A radial saw has a blade with a 9-in. radius. Suppose that the blade spins at 800 rpm.
(a) Find the angular speed of the blade in rad/min.
(b) Find the linear speed of the sawteeth in ft/s.
There are 2 pi radians in each rotation
2 pi * 800 = radians/min
Circumference of blade is pi d
pi * 18 = pi * 2r inches
pi * 2r * 800 inches per min
60 seconds each minute
(pi * 2r * 800) / 60
12 inches per foot
(pi*2r*800) / (60*12) = ft / s