Diameter of workpiece given feed and machine infeed speed Calculator

✖Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.ⓘ Workpiece removal parameter [Λ_W]			+10% -10%
✖The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.ⓘ Diameter of Grinding Tool Wheel [d_t]			+10% -10%
✖Machine Infeed speed is the speed at which the wheel is moving towards the workpiece.ⓘ Machine Infeed speed [v_i]			+10% -10%
✖Feed Speed is the Feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+10% -10%
✖The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.ⓘ Wheel Removal Parameter [Λ_t]			+10% -10%

✖The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.ⓘ Diameter of workpiece given feed and machine infeed speed [d_workpiece]

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Formula

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Diameter of workpiece given feed and machine infeed speed

Formula

`"d"_{"workpiece"} = "Λ"_{"W"}*"d"_{"t"}*(("v"_{"i"}/"V"_{"f"})-1)/"Λ"_{"t"}`

Example

`"421.4286mm"="10"*"12mm"*(("33mm/s"/"3.5mm/s")-1)/"2.4"`

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Diameter of workpiece given feed and machine infeed speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Workpiece = Workpiece removal parameter*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/Wheel Removal Parameter
d_workpiece = Λ_W*d_t*((v_i/V_f)-1)/Λ_t
This formula uses 6 Variables

Variables Used

Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
Workpiece removal parameter - Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.
Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.
Machine Infeed speed - (Measured in Meter per Second) - Machine Infeed speed is the speed at which the wheel is moving towards the workpiece.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Wheel Removal Parameter - The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.

STEP 1: Convert Input(s) to Base Unit

Workpiece removal parameter: 10 --> 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: 2.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_workpiece = Λ_W*d_t*((v_i/V_f)-1)/Λ_t --> 10*0.012*((0.033/0.0035)-1)/2.4

Evaluating ... ...

d_workpiece = 0.421428571428571

STEP 3: Convert Result to Output's Unit

0.421428571428571 Meter -->421.428571428571 Millimeter (Check conversion here)

FINAL ANSWER

421.428571428571 ≈ 421.4286 Millimeter <-- Diameter of Workpiece

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Analysis of Grinding Process » Cylindrical Grinding cycle » Workpiece » Diameter of workpiece given feed and machine infeed speed

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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 Diameter of Workpiece = Workpiece removal parameter*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/Wheel Removal Parameter

Surface speed of workpiece given constant for grinding wheel

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

Workpiece diameter given equivalent wheel diameter

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

Workpiece removal parameter given number of workpiece revolution

Go Workpiece removal parameter = 2*Surface Speed of Workpiece*Width of Grinding Path/(Number of Workpiece revolution*Effective stiffness)

Workpiece surface speed given number of workpiece revolutions

Go Surface Speed of Workpiece = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Width of Grinding Path)

Width of Grinding path given number of workpiece revolutions

Go Width of Grinding Path = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Surface Speed of Workpiece)

System stiffness given Number of workpiece revolution

Go Effective stiffness = 2*Surface Speed of Workpiece*Width of Grinding Path/(Workpiece removal parameter*Number of Workpiece revolution)

Number of workpiece revolution

Go Number of Workpiece revolution = 2*Surface Speed of Workpiece*Width of Grinding Path/(Workpiece removal parameter*Effective stiffness)

Diameter of workpiece given Metal removal rate

Go Diameter of Workpiece = Metal removal rate/(Feed Speed*pi*Width of Grinding Path)

Surface Speed of workpiece given Metal removal rate during grinding

Go Surface Speed of Workpiece = Material Removal Rate/(Feed*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 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 flowing into workpiece = (0.6+0.05*Relative Contact Area of Grain)*100

Diameter of workpiece given feed and machine infeed speed Formula

Diameter of Workpiece = Workpiece removal parameter*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/Wheel Removal Parameter
d_workpiece = Λ_W*d_t*((v_i/V_f)-1)/Λ_t

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 Diameter of Workpiece = Workpiece removal parameter*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/Wheel Removal Parameter to calculate the Diameter of Workpiece, The Diameter of workpiece given feed and machine infeed speed is defined as the diameter of the workpiece which is undergoing grinding. Diameter of Workpiece is denoted by d_workpiece 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 (Λ_W), Diameter of Grinding Tool Wheel (d_t), Machine Infeed speed (v_i), Feed Speed (V_f) & Wheel Removal Parameter (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 -> 4.2E+6 = 10*0.012*((0.033/0.0035)-1)/2.4.

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 diameter of the workpiece which is undergoing grinding and is represented as d_workpiece = Λ_W*d_t*((v_i/V_f)-1)/Λ_t or Diameter of Workpiece = Workpiece removal parameter*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/Wheel Removal Parameter. Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force, The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding, Machine Infeed speed is the speed at which the wheel is moving towards the workpiece, Feed Speed is the Feed given against a workpiece per unit time & The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.

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 diameter of the workpiece which is undergoing grinding is calculated using Diameter of Workpiece = Workpiece removal parameter*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/Wheel Removal Parameter. To calculate Diameter of workpiece given feed and machine infeed speed, you need Workpiece removal parameter (Λ_W), Diameter of Grinding Tool Wheel (d_t), Machine Infeed speed (v_i), Feed Speed (V_f) & Wheel Removal Parameter (Λ_t). With our tool, you need to enter the respective value for Workpiece removal parameter, Diameter of Grinding Tool Wheel, Machine Infeed speed, Feed Speed & Wheel Removal Parameter 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 Diameter of Workpiece?

In this formula, Diameter of Workpiece uses Workpiece removal parameter, Diameter of Grinding Tool Wheel, Machine Infeed speed, Feed Speed & Wheel Removal Parameter. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Workpiece = Metal removal rate/(Feed Speed*pi*Width of Grinding Path)
Diameter of Workpiece = Equivalent Wheel Diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Wheel Diameter)

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