What is the number of full rotations a tire will complete in 10,000 miles if the tire is 24 inches in diameter??
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OpenStudy (southernbell82):
Is there a formula to find out this??
Vocaloid (vocaloid):
first convert miles to inches
Vocaloid (vocaloid):
1 mile = 63360 inches
OpenStudy (southernbell82):
Could you help me do one first? If the diameter is 24 inches?? I have 3 to do. Just need to see how the first one is done.
Vocaloid (vocaloid):
again, convert miles to inches
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Vocaloid (vocaloid):
10,000 miles = ______ inches
fill in the blank
OpenStudy (southernbell82):
This is what my calc says. I know this is wrong 6.336e+8
Vocaloid (vocaloid):
that's correct
Vocaloid (vocaloid):
now we calculate the circumference
Vocaloid (vocaloid):
circumference = pi * diameter = ?
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OpenStudy (southernbell82):
75.4?
Vocaloid (vocaloid):
good now we divide 6.336e+8/75.4
OpenStudy (southernbell82):
11.9?
Vocaloid (vocaloid):
nope
OpenStudy (southernbell82):
0.084?
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Vocaloid (vocaloid):
(6.336 * 10^8)/75.4 = ?
OpenStudy (southernbell82):
Oh Okay One sec...
OpenStudy (southernbell82):
I don't know. I'm getting a huge number! :(
Vocaloid (vocaloid):
tell me what it is
OpenStudy (southernbell82):
8403183.02387
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Vocaloid (vocaloid):
good, now we round down to
8,403,183
OpenStudy (southernbell82):
I'm going to fail Geometry this project is due tomorrow! :(
Vocaloid (vocaloid):
it's supposed to be a big number. this is the number of times the wheel will turn when we drive 10,000 miles which is a lot
OpenStudy (southernbell82):
Oh Okay ! So this is the answer??
Vocaloid (vocaloid):
yes
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OpenStudy (southernbell82):
Wow Thanks a Bunch!! I have another question??
Vocaloid (vocaloid):
sure
OpenStudy (southernbell82):
What would happen to the number of rotations if the circumference of the tire was increased by 20%?
OpenStudy (southernbell82):
I have more but I know you may be busy.
Vocaloid (vocaloid):
you do what we did before except the circumference this time is
1.2 * 75.4
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OpenStudy (southernbell82):
This project is due tomorrow.
Vocaloid (vocaloid):
so we divide
(6.366 * 10^8)/ (75.4 * 1.2)
Vocaloid (vocaloid):
the number of rotations decreases
OpenStudy (southernbell82):
And if it decreases by 20%?
Vocaloid (vocaloid):
not by 20%
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OpenStudy (southernbell82):
No that's the other question if the circumference decreased by 20%?
Vocaloid (vocaloid):
i understand what you meant
if the circumference decreases by 20% the number of rotations decreases, but NOT by 20%.
Vocaloid (vocaloid):
it decreases by some other percentage
OpenStudy (southernbell82):
Okay thank you so much!!
OpenStudy (southernbell82):
I have another question @Vocaloid???
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Vocaloid (vocaloid):
sure
OpenStudy (southernbell82):
It is asking me to estimate how much I drive in a week for the car with 24 in diameter tire. Calculate daily rotations?? If I say I drive 150 miles per week how would I calculate that?
Vocaloid (vocaloid):
same thing as we did before.
Vocaloid (vocaloid):
convert miles to inches
Vocaloid (vocaloid):
then divide by circumference
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Vocaloid (vocaloid):
see our earlier work if you need help
OpenStudy (southernbell82):
Where does the 150 come in at??
OpenStudy (southernbell82):
If I say that's what I drive per week.
Vocaloid (vocaloid):
repeat what we did the first time
Vocaloid (vocaloid):
instead of 10,000 miles use 150 miles...
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OpenStudy (southernbell82):
Would it be 1,260,477
Vocaloid (vocaloid):
almost
Vocaloid (vocaloid):
126047
OpenStudy (southernbell82):
Wow!! Can't believe I was that close. Last question ?
OpenStudy (southernbell82):
Predict when you will need to switch the front and back tires?
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Vocaloid (vocaloid):
hm. did they give you any background information on this?
Vocaloid (vocaloid):
i don't know much about cars or tires
OpenStudy (southernbell82):
They say you rotate every 10,000 miles
Vocaloid (vocaloid):
oh ok that's easy then
OpenStudy (southernbell82):
You have been a lifesaver so far!! Thank a bunch!! ;)
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Vocaloid (vocaloid):
since you drive 150 per week you just divide
10,000/150 to get the number of weeks
OpenStudy (southernbell82):
Wow!! You are a genius!! :)
Vocaloid (vocaloid):
np im going to sleep but feel free to tag someone if you need additional help