Diameter of workpiece given feed and machine infeed speed Calculator

✖Workpiece removal parameter per unit time is the ratio of the volume of workpiece removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time.ⓘ Workpiece Removal Parameter per Unit Time [Λ_W]			+10% -10%
✖Diameter of Grinding Tool Wheel is the size of the wheel, typically measured in inches or millimeters, that is used in a grinding operation.ⓘ Diameter of Grinding Tool Wheel [d_t]			+10% -10%
✖Machine Infeed Speed is the rate at which the wheel is moving towards the workpiece.ⓘ Machine Infeed Speed [V_if]			+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%
✖Wheel Removal Parameter per Unit Time is the ratio of the volume of wheel removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time.ⓘ Wheel Removal Parameter per Unit Time [Λ_T]			+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 feed and machine infeed speed [d_wp]

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Formula

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Diameter of workpiece given feed and machine infeed speed

Formula

`"d"_{"wp"} = "Λ"_{"W"}*"d"_{"t"}*(("V"_{"if"}/"V"_{"f"})-1)/"Λ"_{"T"}`

Example

`"102.8216mm"="2.45"*"12mm"*(("33mm/s"/"3.5mm/s")-1)/"2.41"`

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Diameter of workpiece given feed and machine infeed speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
d_wp = Λ_W*d_t*((V_if/V_f)-1)/Λ_T
This formula uses 6 Variables

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.
Workpiece Removal Parameter per Unit Time - Workpiece removal parameter per unit time is the ratio of the volume of workpiece removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time.
Diameter of Grinding Tool Wheel - (Measured in Meter) - Diameter of Grinding Tool Wheel is the size of the wheel, typically measured in inches or millimeters, that is used in a grinding operation.
Machine Infeed Speed - (Measured in Meter per Second) - Machine Infeed Speed is the rate at which the wheel is moving towards the workpiece.
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.
Wheel Removal Parameter per Unit Time - Wheel Removal Parameter per Unit Time is the ratio of the volume of wheel removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time.

STEP 1: Convert Input(s) to Base Unit

Workpiece Removal Parameter per Unit Time: 2.45 --> No Conversion Required
Diameter of Grinding Tool Wheel: 12 Millimeter --> 0.012 Meter (Check conversion here)
Machine Infeed Speed: 33 Millimeter per Second --> 0.033 Meter per Second (Check conversion here)
Feed Speed: 3.5 Millimeter per Second --> 0.0035 Meter per Second (Check conversion here)
Wheel Removal Parameter per Unit Time: 2.41 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_wp = Λ_W*d_t*((V_if/V_f)-1)/Λ_T --> 2.45*0.012*((0.033/0.0035)-1)/2.41

Evaluating ... ...

d_wp = 0.102821576763485

STEP 3: Convert Result to Output's Unit

0.102821576763485 Meter -->102.821576763485 Millimeter (Check conversion here)

FINAL ANSWER

102.821576763485 ≈ 102.8216 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)/Wheel Removal Parameter per Unit Time

Surface speed of workpiece given constant for grinding wheel

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))

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*Surface Speed of Workpiece in Grinding*The Width of Grinding Path/(Number of Workpiece Revolution*Effective Stiffness)

Workpiece surface speed given number of workpiece revolutions

Go Surface Speed of Workpiece in Grinding = 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 = Number of Workpiece Revolution*Workpiece Removal Parameter per Unit Time*Effective Stiffness/(2*Surface Speed of Workpiece in Grinding)

System stiffness given Number of workpiece revolution

Go Effective Stiffness = 2*Surface Speed of Workpiece in Grinding*The Width of Grinding Path/(Workpiece Removal Parameter per Unit Time*Number of Workpiece Revolution)

Number of workpiece revolution

Go Number of Workpiece Revolution = 2*Surface Speed of Workpiece in Grinding*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 Surface Speed of Workpiece in Grinding = 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 = (1.33*Wheel Hardness Number)+(2.2*Wheel Structure Number)-8

Number of workpiece revolutions given Time taken for spark out operation

Go Number of Workpiece Revolution = Time Taken for Spark-Out Operation*Rotational Frequency

Rotational frequency of workpiece given Number of workpiece revolution

Go Rotational Frequency = Number of Workpiece Revolution/Time Taken for Spark-Out Operation

Proportion of Total Energy flowing into workpiece

Go Proportion of Total Energy Flow = (0.6+0.05*Relative Contact Area of Grain)*100

Diameter of workpiece given feed and machine infeed speed Formula

What is the difference between cutting wheel and grinding wheel?

Cutting-off wheels are thin by design and do not have adequate lateral strength for side grinding. The fiberglass reinforcement is in the wheel to add strength. ... Regardless of what type of grinding wheel you are using, grinding must only be performed on the surface of the wheel for which it is designed.

How to Calculate Diameter of workpiece given feed and machine infeed speed?

Diameter of workpiece given feed and machine infeed speed calculator uses 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 to calculate the Grinding Workpiece Diameter, The diameter of workpiece given feed and machine infeed speed is defined as the width of the material being machined. It's influenced by the size of the cutting tool and the speed at which the material is fed into it. Grinding Workpiece Diameter is denoted by d_wp symbol.

How to calculate Diameter of workpiece given feed and machine infeed speed using this online calculator? To use this online calculator for Diameter of workpiece given feed and machine infeed speed, enter Workpiece Removal Parameter per Unit Time (Λ_W), Diameter of Grinding Tool Wheel (d_t), Machine Infeed Speed (V_if), Feed Speed (V_f) & Wheel Removal Parameter per Unit Time (Λ_T) and hit the calculate button. Here is how the Diameter of workpiece given feed and machine infeed speed calculation can be explained with given input values -> 102821.6 = 2.45*0.012*((0.033/0.0035)-1)/2.41.

FAQ

What is Diameter of workpiece given feed and machine infeed speed?

The diameter of workpiece given feed and machine infeed speed is defined as the width of the material being machined. It's influenced by the size of the cutting tool and the speed at which the material is fed into it and is represented as d_wp = Λ_W*d_t*((V_if/V_f)-1)/Λ_T or 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. Workpiece removal parameter per unit time is the ratio of the volume of workpiece removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time, Diameter of Grinding Tool Wheel is the size of the wheel, typically measured in inches or millimeters, that is used in a grinding operation, Machine Infeed Speed is the rate at which the wheel is moving towards the workpiece, 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 & Wheel Removal Parameter per Unit Time is the ratio of the volume of wheel removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time.

How to calculate Diameter of workpiece given feed and machine infeed speed?

The diameter of workpiece given feed and machine infeed speed is defined as the width of the material being machined. It's influenced by the size of the cutting tool and the speed at which the material is fed into it is calculated using 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. To calculate Diameter of workpiece given feed and machine infeed speed, you need Workpiece Removal Parameter per Unit Time (Λ_W), Diameter of Grinding Tool Wheel (d_t), Machine Infeed Speed (V_if), Feed Speed (V_f) & Wheel Removal Parameter per Unit Time (Λ_T). With our tool, you need to enter the respective value for Workpiece Removal Parameter per Unit Time, Diameter of Grinding Tool Wheel, Machine Infeed Speed, Feed Speed & Wheel Removal Parameter per Unit Time 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 Workpiece Removal Parameter per Unit Time, Diameter of Grinding Tool Wheel, Machine Infeed Speed, Feed Speed & Wheel Removal Parameter per Unit Time. We can use 2 other way(s) to calculate the same, which is/are as follows -

Grinding Workpiece Diameter = Metal Removal Rate (MRR)/(Feed Speed*pi*The Width of Grinding Path)
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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