Question

The blade on a typical table saw rotates at 3300 revolutions per minute. calculate the linear velocity in miles per hour of one of the teeth at the edge of the 14 inch diameter blade.

Answer 1

C=d(pi)=43.98in. Tip travels 3300 x C = 145,134in per min. (145,134in/min)(1ft/12in)(1 mile/5280ft)(60min/1 hr) = 137.4mph. 

Answer 2

Answer:

Linear speed of the blade is 136.81 mph

Explanation:

It is given that,

Angular speed of the blade of table saw, $\omega=3300\ rev/min=345.57\ rad/s$

Diameter of the blade, d = 14 inch = 0.3556 m

Radius of the blade, r = 0.177 m

We need to find the linear velocity of the blade. The relation between linear velocity and the angular speed is :

$v=r\times \omega$

$v=0.177\times 345.57$

v = 61.16 m/s

Since, 1 m/s = 2.23 mph

So, v = 136.81 mph

Therefore, the linear velocity of the blade is 136.81 mph.