Diameter of wheel given feed and machine infeed speed Calculator

✖Wheel Removal Parameter 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 [Λ_t]			+10% -10%
✖Workpiece Diameter is defined as the size of the workpiece in grinding operation which influences the selection of grinding parameters such as wheel speed, feed rate, and depth of cut.ⓘ Workpiece Diameter [d_w]			+10% -10%
✖Machine Infeed Speed Towards Workpiece is the rate at which the wheel is moving towards the workpiece in grinding.ⓘ Machine Infeed Speed Towards Workpiece [V_i]			+10% -10%
✖The Feed Speed is the rate at which the cutting tool or workpiece moves during a machining operation. It is given against a workpiece per unit time.ⓘ The 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. The amount of material removed from the workpiece per unit time.ⓘ Workpiece Removal Parameter [Λ_w]			+10% -10%

✖The Diameter of Grinding Tool Wheel is the size of grinding wheel and a critical parameter in grinding operations. It determines the wheel's cutting speed, material removal rate, and surface finish.ⓘ 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"_{"w"}/((("V"_{"i"}/"V"_{"F"})-1)*"Λ"_{"w"})`

Example

`"12.06067mm"="13.5"*"15.4mm"/((("9.5mm/s"/"3.49mm/s")-1)*"10.01")`

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Diameter of wheel given feed and machine infeed speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

The Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Workpiece Diameter/(((Machine Infeed Speed Towards Workpiece/The Feed Speed)-1)*Workpiece Removal Parameter)
d_T = Λ_t*d_w/(((V_i/V_F)-1)*Λ_w)
This formula uses 6 Variables

Variables Used

The Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the size of grinding wheel and a critical parameter in grinding operations. It determines the wheel's cutting speed, material removal rate, and surface finish.
Wheel Removal Parameter - Wheel Removal Parameter 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.
Workpiece Diameter - (Measured in Meter) - Workpiece Diameter is defined as the size of the workpiece in grinding operation which influences the selection of grinding parameters such as wheel speed, feed rate, and depth of cut.
Machine Infeed Speed Towards Workpiece - (Measured in Meter per Second) - Machine Infeed Speed Towards Workpiece is the rate at which the wheel is moving towards the workpiece in grinding.
The Feed Speed - (Measured in Meter per Second) - The Feed Speed is the rate at which the cutting tool or workpiece moves during a machining operation. It is 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. The amount of material removed from the workpiece per unit time.

STEP 1: Convert Input(s) to Base Unit

Wheel Removal Parameter: 13.5 --> No Conversion Required
Workpiece Diameter: 15.4 Millimeter --> 0.0154 Meter (Check conversion here)
Machine Infeed Speed Towards Workpiece: 9.5 Millimeter per Second --> 0.0095 Meter per Second (Check conversion here)
The Feed Speed: 3.49 Millimeter per Second --> 0.00349 Meter per Second (Check conversion here)
Workpiece Removal Parameter: 10.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_T = Λ_t*d_w/(((V_i/V_F)-1)*Λ_w) --> 13.5*0.0154/(((0.0095/0.00349)-1)*10.01)

Evaluating ... ...

d_T = 0.0120606681172405

STEP 3: Convert Result to Output's Unit

0.0120606681172405 Meter -->12.0606681172405 Millimeter (Check conversion here)

FINAL ANSWER

12.0606681172405 ≈ 12.06067 Millimeter <-- The Diameter of Grinding Tool Wheel

(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

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 19 Wheel Calculators

Diameter of wheel given feed and machine infeed speed

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

Constant for grinding wheel given maximum undeformed chip thickness

Go Constant for Grinding Wheel = (Maximum Undeformed Chip Thickness before Machining^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 Grinding Wheel*Surface Speed of Workpiece*sqrt(Feed))/(Maximum Undeformed Chip Thickness before Machining^2)

Wheel diameter given equivalent wheel diameter

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

Constant for grinding wheel

Go Constant for Grinding Wheel = 6/(Number of Active Grains per Area*Grain Aspect Ratio*sqrt(The Diameter of Grinding Tool Wheel))

Surface speed of wheel given number of chip produce per time

Go Surface Speed of Wheel for Given No of Chips = Number of Chip Produced per Unit Time/(Width of Grinding Path*Number of Active Grains per Area)

