Cutting Speed given Angular Speed Calculator

✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [d]			+10% -10%
✖Angular speed is defined as the rate of change of angular displacement.ⓘ Angular Speed [ω]			+10% -10%

✖Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).ⓘ Cutting Speed given Angular Speed [V_cutting]

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Cutting Speed given Angular Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Speed = pi*Diameter*Angular Speed
V_cutting = 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

V_cutting = pi*d*ω --> pi*11.502*41.9088459967537

Evaluating ... ...

V_cutting = 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 00.006 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

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Cutting Speed given Angular Speed Formula

LaTeX Go

Cutting Speed = pi*Diameter*Angular Speed
V_cutting = 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 V_cutting 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 V_cutting = 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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