Angular Speed Calculation of Circular Power Saw Blade

How do we calculate the angular speed of a circular power saw blade in radians per minute?

A 7.25-inch circular power saw blade rotates at 5200 revolutions per minute. Find the angular speed of the saw blade in radians per minute.

Calculation of Angular Speed in Radians per Minute

To calculate the angular speed of a circular power saw blade in radians per minute, we need to convert the given revolutions per minute to radians per minute.

When a circular power saw blade rotates at a certain rate in revolutions per minute, we can determine its angular speed in radians per minute by using the conversion factor between revolutions and radians.

Given that one revolution is equal to 2π radians, we can calculate the angular speed as follows:

Angular speed (in radians per minute) = Revolutions per minute × 2π radians per revolution

Using the provided data:

Angular speed = 5200 revolutions per minute × 2π radians per revolution

Angular speed = 10400π radians per minute

Therefore, the angular speed of the circular power saw blade in radians per minute is 10400π radians per minute.