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 9 inch diameter blade.

Solution

Rotates at ----3350 rev/minute

1 revolution = 2pi ( radians)

Angular velocity = 3350*2pi =21048.67 radians / minute

Linear velocity = Angular velocity x radius

= 21048.67 x (9/2)

=94719.0185 inch/minute

Convert into miles/hr : 1 inch/minute = 0.00094697 miles/hr

So, linear velocity = 94719.0185 x 0.00094697 miles/hr = 89.69 miles/hour ( Solution)