Diameter of wheel given Constant for grinding wheel

Go The Diameter of Grinding Tool Wheel = (6/(Number of Active Grains per Area*Grain Aspect Ratio*Constant for Grinding Wheel))^2

Equivalent wheel diameter

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

Wheel structure Number given Percentage Volume of Bond material in wheel

Go Structure Number of Wheel = (Percentage Volume of Bond Material in Grinding+8-(1.33*Wheel Hardness Number of Grinding))/2.2

Wheel hardness Number given Percentage Volume of Bond material in wheel

Go Wheel Hardness Number of Grinding = (Percentage Volume of Bond Material in Grinding+8-(2.2*Structure Number of Wheel))/1.33

Diameter of wheel for given Average Length of chip

Go The Diameter of Grinding Tool Wheel = 2*Length of Chip/sin(Angle Made by the Length of Chip)

Diameter of wheel for given infeed

Go The Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle Made by the Length of 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

Machine infeed speed given Feed speed in Grinding

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

Diameter of wheel given Feed speed in Grinding

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

Feed speed in Grinding

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

Diameter of wheel given Average length of chip and Infeed

Go The 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

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 The Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Workpiece Diameter/(((Machine Infeed Speed Towards Workpiece/The Feed Speed)-1)*Workpiece Removal Parameter) to calculate the The Diameter of Grinding Tool Wheel, The Diameter of wheel given feed and machine infeed speed is defined as selecting the wheel size to optimize material removal and surface finish while accommodating the specific feed rate and machine spindle speed. The 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), Workpiece Diameter (d_w), Machine Infeed Speed Towards Workpiece (V_i), The 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 -> 12060.67 = 13.5*0.0154/(((0.0095/0.00349)-1)*10.01).

FAQ

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

The Diameter of wheel given feed and machine infeed speed is defined as selecting the wheel size to optimize material removal and surface finish while accommodating the specific feed rate and machine spindle speed and is represented as d_T = Λ_t*d_w/(((V_i/V_F)-1)*Λ_w) or The Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Workpiece Diameter/(((Machine Infeed Speed Towards Workpiece/The Feed Speed)-1)*Workpiece Removal Parameter). Wheel Removal Parameter 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, Workpiece Diameter is defined as the size of the workpiece in grinding operation which influences the selection of grinding parameters such as wheel speed, feed rate, and depth of cut, Machine Infeed Speed Towards Workpiece is the rate at which the wheel is moving towards the workpiece in grinding, The Feed Speed is the rate at which the cutting tool or workpiece moves during a machining operation. It is 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. The amount of material removed from the workpiece per unit time.

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

The Diameter of wheel given feed and machine infeed speed is defined as selecting the wheel size to optimize material removal and surface finish while accommodating the specific feed rate and machine spindle speed is calculated using The Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Workpiece Diameter/(((Machine Infeed Speed Towards Workpiece/The Feed Speed)-1)*Workpiece Removal Parameter). To calculate Diameter of wheel given feed and machine infeed speed, you need Wheel Removal Parameter (Λ_t), Workpiece Diameter (d_w), Machine Infeed Speed Towards Workpiece (V_i), The Feed Speed (V_F) & Workpiece Removal Parameter (Λ_w). With our tool, you need to enter the respective value for Wheel Removal Parameter, Workpiece Diameter, Machine Infeed Speed Towards Workpiece, The 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 The Diameter of Grinding Tool Wheel?

In this formula, The Diameter of Grinding Tool Wheel uses Wheel Removal Parameter, Workpiece Diameter, Machine Infeed Speed Towards Workpiece, The Feed Speed & Workpiece Removal Parameter. We can use 6 other way(s) to calculate the same, which is/are as follows -

The Diameter of Grinding Tool Wheel = 2*Length of Chip/sin(Angle Made by the Length of Chip)
The Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle Made by the Length of Chip))
The Diameter of Grinding Tool Wheel = (Length of Chip)^2/Feed
The Diameter of Grinding Tool Wheel = 2*(Machine Infeed Speed Towards Workpiece-The Feed Speed)
The Diameter of Grinding Tool Wheel = (6/(Number of Active Grains per Area*Grain Aspect Ratio*Constant for Grinding Wheel))^2
The Diameter of Grinding Tool Wheel = Equivalent Wheel Diameter*Workpiece Diameter/(Workpiece Diameter-Equivalent Wheel Diameter)

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