What is the linear speed in miles per hour of the tip of a l

What is the linear speed in miles per hour of the tip of a lawnmower blade spinning at 2200 revolutions per minute in a lawnmower that cuts a path that is 18 inches wide?
miles per hour :
What is the angular speed in degrees per hour?
degrees per hour:

Solution

Soluion:

The angular velocity is

f = 2200rpm = (2200 rev/min)(60 min/hr) = 1.32x10⁵ rev/hr

= 2 f

= 8.2938x10⁵ rad/hr

The width of the path is the diameter of the circle centered at the midpoint of the blade, R = 18/2 inches

R = (9 in)(1/36 yard/1 in)

=(1/4 yard)(1mile/1760yards)

= 1.42x10^-4 mile

V = R

=8.2938x10⁵ rad/hr * 1.42x10^-4 mile

= 117.77 miles/hour