moongazer
  • moongazer
The speed of a car is 80 miles per hour. Find the radius of the car wheels in inches if the car makes 300 rev/min.
Mathematics
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SOLVED
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katieb
  • katieb
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moongazer
  • moongazer
I got r=44.82 inches is it correct?
amistre64
  • amistre64
how many revolutions per hour does it make?
moongazer
  • moongazer
5 rev per hour

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More answers

amistre64
  • amistre64
really? it does 300 revs in one minute; how can it do way less revs in one hour?
amistre64
  • amistre64
300*60 ...
moongazer
  • moongazer
sorry for that I interchanged it :) 18000 per hour
amistre64
  • amistre64
18000 revs in one hour put to the ratio of 80 miles 18000/80 is our next step i believe
amistre64
  • amistre64
of if we knew how many inches 80 miles was we could go more directly to an answer ....
moongazer
  • moongazer
why did you made it into ratio?
amistre64
  • amistre64
becasue that is what it is: 18000 revs = 80 miles i spose since we want to know how far 1 rev takes us its better to make the rev side equal to 1 tho divide both sides by 18000
amistre64
  • amistre64
1 rev = the circumference of the wheel
moongazer
  • moongazer
sorry I got confused :)
amistre64
  • amistre64
if we convert 80 miles to inches; then we know how many inches 1 rev is; so we would know how many inches the circumference of the wheel is knowing circunference is equal to 2pi*radius; we solve for the radius r = C/2pi
moongazer
  • moongazer
Sorry, but I am really confused with your method. :) I did angular and linear speed with this one.
amistre64
  • amistre64
google says: 1mile=63360inches multiply both sides by 80 we get 80 miles = 5 068 800 inches 18000 revs = 5 068 800 inches divide both sides by 18000 to get 1 revolution 5 068 800/ 18000 = 281.6 281.6 inches is our circumference therefore, using what i posted up above; radius = 281.6/(2pi)
amistre64
  • amistre64
i did the same, i converted angular (rpm) into linear (miles, inches)
amistre64
  • amistre64
of course i get about a wheel that is about 7 feet in diameter lol
moongazer
  • moongazer
brb. i'll try to understand your method. it looks good :) still, I think we got the same answer but different method of getting it.
amistre64
  • amistre64
44.82, yes
moongazer
  • moongazer
and I think your method is faster :)

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