Diameter of workpiece given Metal removal rate Calculator

✖Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.ⓘ Metal removal rate (MRR) [Z_w]			+10% -10%
✖Feed Speed is the Feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+10% -10%
✖The Width of grinding path is defined as the width of the path of the grinding tool.ⓘ The Width of grinding path [a_p]			+10% -10%

✖Grinding Workpiece diameter is defined as the diameter of the workpiece which is undergoing grinding.ⓘ Diameter of workpiece given Metal removal rate [d_wp]

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Formula

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Diameter of workpiece given Metal removal rate

Formula

`"d"_{"wp"} = "Z"_{"w"}/("V"_{"f"}*pi*"a"_{"p"})`

Example

`"99.20445mm"="0.0012m³/s"/("3.5mm/s"*pi*"1100.1mm")`

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Diameter of workpiece given Metal removal rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Grinding Workpiece diameter = Metal removal rate (MRR)/(Feed Speed*pi*The Width of grinding path)
d_wp = Z_w/(V_f*pi*a_p)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Grinding Workpiece diameter - (Measured in Meter) - Grinding Workpiece diameter is defined as the diameter of the workpiece which is undergoing grinding.
Metal removal rate (MRR) - (Measured in Cubic Meter per Second) - Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
The Width of grinding path - (Measured in Meter) - The Width of grinding path is defined as the width of the path of the grinding tool.

STEP 1: Convert Input(s) to Base Unit

Metal removal rate (MRR): 0.0012 Cubic Meter per Second --> 0.0012 Cubic Meter per Second No Conversion Required
Feed Speed: 3.5 Millimeter per Second --> 0.0035 Meter per Second (Check conversion here)
The Width of grinding path: 1100.1 Millimeter --> 1.1001 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_wp = Z_w/(V_f*pi*a_p) --> 0.0012/(0.0035*pi*1.1001)

Evaluating ... ...

d_wp = 0.0992044524317397

STEP 3: Convert Result to Output's Unit

0.0992044524317397 Meter -->99.2044524317397 Millimeter (Check conversion here)

FINAL ANSWER

99.2044524317397 ≈ 99.20445 Millimeter <-- Grinding Workpiece diameter

(Calculation completed in 00.004 seconds)

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Credits

Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

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

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< 14 Workpiece Calculators

Diameter of workpiece given feed and machine infeed speed

Go Grinding Workpiece diameter = Workpiece removal parameter per unit time*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/The wheel removal parameter per unit time

Surface speed of workpiece given constant for grinding wheel

Go The Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface speed of wheel/(The Constant for particular grinding wheel*sqrt(The Feed))

Workpiece diameter given equivalent wheel diameter

Go Grinding Workpiece diameter = Equivalent Grinding Wheel diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Grinding Wheel diameter)

Workpiece removal parameter given number of workpiece revolution

Go Workpiece removal parameter per unit time = 2*The Surface Speed of Workpiece*The Width of grinding path/(The Number of Workpiece revolution*Effective stiffness)

Workpiece surface speed given number of workpiece revolutions

Go The Surface Speed of Workpiece = The Number of Workpiece revolution*Workpiece removal parameter per unit time*Effective stiffness/(2*The Width of grinding path)

Width of Grinding path given number of workpiece revolutions

Go The Width of grinding path = The Number of Workpiece revolution*Workpiece removal parameter per unit time*Effective stiffness/(2*The Surface Speed of Workpiece)

System stiffness given Number of workpiece revolution

Go Effective stiffness = 2*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*The Number of Workpiece revolution)

Number of workpiece revolution

Go The Number of Workpiece revolution = 2*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*Effective stiffness)

Diameter of workpiece given Metal removal rate

Go Grinding Workpiece diameter = Metal removal rate (MRR)/(Feed Speed*pi*The Width of grinding path)

Surface Speed of workpiece given Metal removal rate during grinding

Go The Surface Speed of Workpiece = Material removal rate (MRR)/(The Feed*The Width of grinding path)

Percentage Volume of Bond material in wheel of grinding

Go Percentage volume of bond material in grinding = (1.33*Wheel hardness number)+(2.2*Wheel structure number)-8

Number of workpiece revolutions given Time taken for spark out operation

Go The Number of Workpiece revolution = Time taken for spark-out operation*Rotational Frequency

Rotational frequency of workpiece given Number of workpiece revolution

Go Rotational Frequency = The Number of Workpiece revolution/Time taken for spark-out operation

Proportion of Total Energy flowing into workpiece

Go Proportion of total energy flowing into workpiece = (0.6+0.05*Relative Contact Area of Grain is the area)*100

Diameter of workpiece given Metal removal rate Formula

Grinding Workpiece diameter = Metal removal rate (MRR)/(Feed Speed*pi*The Width of grinding path)
d_wp = Z_w/(V_f*pi*a_p)

How can cutting force be reduced?

The method of reducing cutting forces is to step punch length. Punches or groups of punches progressively become shorter by about one stock material thickness. This will results in the distribution of force during the blanking or piercing action on the punches interns reducing in total force.

How to Calculate Diameter of workpiece given Metal removal rate?

Diameter of workpiece given Metal removal rate calculator uses Grinding Workpiece diameter = Metal removal rate (MRR)/(Feed Speed*pi*The Width of grinding path) to calculate the Grinding Workpiece diameter, The Diameter of workpiece given Metal removal rate formula is used to determine the diameter of the workpiece which is undergoing grinding. Grinding Workpiece diameter is denoted by d_wp symbol.

How to calculate Diameter of workpiece given Metal removal rate using this online calculator? To use this online calculator for Diameter of workpiece given Metal removal rate, enter Metal removal rate (MRR) (Z_w), Feed Speed (V_f) & The Width of grinding path (a_p) and hit the calculate button. Here is how the Diameter of workpiece given Metal removal rate calculation can be explained with given input values -> 99204.45 = 0.0012/(0.0035*pi*1.1001).

FAQ

What is Diameter of workpiece given Metal removal rate?

The Diameter of workpiece given Metal removal rate formula is used to determine the diameter of the workpiece which is undergoing grinding and is represented as d_wp = Z_w/(V_f*pi*a_p) or Grinding Workpiece diameter = Metal removal rate (MRR)/(Feed Speed*pi*The Width of grinding path). Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine, Feed Speed is the Feed given against a workpiece per unit time & The Width of grinding path is defined as the width of the path of the grinding tool.

How to calculate Diameter of workpiece given Metal removal rate?

The Diameter of workpiece given Metal removal rate formula is used to determine the diameter of the workpiece which is undergoing grinding is calculated using Grinding Workpiece diameter = Metal removal rate (MRR)/(Feed Speed*pi*The Width of grinding path). To calculate Diameter of workpiece given Metal removal rate, you need Metal removal rate (MRR) (Z_w), Feed Speed (V_f) & The Width of grinding path (a_p). With our tool, you need to enter the respective value for Metal removal rate (MRR), Feed Speed & The Width of grinding path 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 Grinding Workpiece diameter?

In this formula, Grinding Workpiece diameter uses Metal removal rate (MRR), Feed Speed & The Width of grinding path. We can use 2 other way(s) to calculate the same, which is/are as follows -

Grinding Workpiece diameter = Workpiece removal parameter per unit time*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/The wheel removal parameter per unit time
Grinding Workpiece diameter = Equivalent Grinding Wheel diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Grinding Wheel diameter)

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