Diameter of Workpiece given Surface Generation rate Calculator

✖Machining Time for Minimum Cost is the time for processing when the workpiece is machined to obtain the minimum cost of Machining.ⓘ Machining Time for Minimum Cost [tm_c]			+10% -10%
✖Surface Generation Rate is defined as the constant for every material of the workpiece.ⓘ Surface Generation Rate [R_sg]			+10% -10%
✖Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut.ⓘ Length of Workpiece [L]			+10% -10%

✖The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.ⓘ Diameter of Workpiece given Surface Generation rate [d_w]

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Formula

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Diameter of Workpiece given Surface Generation rate

Formula

`"d"_{"w"} = ("tm"_{"c"}*"R"_{"sg"})/(pi*"L")`

Example

`"72.13018mm"=("53.13s"*"1083.33mm²/s")/(pi*"254mm")`

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Diameter of Workpiece given Surface Generation rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece)
d_w = (tm_c*R_sg)/(pi*L)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
Machining Time for Minimum Cost - (Measured in Second) - Machining Time for Minimum Cost is the time for processing when the workpiece is machined to obtain the minimum cost of Machining.
Surface Generation Rate - (Measured in Square Meter per Second) - Surface Generation Rate is defined as the constant for every material of the workpiece.
Length of Workpiece - (Measured in Meter) - Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut.

STEP 1: Convert Input(s) to Base Unit

Machining Time for Minimum Cost: 53.13 Second --> 53.13 Second No Conversion Required
Surface Generation Rate: 1083.33 Square Millimeter per Second --> 0.00108333 Square Meter per Second (Check conversion here)
Length of Workpiece: 254 Millimeter --> 0.254 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_w = (tm_c*R_sg)/(pi*L) --> (53.13*0.00108333)/(pi*0.254)

Evaluating ... ...

d_w = 0.0721301767769397

STEP 3: Convert Result to Output's Unit

0.0721301767769397 Meter -->72.1301767769397 Millimeter (Check conversion here)

FINAL ANSWER

72.1301767769397 ≈ 72.13018 Millimeter <-- Diameter of Workpiece

(Calculation completed in 00.020 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 19 Machining Time Calculators

Constant for machine type b given Machining time for maximum power

Go Constant For Tool Type(b) = 1-(ln(Density of Work Piece*Constant For Tool Type(a)*Machining Time For Maximum Power)-ln(Proportion of Initial Volume*Specific Cutting Energy in Machining))/ln(Initial Work Piece Weight)

Machining Time for optimum speed for Maximum Power given Machining Cost

Go Machining Time for Minimum Cost = Machining Time For Maximum Power*((((Machining and Operating Cost of Each Product/(Machining and Operating Rate*Machining Time For Maximum Power))-1)*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)^Taylor's Tool Life Exponent)

Tool Changing Time for 1 Tool given Machining Cost for Maximum Power

Go Time to Change One Tool = ((Tool Life*((Machining and Operating Cost of Each Product/Machining Time For Maximum Power)-Machining and Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of A Tool)/Machining and Operating Rate

Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost

Go Time Proportion of Cutting Edge Engagement = Tool Life*((Machining and Operating Cost of Each Product/Machining Time For Maximum Power)-Machining and Operating Rate)/(Machining and Operating Rate*Time to Change One Tool+Cost of A Tool)

Tool Life for Maximum Power delivery given Machining Cost for Maximum Power

Go Tool Life = Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of A Tool)/((Machining and Operating Cost of Each Product/Machining Time For Maximum Power)-Machining and Operating Rate)

Machining Time for Maximum Power given Machining Cost

Go Machining Time For Maximum Power = Machining and Operating Cost of Each Product/(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of A Tool)/Tool Life))

Machining time for maximum power given Initial weight of workpiece

Go Machining Time For Maximum Power = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b)))/(Density of Work Piece*Constant For Tool Type(a))

