Machining Time given Cutting Speed Calculator

✖Workpiece Diameter is the width of workpiece used in machining.ⓘ Workpiece Diameter [D]			+10% -10%
✖length of bar refers to the overall length of the workpiece that is being machined.ⓘ Length of Bar [L]			+10% -10%
✖Feed rate refers to the distance that the cutting tool advances into the workpiece per unit of time or per revolution of the workpiece.ⓘ Feed Rate [f]			+10% -10%
✖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.ⓘ Cutting Velocity [V]			+10% -10%

✖Machining time is the total time required to remove material from a workpiece to achieve the desired dimensions and surface finish.ⓘ Machining Time given Cutting Speed [t]

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Formula

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Machining Time given Cutting Speed

Formula

`"t" = (pi*"D"*"L")/("f"*"V")`

Example

`"1.137705s"=(pi*"0.01014m"*"3m")/("0.70mm/rev"*"120m/s")`

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Machining Time given Cutting Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity)
t = (pi*D*L)/(f*V)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Machining Time - (Measured in Second) - Machining time is the total time required to remove material from a workpiece to achieve the desired dimensions and surface finish.
Workpiece Diameter - (Measured in Meter) - Workpiece Diameter is the width of workpiece used in machining.
Length of Bar - (Measured in Meter) - length of bar refers to the overall length of the workpiece that is being machined.
Feed Rate - (Measured in Meter Per Revolution) - Feed rate refers to the distance that the cutting tool advances into the workpiece per unit of time or per revolution of the workpiece.
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.

STEP 1: Convert Input(s) to Base Unit

Workpiece Diameter: 0.01014 Meter --> 0.01014 Meter No Conversion Required
Length of Bar: 3 Meter --> 3 Meter No Conversion Required
Feed Rate: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion here)
Cutting Velocity: 120 Meter per Second --> 120 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (pi*D*L)/(f*V) --> (pi*0.01014*3)/(0.0007*120)

Evaluating ... ...

t = 1.13770533955002

STEP 3: Convert Result to Output's Unit

1.13770533955002 Second --> No Conversion Required

FINAL ANSWER

1.13770533955002 ≈ 1.137705 Second <-- Machining Time

(Calculation completed in 00.004 seconds)

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

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< 10+ Mechanics of Orthogonal Cutting Calculators

Thermal Conductivity of Work from Tool Temperature

Go Thermal Conductivity = ((Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44*Cutting Area^0.22)/(Tool Temperature*Specific Heat Capacity^0.56))^(100/44)

Specific Heat of Work from Tool Temperature

Go Specific Heat Capacity = ((Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44*Cutting Area^0.22)/(Tool Temperature*Thermal Conductivity^0.44))^(100/56)

Cutting Speed from Tool Temperature

Go 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)

Area of Cut from Tool Temperature

Go Cutting Area = ((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44))^(100/22)

Specific Cutting Energy Per Unit Cutting Force from Tool Temperature

Go Specific Cutting Energy = (Tool Temperature*Specific Heat Capacity^0.56*Thermal Conductivity^0.44)/(Tool Temperature Constant*Cutting Velocity^0.44*Cutting Area^0.22)

Machining Time given Cutting Speed

Go Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity)

Machining Time given Spindle Speed

Go Machining Time = Length of Bar/(Feed Rate*Spindle Speed)

Cutting Speed given Spindle Speed

Go Cutting Velocity = pi*Workpiece Diameter*Spindle Speed

Nose Radius of Tool from Surface Finish Constraint

Go Nose Radius = 0.0321/Feed Constraint

Surface Finish Constraint

Go Feed Constraint = 0.0321/Nose Radius

Machining Time given Cutting Speed Formula

Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity)
t = (pi*D*L)/(f*V)

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 Machining Time given Cutting Speed?

Machining Time given Cutting Speed calculator uses Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity) to calculate the Machining Time, Machining Time given Cutting Speed is defined as the time required to complete a particular machining operation. Machining Time is denoted by t symbol.

How to calculate Machining Time given Cutting Speed using this online calculator? To use this online calculator for Machining Time given Cutting Speed, enter Workpiece Diameter (D), Length of Bar (L), Feed Rate (f) & Cutting Velocity (V) and hit the calculate button. Here is how the Machining Time given Cutting Speed calculation can be explained with given input values -> 1.137705 = (pi*0.01014*3)/(0.0007*120).

FAQ

What is Machining Time given Cutting Speed?

Machining Time given Cutting Speed is defined as the time required to complete a particular machining operation and is represented as t = (pi*D*L)/(f*V) or Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity). Workpiece Diameter is the width of workpiece used in machining, length of bar refers to the overall length of the workpiece that is being machined, Feed rate refers to the distance that the cutting tool advances into the workpiece per unit of time or per revolution of the workpiece & 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.

How to calculate Machining Time given Cutting Speed?

Machining Time given Cutting Speed is defined as the time required to complete a particular machining operation is calculated using Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity). To calculate Machining Time given Cutting Speed, you need Workpiece Diameter (D), Length of Bar (L), Feed Rate (f) & Cutting Velocity (V). With our tool, you need to enter the respective value for Workpiece Diameter, Length of Bar, Feed Rate & Cutting Velocity 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 Machining Time?

In this formula, Machining Time uses Workpiece Diameter, Length of Bar, Feed Rate & Cutting Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Machining Time = Length of Bar/(Feed Rate*Spindle Speed)

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