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 rate at which the cutting tool or workpiece moves during a machining operation. It is typically measured in units of distance per minute.ⓘ Feed Speed [V_f]			+10% -10%
✖The Width of grinding path is defined as the width of material removed by the grinding wheel in a single pass over the workpiece.ⓘ The Width of Grinding Path [a_p]			+10% -10%

✖Grinding Workpiece Diameter is defined as the size of the workpiece being ground on a grinding machine that is undergoing grinding.ⓘ Diameter of workpiece given Metal removal rate [d_wp]

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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 size of the workpiece being ground on a grinding machine that 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 rate at which the cutting tool or workpiece moves during a machining operation. It is typically measured in units of distance per minute.
The Width of Grinding Path - (Measured in Meter) - The Width of grinding path is defined as the width of material removed by the grinding wheel in a single pass over the workpiece.

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 00.020 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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

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< Workpiece Calculators

Diameter of workpiece given feed and machine infeed speed

LaTeX Go Grinding Workpiece Diameter = Workpiece Removal Parameter per Unit Time*Diameter of Grinding Tool Wheel*((Machine Infeed Speed/Feed Speed)-1)/Wheel Removal Parameter per Unit Time

Surface speed of workpiece given constant for grinding wheel

LaTeX Go Surface Speed of Workpiece in Grinding = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel in Grinding/(Constant for Particular Grinding Wheel*sqrt(The Feed))

Diameter of workpiece given Metal removal rate

LaTeX 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

LaTeX Go Surface Speed of Workpiece in Grinding = Material Removal Rate (MRR)/(The Feed*The Width of Grinding Path)

Diameter of workpiece given Metal removal rate Formula

LaTeX Go

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, Diameter of workpiece given Metal removal rate is the diameter of the workpiece in a grinding cycle based on the metal removal rate, feed speed, and grinding path width. The workpiece diameter is determined by dividing the metal removal rate by the product of the feed speed, π (pi), and the grinding path width. 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?

Diameter of workpiece given Metal removal rate is the diameter of the workpiece in a grinding cycle based on the metal removal rate, feed speed, and grinding path width. The workpiece diameter is determined by dividing the metal removal rate by the product of the feed speed, π (pi), and the grinding path width 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 rate at which the cutting tool or workpiece moves during a machining operation. It is typically measured in units of distance per minute & The Width of grinding path is defined as the width of material removed by the grinding wheel in a single pass over the workpiece.

How to calculate Diameter of workpiece given Metal removal rate?

Diameter of workpiece given Metal removal rate is the diameter of the workpiece in a grinding cycle based on the metal removal rate, feed speed, and grinding path width. The workpiece diameter is determined by dividing the metal removal rate by the product of the feed speed, π (pi), and the grinding path width 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)/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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