Diameter of wheel given feed and machine infeed speed Calculator

✖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 [d_workpiece]			+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%
✖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 wheel given feed and machine infeed speed [d_t]

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Formula

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Diameter of wheel given feed and machine infeed speed

Formula

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

Example

`"2.169763mm"="2.4"*"76.20mm"/((("33mm/s"/"3.5mm/s")-1)*"10")`

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Diameter of wheel given feed and machine infeed speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.
Wheel Removal Parameter - The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing 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.
Workpiece removal parameter - Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.

STEP 1: Convert Input(s) to Base Unit

Wheel Removal Parameter: 2.4 --> No Conversion Required
Diameter of Workpiece: 76.2 Millimeter --> 0.0762 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)
Workpiece removal parameter: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_t = Λ_t*d_workpiece/(((v_i/V_f)-1)*Λ_W) --> 2.4*0.0762/(((0.033/0.0035)-1)*10)

Evaluating ... ...

d_t = 0.00216976271186441

STEP 3: Convert Result to Output's Unit

0.00216976271186441 Meter -->2.16976271186441 Millimeter (Check conversion here)

FINAL ANSWER

2.16976271186441 ≈ 2.169763 Millimeter <-- Diameter of Grinding Tool Wheel

(Calculation completed in 00.004 seconds)

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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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< 19 Wheel Calculators

Diameter of wheel given feed and machine infeed speed

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

Constant for grinding wheel given maximum undeformed chip thickness

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

Surface speed of Wheel given constant for grinding wheel

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

Constant for grinding wheel

Go Constant for particular grinding wheel = 6/(Number of active grains per Area on wheel surface*Grain aspect ratio*sqrt(Diameter of Grinding Tool Wheel))

Wheel diameter given equivalent wheel diameter

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

Diameter of wheel given Constant for grinding wheel

Go Diameter of Grinding Tool Wheel = (6/(Number of active grains per Area on wheel surface*Grain aspect ratio*Constant for particular grinding wheel))^2

Surface speed of wheel given number of chip produce per time

Go Surface Speed of Wheel = Number of Chip Produced per Unit Time/(Width of Grinding Path*Number of active grains per Area on wheel surface)

Equivalent wheel diameter

Go Equivalent Wheel Diameter = Diameter of Grinding Tool Wheel/(1+(Diameter of Grinding Tool Wheel/Diameter of Workpiece))

Diameter of wheel for given Average Length of chip

Go Diameter of Grinding Tool Wheel = 2*Length of Chip/sin(Angle made by the length of the chip)

Diameter of wheel for given infeed

Go Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle made by the length of the chip))

Threshold thrust force given wheel removal parameter

Go Threshold Thrust Force = Thrust Force-(Wheel Removal Rate/Wheel Removal Parameter)

Thrust force given wheel removal parameter

Go Thrust Force = (Wheel Removal Rate/Wheel Removal Parameter)+Threshold Thrust Force

Wheel structure Number given Percentage Volume of Bond material in wheel

Go Wheel structure number = (Percentage Volume of Bond Material in Grinding+8-(1.33*Wheel hardness number))/2.2

Wheel hardness Number given Percentage Volume of Bond material in wheel

Go Wheel hardness number = (Percentage Volume of Bond Material in Grinding+8-(2.2*Wheel structure number))/1.33

Machine infeed speed given Feed speed in Grinding

Go Machine Infeed speed = Feed Speed+(Diameter of Grinding Tool Wheel/2)

Diameter of wheel given Feed speed in Grinding

Go Diameter of Grinding Tool Wheel = 2*(Machine Infeed speed-Feed Speed)

Feed speed in Grinding

Go Feed Speed = Machine Infeed speed-(Diameter of Grinding Tool Wheel/2)

Diameter of wheel given Average length of chip and Infeed

Go Diameter of Grinding Tool Wheel = (Length of Chip)^2/Feed

Grain Diameter of grinding wheel

Go Grain diameter of the grinding wheel = 0.0254/Grain size (in mm)

Diameter of wheel given feed and machine infeed speed Formula

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

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 wheel given feed and machine infeed speed?

Diameter of wheel given feed and machine infeed speed calculator uses Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Workpiece removal parameter) to calculate the Diameter of Grinding Tool Wheel, The Diameter of wheel given feed and machine infeed speed is the diameter of the wheel used for the grinding. Diameter of Grinding Tool Wheel is denoted by d_t symbol.

How to calculate Diameter of wheel given feed and machine infeed speed using this online calculator? To use this online calculator for Diameter of wheel given feed and machine infeed speed, enter Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_workpiece), Machine Infeed speed (v_i), Feed Speed (V_f) & Workpiece removal parameter (Λ_W) and hit the calculate button. Here is how the Diameter of wheel given feed and machine infeed speed calculation can be explained with given input values -> 2169.763 = 2.4*0.0762/(((0.033/0.0035)-1)*10).

FAQ

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

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

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

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

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

Diameter of Grinding Tool Wheel = 2*(Machine Infeed speed-Feed Speed)
Diameter of Grinding Tool Wheel = Equivalent Wheel Diameter*Diameter of Workpiece/(Diameter of Workpiece-Equivalent Wheel Diameter)

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