Cutting Speed given Spindle Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Velocity = pi*Workpiece Diameter*Spindle Speed
V = pi*D*N
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Cutting Velocity - (Measured in Meter per Second) - Cutting velocity, cutting speed, it is the speed at which the cutting tool engages the workpiece material, directly impacting the efficiency, quality, and economics of the machining process.
Workpiece Diameter - (Measured in Meter) - Workpiece Diameter is the width of workpiece used in machining.
Spindle Speed - (Measured in Radian per Second) - Spindle Speed is the speed of machine tool spindle given in revolutions per minute.
STEP 1: Convert Input(s) to Base Unit
Workpiece Diameter: 0.01014 Meter --> 0.01014 Meter No Conversion Required
Spindle Speed: 600 Revolution per Minute --> 62.8318530685963 Radian per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = pi*D*N --> pi*0.01014*62.8318530685963
Evaluating ... ...
V = 2.001555772439
STEP 3: Convert Result to Output's Unit
2.001555772439 Meter per Second --> No Conversion Required
FINAL ANSWER
2.001555772439 2.001556 Meter per Second <-- Cutting Velocity
(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Mechanics of Orthogonal Cutting Calculators

Machining Time given Cutting Speed
​ LaTeX ​ Go Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity)
Machining Time given Spindle Speed
​ LaTeX ​ Go Machining Time = Length of Bar/(Feed Rate*Spindle Speed)
Cutting Speed given Spindle Speed
​ LaTeX ​ Go Cutting Velocity = pi*Workpiece Diameter*Spindle Speed
Surface Finish Constraint
​ LaTeX ​ Go Feed Constraint = 0.0321/Nose Radius

Cutting Speed given Spindle Speed Formula

​LaTeX ​Go
Cutting Velocity = pi*Workpiece Diameter*Spindle Speed
V = pi*D*N

What are the various cost associated with machining ?

The various costs associated with machining process are:
(i) the manpower cost, Cl which is measured in per unit time, generally hours that operator is employed
(ii) the machine tool operating (overhead) cost, Cm which includes machine depreciation, and other costs associated with the running of the machine tool such as power con summed, maintenance overheads, consumables such as oils, etc. This may also include the other overhead costs, which takes care of all the fixed overheads such as buildings, land and administrative overheads.
(iii) the job handling cost, which arises because of the time spent in loading and unloading of the job, during which time the machine tool is kept idle, and also requires the operator to attend to the job. It is also possible that some special equipment such as crane, etc. may be used for heavy jobs.
(iv) the tool cost, Ct which is the cost of the cutting tool for the given operation.

How to Calculate Cutting Speed given Spindle Speed?

Cutting Speed given Spindle Speed calculator uses Cutting Velocity = pi*Workpiece Diameter*Spindle Speed to calculate the Cutting Velocity, Cutting Speed given Spindle Speed is defined as the speed with which the cutting tool cuts the workpiece expressed in m/min. Cutting Velocity is denoted by V symbol.

How to calculate Cutting Speed given Spindle Speed using this online calculator? To use this online calculator for Cutting Speed given Spindle Speed, enter Workpiece Diameter (D) & Spindle Speed (N) and hit the calculate button. Here is how the Cutting Speed given Spindle Speed calculation can be explained with given input values -> 7205.601 = pi*0.01014*62.8318530685963.

FAQ

What is Cutting Speed given Spindle Speed?
Cutting Speed given Spindle Speed is defined as the speed with which the cutting tool cuts the workpiece expressed in m/min and is represented as V = pi*D*N or Cutting Velocity = pi*Workpiece Diameter*Spindle Speed. Workpiece Diameter is the width of workpiece used in machining & Spindle Speed is the speed of machine tool spindle given in revolutions per minute.
How to calculate Cutting Speed given Spindle Speed?
Cutting Speed given Spindle Speed is defined as the speed with which the cutting tool cuts the workpiece expressed in m/min is calculated using Cutting Velocity = pi*Workpiece Diameter*Spindle Speed. To calculate Cutting Speed given Spindle Speed, you need Workpiece Diameter (D) & Spindle Speed (N). With our tool, you need to enter the respective value for Workpiece Diameter & Spindle 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 Velocity?
In this formula, Cutting Velocity uses Workpiece Diameter & Spindle Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Cutting Velocity = ((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Area^0.22))^(100/44)
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