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anonymous

  • 5 years ago

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

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  1. amistre64
    • 5 years ago
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    the length it travels in one turn is 10pi inches

  2. amistre64
    • 5 years ago
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    3200(10pi) = 32000 pi inches per minute

  3. amistre64
    • 5 years ago
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    how many inches in a mile?

  4. amistre64
    • 5 years ago
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    abt 5000 ft per mile; little more actually 5000*12 = how many inches in a mile

  5. amistre64
    • 5 years ago
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    72000 inches per mile; 72000 ------- = 72/32pi 32000pi

  6. amistre64
    • 5 years ago
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    a little more than that; but find the actual conversion of inches to miles to get an exact result

  7. amistre64
    • 5 years ago
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    63360 inches per mile -------------------- = ? 32000pi inches

  8. anonymous
    • 5 years ago
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    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!

  9. amistre64
    • 5 years ago
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    3200 * 2pi5 = 32000pi in / min right?

  10. amistre64
    • 5 years ago
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    63360 inches in one mile ------- 32000pi = 0.63 * 60 minutes i get 37.7 mph

  11. amistre64
    • 5 years ago
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    which aint an option :)

  12. anonymous
    • 5 years ago
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    Ahhhhh Im so confused!

  13. amistre64
    • 5 years ago
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    32000pi is right; 5280*12 = inches per mile

  14. amistre64
    • 5 years ago
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    63360 per mile is right.. 32000pi -------- 63360 maybe?

  15. amistre64
    • 5 years ago
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    that gets me 95 mph :) and thats an option

  16. anonymous
    • 5 years ago
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    My calc was in degrees and not radians, DOY! thank you!

  17. amistre64
    • 5 years ago
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    rad vs deg will tend to mess it up lol

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