Question

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

Answer 1

the length it travels in one turn is 10pi inches

Answer 2

3200(10pi) = 32000 pi inches per minute

Answer 3

how many inches in a mile?

Answer 4

abt 5000 ft per mile; little more actually

5000*12 = how many inches in a mile

Answer 5

72000 inches per mile;

72000
------- = 72/32pi
32000pi

Answer 6

a little more than that; but find the actual conversion of inches to miles to get an exact result

Answer 7

63360 inches per mile
-------------------- = ?
32000pi inches

Answer 8

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!

Answer 9

3200 * 2pi5 = 32000pi in / min right?

Answer 10

63360 inches in one mile
-------
32000pi = 0.63 * 60 minutes

i get 37.7 mph

Answer 11

which aint an option :)

Answer 12

Ahhhhh Im so confused!

Answer 13

32000pi is right; 5280*12 = inches per mile

Answer 14

63360 per mile is right..

32000pi
--------
63360 maybe?

Answer 15

that gets me 95 mph :) and thats an option

Answer 16

My calc was in degrees and not radians, DOY! thank you!

Answer 17

rad vs deg will tend to mess it up lol