta \times \frac{ \pi }{ 180 }\]
OpenStudy (sebastiangonzagonza):
what should i put in the calculator
OpenStudy (anonymous):
the angle in degree multiply by pi
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OpenStudy (anonymous):
then divide by 180
OpenStudy (sebastiangonzagonza):
0.22428
OpenStudy (anonymous):
i have 0.224399 but it doesnt matter much
OpenStudy (sebastiangonzagonza):
Okay
OpenStudy (anonymous):
the unit for this is rad
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OpenStudy (sebastiangonzagonza):
so was that for number 6 or 7
OpenStudy (anonymous):
Measure of a central angle in radians
OpenStudy (sebastiangonzagonza):
oh what was the one in degrees?
OpenStudy (anonymous):
12.8571
OpenStudy (sebastiangonzagonza):
so now the arc length between two cars or compartments
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