Cutting Speed given Angular Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Speed = pi*Diameter*Angular Speed
Vcutting = pi*d*ω
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Cutting Speed - (Measured in Meter per Second) - Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).
Diameter - (Measured in Meter) - 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 - (Measured in Radian per Second) - Angular speed is defined as the rate of change of angular displacement.
STEP 1: Convert Input(s) to Base Unit
Diameter: 11502 Millimeter --> 11.502 Meter (Check conversion here)
Angular Speed: 6.67 Revolution per Second --> 41.9088459967537 Radian per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vcutting = pi*d*ω --> pi*11.502*41.9088459967537
Evaluating ... ...
Vcutting = 1514.35933213942
STEP 3: Convert Result to Output's Unit
1514.35933213942 Meter per Second --> No Conversion Required
FINAL ANSWER
1514.35933213942 1514.359 Meter per Second <-- Cutting Speed
(Calculation completed in 00.004 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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Specific Power Consumption
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Cutting Speed given Angular Speed
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Cutting Speed given Angular Speed Formula

Cutting Speed = pi*Diameter*Angular Speed
Vcutting = pi*d*ω

What is importance of Cutting speed?

Cutting speed and feed determines the surface finish, power requirements, and material removal rate.

How to Calculate Cutting Speed given Angular Speed?

Cutting Speed given Angular Speed calculator uses Cutting Speed = pi*Diameter*Angular Speed to calculate the Cutting Speed, Cutting Speed given Angular Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute). Cutting Speed is denoted by Vcutting symbol.

How to calculate Cutting Speed given Angular Speed using this online calculator? To use this online calculator for Cutting Speed given Angular Speed, enter Diameter (d) & Angular Speed (ω) and hit the calculate button. Here is how the Cutting Speed given Angular Speed calculation can be explained with given input values -> 1514.359 = pi*11.502*41.9088459967537.

FAQ

What is Cutting Speed given Angular Speed?
Cutting Speed given Angular Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute) and is represented as Vcutting = pi*d*ω or Cutting Speed = pi*Diameter*Angular Speed. 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.
How to calculate Cutting Speed given Angular Speed?
Cutting Speed given Angular Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute) is calculated using Cutting Speed = pi*Diameter*Angular Speed. To calculate Cutting Speed given Angular Speed, you need Diameter (d) & Angular Speed (ω). With our tool, you need to enter the respective value for Diameter & Angular Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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