anonymous
  • anonymous
A table saw blade, with diameter of 10.00 inches, rotates at about 3200 revolutions per minute. Find the linear speed of a point on the tip of the blade and express it to the nearest mile per hour. A) 71 mph B) 77 mph C) 83 mph D) 89 mph E) 95 mph
Mathematics
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anonymous
  • anonymous
A table saw blade, with diameter of 10.00 inches, rotates at about 3200 revolutions per minute. Find the linear speed of a point on the tip of the blade and express it to the nearest mile per hour. A) 71 mph B) 77 mph C) 83 mph D) 89 mph E) 95 mph
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
the length it travels in one turn is 10pi inches
amistre64
  • amistre64
3200(10pi) = 32000 pi inches per minute
amistre64
  • amistre64
how many inches in a mile?

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amistre64
  • amistre64
abt 5000 ft per mile; little more actually 5000*12 = how many inches in a mile
amistre64
  • amistre64
72000 inches per mile; 72000 ------- = 72/32pi 32000pi
amistre64
  • amistre64
a little more than that; but find the actual conversion of inches to miles to get an exact result
amistre64
  • amistre64
63360 inches per mile -------------------- = ? 32000pi inches
anonymous
  • anonymous
My conversion looked like this s = 3200 * 2pi * 10 inches t= 1 minute 5280 inches 1 mile --------- = ------- 60 min 1 hour but idk how to do the conversion completely!
amistre64
  • amistre64
3200 * 2pi5 = 32000pi in / min right?
amistre64
  • amistre64
63360 inches in one mile ------- 32000pi = 0.63 * 60 minutes i get 37.7 mph
amistre64
  • amistre64
which aint an option :)
anonymous
  • anonymous
Ahhhhh Im so confused!
amistre64
  • amistre64
32000pi is right; 5280*12 = inches per mile
amistre64
  • amistre64
63360 per mile is right.. 32000pi -------- 63360 maybe?
amistre64
  • amistre64
that gets me 95 mph :) and thats an option
anonymous
  • anonymous
My calc was in degrees and not radians, DOY! thank you!
amistre64
  • amistre64
rad vs deg will tend to mess it up lol

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