Diameter of wheel for given infeed Calculator

✖Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f_in]			+10% -10%
✖Angle made by the length of the chip is the angle made by the arc of length of the chip from the midpoint.ⓘ Angle made by the length of the chip [θ]			+10% -10%

✖The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.ⓘ Diameter of wheel for given infeed [d_T]

⎘ Copy

👎

Formula

✖

Diameter of wheel for given infeed

Formula

`"d"_{"T"} = 2*"f"_{"in"}/(1-cos("θ"))`

Example

`"12.01778mm"=2*"0.95mm"/(1-cos("0.57rad"))`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Diameter of wheel for given infeed Solution

STEP 0: Pre-Calculation Summary

Formula Used

The Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle made by the length of the chip))
d_T = 2*f_in/(1-cos(θ))
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

The Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.
Feed - (Measured in Meter) - Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.
Angle made by the length of the chip - (Measured in Radian) - Angle made by the length of the chip is the angle made by the arc of length of the chip from the midpoint.

STEP 1: Convert Input(s) to Base Unit

Feed: 0.95 Millimeter --> 0.00095 Meter (Check conversion here)
Angle made by the length of the chip: 0.57 Radian --> 0.57 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_T = 2*f_in/(1-cos(θ)) --> 2*0.00095/(1-cos(0.57))

Evaluating ... ...

d_T = 0.0120177844357365

STEP 3: Convert Result to Output's Unit

0.0120177844357365 Meter -->12.0177844357365 Millimeter (Check conversion here)

FINAL ANSWER

12.0177844357365 ≈ 12.01778 Millimeter <-- The Diameter of Grinding Tool Wheel

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Analysis of Grinding Process » Cylindrical Grinding cycle » Wheel » Diameter of wheel for given infeed

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 = The 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 particular grinding wheel = (Maximum Undeformed Chip Thickness before machining^2)*The Surface speed of wheel/(Surface Speed of Workpiece*sqrt(Feed))

Surface speed of Wheel given constant for grinding wheel

Go The Surface speed of wheel = (Constant for particular grinding wheel*Surface Speed of Workpiece*sqrt(Feed))/(Maximum Undeformed Chip Thickness before machining^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(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 = The Number of Chip Produced per Unit Time/(Width of grinding path*Number of active grains per Area on wheel surface)

Wheel diameter given equivalent wheel diameter

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

Diameter of wheel given Constant for grinding wheel

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

Diameter of wheel for given Average Length of chip

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

Diameter of wheel for given infeed

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

Wheel structure Number given Percentage Volume of Bond material in wheel

Go Structure Number of Wheel = (The Percentage volume of bond material in grinding+8-(1.33*The wheel hardness number))/2.2

Wheel hardness Number given Percentage Volume of Bond material in wheel

Go The wheel hardness number = (The Percentage volume of bond material in grinding+8-(2.2*Structure Number of Wheel))/1.33

Threshold thrust force given wheel removal parameter

Go Threshold thrust force = Thrust force-(Wheel removal rate/The wheel removal parameter)

Thrust force given wheel removal parameter

Go Thrust force = (Wheel removal rate/The 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 = (The 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 for given infeed Formula

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

What is the process of Grinding?

Grinding is an abrasive machining process that uses a grinding wheel or grinder as the cutting tool. Grinding is a subset of cutting, as grinding is a true metal-cutting process. ... Grinding is used to finish workpieces that must show high surface quality and high accuracy of shape and dimension

How to Calculate Diameter of wheel for given infeed?

Diameter of wheel for given infeed calculator uses The Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle made by the length of the chip)) to calculate the The Diameter of Grinding Tool Wheel, The Diameter of wheel for given infeed is given formula is the diameter of the wheel used for the grinding. The Diameter of Grinding Tool Wheel is denoted by d_T symbol.

How to calculate Diameter of wheel for given infeed using this online calculator? To use this online calculator for Diameter of wheel for given infeed, enter Feed (f_in) & Angle made by the length of the chip (θ) and hit the calculate button. Here is how the Diameter of wheel for given infeed calculation can be explained with given input values -> 12017.78 = 2*0.00095/(1-cos(0.57)).

FAQ

What is Diameter of wheel for given infeed?

The Diameter of wheel for given infeed is given formula is the diameter of the wheel used for the grinding and is represented as d_T = 2*f_in/(1-cos(θ)) or The Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle made by the length of the chip)). Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle & Angle made by the length of the chip is the angle made by the arc of length of the chip from the midpoint.

How to calculate Diameter of wheel for given infeed?

The Diameter of wheel for given infeed is given formula is the diameter of the wheel used for the grinding is calculated using The Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle made by the length of the chip)). To calculate Diameter of wheel for given infeed, you need Feed (f_in) & Angle made by the length of the chip (θ). With our tool, you need to enter the respective value for Feed & Angle made by the length of the chip 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 Feed & Angle made by the length of the chip. We can use 6 other way(s) to calculate the same, which is/are as follows -

The Diameter of Grinding Tool Wheel = 2*The Length of Chip/sin(Angle made by the length of the chip)
The Diameter of Grinding Tool Wheel = (The 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 on wheel surface*Grain aspect ratio*Constant for particular grinding wheel))^2
The Diameter of Grinding Tool Wheel = The wheel removal parameter*Workpiece diameter/(((Machine Infeed speed towards workpiece/The Feed Speed)-1)*Workpiece Removal Parameter)
The Diameter of Grinding Tool Wheel = Equivalent Wheel Diameter*Workpiece diameter/(Workpiece diameter-Equivalent Wheel Diameter)

Home

FREE PDFs

🔍 Search