What is the linear speed in miles per hour of the tip of a lawnmower blade spinning at 2300 revolutions per minute in a lawnmower that cuts a path that is 28 inches wide?

191.59 mile/hour is the linear speed of the tip of a lawnmower blade.

Step-by-step explanation:

v = linear speed

r = radius of circular path

= Angular speed

We have:

Revolution of blade in a minute = 2300

1 hour = 60 min

Revolution in 1 hour or 60 min = 2300 × 60 =138000 revolution per hour

Angular speed of blade =

Width or diameter of the blade = d = 28 cm

Radius of blade =

1 mile = 63360 inch

Linear speed of the blade: v

191.59 mile/hour is the linear speed of the tip of a lawnmower blade.

3000000000000000000000