Constant for machine type given Machining time for maximum power

Go Constant For Tool Type(a) = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b)))/(Density of Work Piece*Machining Time For Maximum Power)

Depth of cut given Machining time for maximum power

Go Depth of Cut = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Diameter of Workpiece)

Diameter of workpiece terms of Machining time for maximum power

Go Diameter of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut)

Length of Workpiece given Surface Generation rate

Go Length of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Diameter of Workpiece)

Specific cutting energy given Machining time for maximum power

Go Specific Cutting Energy in Machining = (Machining Time For Maximum Power*Power Available For Machining)/(Volume of Work Material Removed)

Power available for Machining given Machining time for maximum power

Go Power Available For Machining = (60*Volume of Work Material Removed*Specific Cutting Energy in Machining)/Machining Time For Maximum Power

Diameter of Workpiece given Surface Generation rate

Go Diameter of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece)

Volume of material to be removed given Machining time for maximum power

Go Volume of Work Material Removed = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining)

Machining time for maximum power in Turning

Go Machining Time For Maximum Power = (Volume of Work Material Removed*Specific Cutting Energy in Machining)/Power Available For Machining

Machining Time for Minimum Cost given Surface Generation rate

Go Machining Time for Minimum Cost = (Surface Area of Workpiece)/Surface Generation Rate

Surface Generation Rate

Go Surface Generation Rate = (Surface Area of Workpiece)/Machining Time for Minimum Cost

Machining time under Max power for free machining

Go Machining Time For Maximum Power = 49.9*Initial Work Piece Weight^0.47

Diameter of Workpiece given Surface Generation rate Formula

Diameter of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece)
d_w = (tm_c*R_sg)/(pi*L)

What are the 7 basic types of machine tools?

They retain the basic characteristics of their 19th- and early 20th-century ancestors and are still classed as one of the following: (1) turning machines (lathes and boring mills), (2) shapers and planers, (3) drilling machines, (4) milling machines, (5) grinding machines, (6) power saws, and (7) presses.

How to Calculate Diameter of Workpiece given Surface Generation rate?

Diameter of Workpiece given Surface Generation rate calculator uses Diameter of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece) to calculate the Diameter of Workpiece, The Diameter of Workpiece given Surface Generation rate is defined as the diameter of the workpiece which is undergoing machining operation. Diameter of Workpiece is denoted by d_w symbol.

How to calculate Diameter of Workpiece given Surface Generation rate using this online calculator? To use this online calculator for Diameter of Workpiece given Surface Generation rate, enter Machining Time for Minimum Cost (tm_c), Surface Generation Rate (R_sg) & Length of Workpiece (L) and hit the calculate button. Here is how the Diameter of Workpiece given Surface Generation rate calculation can be explained with given input values -> 72130.18 = (53.13*0.00108333)/(pi*0.254).

FAQ

What is Diameter of Workpiece given Surface Generation rate?

The Diameter of Workpiece given Surface Generation rate is defined as the diameter of the workpiece which is undergoing machining operation and is represented as d_w = (tm_c*R_sg)/(pi*L) or Diameter of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece). Machining Time for Minimum Cost is the time for processing when the workpiece is machined to obtain the minimum cost of Machining, Surface Generation Rate is defined as the constant for every material of the workpiece & Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut.

How to calculate Diameter of Workpiece given Surface Generation rate?

The Diameter of Workpiece given Surface Generation rate is defined as the diameter of the workpiece which is undergoing machining operation is calculated using Diameter of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece). To calculate Diameter of Workpiece given Surface Generation rate, you need Machining Time for Minimum Cost (tm_c), Surface Generation Rate (R_sg) & Length of Workpiece (L). With our tool, you need to enter the respective value for Machining Time for Minimum Cost, Surface Generation Rate & Length of Workpiece 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 Diameter of Workpiece?

In this formula, Diameter of Workpiece uses Machining Time for Minimum Cost, Surface Generation Rate & Length of Workpiece. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut)

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