What is the linear velocity in miles per hour of the tip of a lawnmower blade spinning at 2700 revolutions per minute in a lawnmower that cuts a path that is 26 inches wide

The velocity is 0.06 miles per hour.

Step-by-step explanation:

Given : A lawnmower blade spinning at 2700 revolutions per minute in a lawnmower that cuts a path that is 26 inches wide.

To find : What is the linear velocity in miles per hour of the tip of a lawnmower blade?

Solution :

A lawnmower blade spinning at 2700 revolutions per minute.

i.e. the frequency of blade is f=2700 rpm

Converting minute into hour,

The frequency is 45 revolution per hour.

The angular velocity is

rad/hr.

The width of the path is the diameter of the circle centered at the midpoint of the blade,

Diameter = 26 inches

Radius = inches

Converting inches into miles,

Velocity is given by,

Therefore, The velocity is 0.06 miles per hour.