Machining Time for Workpiece given Roughness Calculator

✖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%
✖Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second.ⓘ Rotational Frequency of Spindle [n_s]			+10% -10%
✖The Corner radius of tool is a measurement describing the curve on the corners of your labels.ⓘ The Corner radius of tool [r_E]			+10% -10%
✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R_a]			+10% -10%

✖Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.ⓘ Machining Time for Workpiece given Roughness [t_m]

⎘ Copy

👎

Formula

✖

Machining Time for Workpiece given Roughness

Formula

`"t"_{"m"} = 0.18*"L"/("n"_{"s"}*(("r"_{"E"}*"R"_{"a"})^0.5))`

Example

`"0.749993min"=0.18*"400mm"/("10Hz"*(("1.5mm"*"0.017067mm")^0.5))`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Machining Time for Workpiece given Roughness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Machining Time = 0.18*Length of Workpiece/(Rotational Frequency of Spindle*((The Corner radius of tool*Roughness Value)^0.5))
t_m = 0.18*L/(n_s*((r_E*R_a)^0.5))
This formula uses 5 Variables

Variables Used

Machining Time - (Measured in Second) - Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.
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.
Rotational Frequency of Spindle - (Measured in Hertz) - Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second.
The Corner radius of tool - (Measured in Meter) - The Corner radius of tool is a measurement describing the curve on the corners of your labels.
Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

STEP 1: Convert Input(s) to Base Unit

Length of Workpiece: 400 Millimeter --> 0.4 Meter (Check conversion here)
Rotational Frequency of Spindle: 10 Hertz --> 10 Hertz No Conversion Required
The Corner radius of tool: 1.5 Millimeter --> 0.0015 Meter (Check conversion here)
Roughness Value: 0.017067 Millimeter --> 1.7067E-05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_m = 0.18*L/(n_s*((r_E*R_a)^0.5)) --> 0.18*0.4/(10*((0.0015*1.7067E-05)^0.5))

Evaluating ... ...

t_m = 44.9995605533122

STEP 3: Convert Result to Output's Unit

44.9995605533122 Second -->0.749992675888536 Minute (Check conversion here)

FINAL ANSWER

0.749992675888536 ≈ 0.749993 Minute <-- Machining Time

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Design for Machining » Accuracy and Surface Finish » Machining Time for Workpiece given Roughness

Credits

Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 9 Accuracy and Surface Finish Calculators

Rotational Frequency of Workpiece given Roughness

Go Rotational Frequency of Spindle = 0.18*Length of Workpiece/(Machining Time*((The Corner radius of tool*Roughness Value)^0.5))

Machining Time for Workpiece given Roughness

Go Machining Time = 0.18*Length of Workpiece/(Rotational Frequency of Spindle*((The Corner radius of tool*Roughness Value)^0.5))

Surface Roughness of Workpiece given Machining Time

Go Roughness Value = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/The Corner radius of tool

Corner Radius of Tool given Machining Time

Go The Corner radius of tool = ((0.18*Length of Workpiece/(Rotational Frequency of Spindle*Machining Time))^2)/Roughness Value

Length of Workpiece given Roughness

Go Length of Workpiece = Machining Time*Rotational Frequency of Spindle*((The Corner radius of tool*Roughness Value)^0.5)/0.18

Machining Time for Workpiece given Machining Conditions

Go Machining Time = Length of Workpiece/(Feed*Rotational Frequency of Spindle)

Rotational Frequency of Workpiece given Machining Time

Go Rotational Frequency of Spindle = Length of Workpiece/(Machining Time*Feed)

Feed to Workpiece given Machining Time

Go Feed = Length of Workpiece/(Machining Time*Rotational Frequency of Spindle)

Length of Workpiece given Machining Time

Go Length of Workpiece = Machining Time*Feed*Rotational Frequency of Spindle

Machining Time for Workpiece given Roughness Formula

Machining Time = 0.18*Length of Workpiece/(Rotational Frequency of Spindle*((The Corner radius of tool*Roughness Value)^0.5))
t_m = 0.18*L/(n_s*((r_E*R_a)^0.5))

Ideal Capacity of a Machine Tool

The desired characteristics of a Machine Toole are:
1. Powerful and high Strength
2. Rigid and Stable
3. Tools allows much higher Cutting Velocity, if required and permissible
4. Low wear

How to Calculate Machining Time for Workpiece given Roughness?

Machining Time for Workpiece given Roughness calculator uses Machining Time = 0.18*Length of Workpiece/(Rotational Frequency of Spindle*((The Corner radius of tool*Roughness Value)^0.5)) to calculate the Machining Time, The Machining Time for Workpiece given Roughness is a method to measure the maximum time that can be allowed for machining on a single component when the required value for Surface Roughness is known. Machining Time is denoted by t_m symbol.

How to calculate Machining Time for Workpiece given Roughness using this online calculator? To use this online calculator for Machining Time for Workpiece given Roughness, enter Length of Workpiece (L), Rotational Frequency of Spindle (n_s), The Corner radius of tool (r_E) & Roughness Value (R_a) and hit the calculate button. Here is how the Machining Time for Workpiece given Roughness calculation can be explained with given input values -> 0.012524 = 0.18*0.4/(10*((0.0015*1.7067E-05)^0.5)).

FAQ

What is Machining Time for Workpiece given Roughness?

The Machining Time for Workpiece given Roughness is a method to measure the maximum time that can be allowed for machining on a single component when the required value for Surface Roughness is known and is represented as t_m = 0.18*L/(n_s*((r_E*R_a)^0.5)) or Machining Time = 0.18*Length of Workpiece/(Rotational Frequency of Spindle*((The Corner radius of tool*Roughness Value)^0.5)). Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut, Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second, The Corner radius of tool is a measurement describing the curve on the corners of your labels & Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

How to calculate Machining Time for Workpiece given Roughness?

The Machining Time for Workpiece given Roughness is a method to measure the maximum time that can be allowed for machining on a single component when the required value for Surface Roughness is known is calculated using Machining Time = 0.18*Length of Workpiece/(Rotational Frequency of Spindle*((The Corner radius of tool*Roughness Value)^0.5)). To calculate Machining Time for Workpiece given Roughness, you need Length of Workpiece (L), Rotational Frequency of Spindle (n_s), The Corner radius of tool (r_E) & Roughness Value (R_a). With our tool, you need to enter the respective value for Length of Workpiece, Rotational Frequency of Spindle, The Corner radius of tool & Roughness Value 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 Length of Workpiece, Rotational Frequency of Spindle, The Corner radius of tool & Roughness Value. We can use 1 other way(s) to calculate the same, which is/are as follows -

Machining Time = Length of Workpiece/(Feed*Rotational Frequency of Spindle)

Home

FREE PDFs

🔍 Search