The blade on a typical table saw rotates at 3350 revolutions

The blade on a typical table saw rotates at 3350 revolutions per minute. Calculate the linear velocity in miles per hour of one of the teeth at the edge of the 13 inch diameter blade

.The linear velocity is

?? miles per hour. (Round to the nearest tenth as needed.)

Solution

diameter of blade =13 inch

radius r=13/2 inch

saw rotates at 3350 revolutions per minute

=3350*60 rev/hr

=201000 rev/hr

distance travelled in 1 revolution = 2 r

=2 *13/2

=13 inches

linear velocity = =201000*13 inches/hr

linear velocity = =201000*13*(1/12) feet/hr

linear velocity = =201000*13*(1/12)*(1/5280) miles/hr

linear velocity = =129.6 miles/hr