Cutting Speed given Angular Speed Calculator

Calculate Cutting Speed





Formula

The formula to calculate Cutting Speed (Vcutting) is:

\[ Vcutting = \pi \cdot d \cdot \omega \]

Definition

Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute). Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. Angular speed is defined as the rate of change of angular displacement.

Example Calculation

Let's assume the following values:

Using the formula:

\[ Vcutting = \pi \cdot 11.502 \cdot 41.9088459967537 \approx 1514.35933213942 \]

The Cutting Speed is approximately 1514.35933213942 Meter per Second.

Conversion Chart

Diameter (Meter) Angular Speed (Radian per Second) Cutting Speed (Meter per Second)
11 41.908845996754 1,448.265749742101661
11.1 41.908845996754 1,461.431802012484468
11.2 41.908845996754 1,474.597854282867274
11.3 41.908845996754 1,487.763906553249626
11.4 41.908845996754 1,500.929958823632433
11.5 41.908845996754 1,514.096011094015012
11.6 41.908845996754 1,527.262063364397818
11.7 41.908845996754 1,540.428115634780625
11.8 41.908845996754 1,553.594167905163204
11.9 41.908845996754 1,566.760220175546010
12 41.908845996754 1,579.926272445928589