The blade on a typical table saw rotates at 3100 revolutions

The blade on a typical table saw rotates at 3100 revolutions per minute. Calculate the linear velocity in miles per hour of one of the teeth at the edge of the 15 inch diameter blade.

Solution

1 minute ---31000 revolutions

Angular velocity = 3100*2pi rad/minute =

Linear velocity = r(3100*2pi)

= (15/2)*(3100*2pi)

=146084.058  inch per minute

Now 1 inch/min = 0.00094697 miles/hr

So,Linear velocity in miles/hr =146084.058*0.00094697 = 138.337 miles/hr