# Angular Velocity Calculation of Circular Saw Blade

## What is the angular velocity of the circular saw blade in radians per second?

## Answer:

The angular velocity of the circular saw blade is 900 radians per second. This can be calculated by converting the rotational speed from rpm to radians per second.

## Angular Velocity Calculation:

The angular velocity of a rotating object is a measure of how quickly it is rotating around a fixed point. In this case, the blade of the circular saw is rotating at a speed of 5,400 rpm (revolutions per minute).

To calculate the angular velocity in radians per second, we need to convert the rpm to radians per minute and then to radians per second. This conversion involves the use of the formula:

**Angular velocity (in radians per second) = (Rotations per minute × 2π) / 60**

Substitute the given value into the formula:

(5,400 rpm × 2π) / 60 = 900 radians per second

Therefore, the angular velocity of the circular saw blade is 900 radians per second. This calculation helps in understanding the speed at which the blade is rotating and is crucial for various applications involving circular saws.