SOLUTION: The blade on a typical table saw rotates at 3100 revolutions per minute. What is the difference in linear velocity in miles per hour of a point on the edge of the ​13-inch diame

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Question 1162921: The blade on a typical table saw rotates at 3100 revolutions per minute. What is the difference in linear velocity in miles per hour of a point on the edge of the ​13-inch diameter blade and a 8​-inch diameter​ blade?
Found 2 solutions by josgarithmetic, math_helper:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Any wheel radius d%2F2 using d for diameter;

One revolution %282%2Api%29%28d%2F2%29inches----------------not supposed to look like exponent; it is a factor;
Or, pi%2Adinches.


For 3100 revolutions per minute, the linear speed in MILES per HOUR

-- best to simplify that --
and you can find the difference between diameter 13 inch and diameter 8 inches, the the speed.

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+v+=+r+%2A+w+

w = angular velocity in rad/sec
r = radius of saw blade

To get you started...
3100 rpm = (3100 rotations/60 sec)*2pi+ rad/rotation = 324.63 rad/sec

Next, for each blade: compute r, then compute v, then convert to MPH...