A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride?
132 feet
659 feet
1,978 feet
3,956 feet
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OpenStudy (zzr0ck3r):
so circle with radius 21 has circumference is 2pi*r and that is how much we will travel in one turn, we go 3 turns per min for five mins we have 15 turns.
can you get it from here?
OpenStudy (samirahdanyel):
no I don't
OpenStudy (samirahdanyel):
oh wait I get it
OpenStudy (samirahdanyel):
Now i gotta figure it out for 5 min ride?
OpenStudy (samirahdanyel):
which I dont know how to do
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jimthompson5910 (jim_thompson5910):
@samirahdanyel what did you get for the circumference of the circle?
OpenStudy (samirahdanyel):
I didn't do that yet.
jimthompson5910 (jim_thompson5910):
use 2*pi*r
pi = 3.14 (approx)
r = 21 since the diameter is 42 and 42/2 = 21
OpenStudy (samirahdanyel):
I got 42 pi
jimthompson5910 (jim_thompson5910):
so one full cycle has the person traveling `42pi` feet
in one minute the wheel rotates 3 times, so how many feet does this person go in one minute?
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OpenStudy (samirahdanyel):
Do i multiply
OpenStudy (samirahdanyel):
or something like that
jimthompson5910 (jim_thompson5910):
yes
jimthompson5910 (jim_thompson5910):
3*42pi = ??
jimthompson5910 (jim_thompson5910):
or you can think of it as 42pi+42pi+42pi but that is a bit more cumbersome
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OpenStudy (samirahdanyel):
I got 126 pi
jimthompson5910 (jim_thompson5910):
yep, so in one minute, the person travels `126pi` feet
jimthompson5910 (jim_thompson5910):
now multiply that by 5 to get the total distance they travel in 5 minutes
OpenStudy (samirahdanyel):
i got 630 pi
jimthompson5910 (jim_thompson5910):
me too, so that is the answer in terms of pi
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jimthompson5910 (jim_thompson5910):
630pi means 630*pi
replace pi with 3.14
OpenStudy (samirahdanyel):
okay so i do 630 (3.14) *5
jimthompson5910 (jim_thompson5910):
no just 630*3.14
jimthompson5910 (jim_thompson5910):
the 5 is already built in
OpenStudy (samirahdanyel):
okay
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OpenStudy (samirahdanyel):
I got 1979.20337
jimthompson5910 (jim_thompson5910):
If you use pi = 3.14, then you should get
630*pi = 630*3.14 = 1,978.2