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National Institute of Technology (NIT), Jamshedpur
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Cutting Speed when Angular Speed is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
cutting_speed = pi*Diameter*Angular Speed
Vcutting = pi*d*ω
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. (Measured in Meter)
Angular Speed - Angular speed is defined as the rate of change of angular displacement. (Measured in Revolution per Second)
STEP 1: Convert Input(s) to Base Unit
Diameter: 10 Meter --> 10 Meter No Conversion Required
Angular Speed: 5 Revolution per Second --> 31.4159265342981 Radian per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vcutting = pi*d*ω --> pi*10*31.4159265342981
Evaluating ... ...
Vcutting = 986.960440058676
STEP 3: Convert Result to Output's Unit
986.960440058676 Meter per Second -->194283.551191876 Foot per Minute (Check conversion here)
FINAL ANSWER
194283.551191876 Foot per Minute <-- Cutting Speed
(Calculation completed in 00.076 seconds)

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Cutting Speed when Angular Speed is Given 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 when Angular Speed is Given?

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

How to calculate Cutting Speed when Angular Speed is Given using this online calculator? To use this online calculator for Cutting Speed when Angular Speed is Given, enter Diameter (d) and Angular Speed (ω) and hit the calculate button. Here is how the Cutting Speed when Angular Speed is Given calculation can be explained with given input values -> 194283.6 = pi*10*31.4159265359.

FAQ

What is Cutting Speed when Angular Speed is Given?
Cutting Speed when Angular Speed is Given 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 and Angular speed is defined as the rate of change of angular displacement.
How to calculate Cutting Speed when Angular Speed is Given?
Cutting Speed when Angular Speed is Given 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 when Angular Speed is Given, you need Diameter (d) and Angular Speed (ω). With our tool, you need to enter the respective value for Diameter and Angular Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Cutting Speed?
In this formula, Cutting Speed uses Diameter and Angular Speed. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • percentage_apf = Atomic Packing Factor*100
  • percent_void = 100-Atomic Packing Factor Percentage
  • gibbs_free_energy = Enthalpy-(Temperature*Entropy)
  • solidification_time = Solidification Time Per Unit Area*(Volume of Casting/Surface Area Of Casting)^2
  • freezing_ratio = (Surface Area Of Casting*Volume Riser)/(Surface Area Riser*Volume of Casting)
  • mass_removal_rate = Weight*Current Magnitude/(Valency*96500)
  • dilution = Area of Penetration/(Area of Penetration+Area of Reinforcement)
  • voltage = Constant Of The DC Machine*Arc Length
  • tolerance = (0.45*Diameter^(1/3))+(0.001*Diameter)
  • resistance_welding = Current Magnitude^2*Resistance*Time
Where is the Cutting Speed when Angular Speed is Given calculator used?
Among many, Cutting Speed when Angular Speed is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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