Mathematics
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OpenStudy (anonymous):
HELP PLEASE!!! Can someone please tell me how my answer for this is wrong and give me the right answer? Problem attached below.
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
What's the area of the whole circle?
jimthompson5910 (jim_thompson5910):
Use
\[\Large A = \pi*r^2\]
OpenStudy (anonymous):
so its 12.56?
jimthompson5910 (jim_thompson5910):
then you multiply that by 35/360
this will get you the area of the slice (that has a 35 degree central angle)
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OpenStudy (anonymous):
So just multiply 12.56 by 35 which equals 439.6 over 360?
jimthompson5910 (jim_thompson5910):
correct
jimthompson5910 (jim_thompson5910):
that gives the approximate answer
OpenStudy (anonymous):
The area of this segment is only 1.22?
jimthompson5910 (jim_thompson5910):
correct
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OpenStudy (anonymous):
Ok Thanks
jimthompson5910 (jim_thompson5910):
oh you round that to the nearest whole number to get 1
jimthompson5910 (jim_thompson5910):
np
OpenStudy (anonymous):
Ok i just have one more
OpenStudy (anonymous):
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jimthompson5910 (jim_thompson5910):
we want the length of the arc, so we must find the entire perimeter of the circle first
jimthompson5910 (jim_thompson5910):
aka, the circumference
jimthompson5910 (jim_thompson5910):
So you'd use
\[\Large C = 2*\pi*r\]
OpenStudy (anonymous):
awesome ok i got it the answer is 2.7
jimthompson5910 (jim_thompson5910):
that is correct
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OpenStudy (anonymous):
I just have a problem with these because these are the equations they give me
OpenStudy (anonymous):
And i used that equation and it didnt work
jimthompson5910 (jim_thompson5910):
what did you get?
OpenStudy (anonymous):
yes i did it is also one
OpenStudy (anonymous):
I need help with this one though
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jimthompson5910 (jim_thompson5910):
wait, did you want to move on?
OpenStudy (anonymous):
Yes i figured out the other one
OpenStudy (anonymous):
It was 1
OpenStudy (anonymous):
also
jimthompson5910 (jim_thompson5910):
what's the gear's circumference?
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OpenStudy (anonymous):
Umm how do i find that?
jimthompson5910 (jim_thompson5910):
think of it as a circle
jimthompson5910 (jim_thompson5910):
it has a radius of 8
jimthompson5910 (jim_thompson5910):
oops 4 lol
jimthompson5910 (jim_thompson5910):
r = 4
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OpenStudy (anonymous):
so its 25
OpenStudy (anonymous):
sorry i had to leave for a moment
jimthompson5910 (jim_thompson5910):
what did you get before you rounded?
OpenStudy (anonymous):
25.13267.....
jimthompson5910 (jim_thompson5910):
so there are roughly 25.13267 inches per revolution (ie 1 rev = 25.13267 inches)
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jimthompson5910 (jim_thompson5910):
we now use the 8 rpm to help us find the linear velocity
jimthompson5910 (jim_thompson5910):
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