Wheel removal parameter from Lindsay's semiempirical analysis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wheel Removal Parameter = (7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42)
Λt = (7.93*100000*((vw/vt)^0.158)*(1+(4*ad/(3*fin)))*fin^0.58*vt)/(de^0.14*Vb^0.47*dg^0.13*Rkc^1.42)
This formula uses 9 Variables
Variables Used
Wheel Removal Parameter - The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.
Surface Speed of Workpiece - (Measured in Meter per Second) - Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.
Surface Speed of Wheel - (Measured in Meter per Second) - Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.
Depth of Dress - (Measured in Meter) - Depth of dress in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece.
Feed - (Measured in Meter) - The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.
Equivalent Wheel Diameter - (Measured in Meter) - Equivalent Wheel Diameter is the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed.
Percentage Volume of Bond Material in Grinding - The Percentage volume of bond material in grinding is the percentage of the volume of bond material in the grinding wheel.
Grain diameter of the grinding wheel - (Measured in Meter) - Grain diameter of the grinding wheel is defined as the actual diameter of the grain of the grinding wheel used in grinding operation.
Rockwell Hardness number - The Rockwell hardness number is directly related to the indentation hardness of the plastic material (i.e., the higher the reading, the harder the material).
STEP 1: Convert Input(s) to Base Unit
Surface Speed of Workpiece: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)
Surface Speed of Wheel: 4.8 Millimeter per Second --> 0.0048 Meter per Second (Check conversion here)
Depth of Dress: 11 Millimeter --> 0.011 Meter (Check conversion here)
Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Equivalent Wheel Diameter: 40 Millimeter --> 0.04 Meter (Check conversion here)
Percentage Volume of Bond Material in Grinding: 16 --> No Conversion Required
Grain diameter of the grinding wheel: 7 Millimeter --> 0.007 Meter (Check conversion here)
Rockwell Hardness number: 20 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Λt = (7.93*100000*((vw/vt)^0.158)*(1+(4*ad/(3*fin)))*fin^0.58*vt)/(de^0.14*Vb^0.47*dg^0.13*Rkc^1.42) --> (7.93*100000*((0.1/0.0048)^0.158)*(1+(4*0.011/(3*0.0009)))*0.0009^0.58*0.0048)/(0.04^0.14*16^0.47*0.007^0.13*20^1.42)
Evaluating ... ...
Λt = 21.0252879034244
STEP 3: Convert Result to Output's Unit
21.0252879034244 --> No Conversion Required
FINAL ANSWER
21.0252879034244 21.02529 <-- Wheel Removal Parameter
(Calculation completed in 00.020 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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5 Wheel Calculators

Wheel removal parameter from Lindsay's semiempirical analysis
Go Wheel Removal Parameter = (7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42)
Wheel surface speed from Lindsay's semiempirical analysis
Go Surface Speed of Wheel = ((Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42*Wheel Removal Parameter)/(7.93*100000*((Surface Speed of Workpiece)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58))^(1/(1-0.158))
Wheel diameter given equivalent wheel diameter
Go Diameter of Grinding Tool Wheel = Equivalent Wheel Diameter*Diameter of Workpiece/(Diameter of Workpiece-Equivalent Wheel Diameter)
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

Wheel removal parameter from Lindsay's semiempirical analysis Formula

Wheel Removal Parameter = (7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42)
Λt = (7.93*100000*((vw/vt)^0.158)*(1+(4*ad/(3*fin)))*fin^0.58*vt)/(de^0.14*Vb^0.47*dg^0.13*Rkc^1.42)

What is dressing operation?

The dressing is the process of sharpening a grinding wheel. In most grinding operations, small chips of workpiece material can become lodged in the cutting surface. If the wheel bonding hardness is excessive, dulled abrasive grains can remain in the grinding wheel.

How to Calculate Wheel removal parameter from Lindsay's semiempirical analysis?

Wheel removal parameter from Lindsay's semiempirical analysis calculator uses Wheel Removal Parameter = (7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42) to calculate the Wheel Removal Parameter, The Wheel removal parameter from Lindsay's semiempirical analysis is the ratio of the volume of wheel removed per unit time per unit thrust force. Wheel Removal Parameter is denoted by Λt symbol.

How to calculate Wheel removal parameter from Lindsay's semiempirical analysis using this online calculator? To use this online calculator for Wheel removal parameter from Lindsay's semiempirical analysis, enter Surface Speed of Workpiece (vw), Surface Speed of Wheel (vt), Depth of Dress (ad), Feed (fin), Equivalent Wheel Diameter (de), Percentage Volume of Bond Material in Grinding (Vb), Grain diameter of the grinding wheel (dg) & Rockwell Hardness number (Rkc) and hit the calculate button. Here is how the Wheel removal parameter from Lindsay's semiempirical analysis calculation can be explained with given input values -> 21.02529 = (7.93*100000*((0.1/0.0048)^0.158)*(1+(4*0.011/(3*0.0009)))*0.0009^0.58*0.0048)/(0.04^0.14*16^0.47*0.007^0.13*20^1.42).

FAQ

What is Wheel removal parameter from Lindsay's semiempirical analysis?
The Wheel removal parameter from Lindsay's semiempirical analysis is the ratio of the volume of wheel removed per unit time per unit thrust force and is represented as Λt = (7.93*100000*((vw/vt)^0.158)*(1+(4*ad/(3*fin)))*fin^0.58*vt)/(de^0.14*Vb^0.47*dg^0.13*Rkc^1.42) or Wheel Removal Parameter = (7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42). Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool, Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding, Depth of dress in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece, The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle, Equivalent Wheel Diameter is the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed, The Percentage volume of bond material in grinding is the percentage of the volume of bond material in the grinding wheel, Grain diameter of the grinding wheel is defined as the actual diameter of the grain of the grinding wheel used in grinding operation & The Rockwell hardness number is directly related to the indentation hardness of the plastic material (i.e., the higher the reading, the harder the material).
How to calculate Wheel removal parameter from Lindsay's semiempirical analysis?
The Wheel removal parameter from Lindsay's semiempirical analysis is the ratio of the volume of wheel removed per unit time per unit thrust force is calculated using Wheel Removal Parameter = (7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel)/(Equivalent Wheel Diameter^0.14*Percentage Volume of Bond Material in Grinding^0.47*Grain diameter of the grinding wheel^0.13*Rockwell Hardness number^1.42). To calculate Wheel removal parameter from Lindsay's semiempirical analysis, you need Surface Speed of Workpiece (vw), Surface Speed of Wheel (vt), Depth of Dress (ad), Feed (fin), Equivalent Wheel Diameter (de), Percentage Volume of Bond Material in Grinding (Vb), Grain diameter of the grinding wheel (dg) & Rockwell Hardness number (Rkc). With our tool, you need to enter the respective value for Surface Speed of Workpiece, Surface Speed of Wheel, Depth of Dress, Feed, Equivalent Wheel Diameter, Percentage Volume of Bond Material in Grinding, Grain diameter of the grinding wheel & Rockwell Hardness number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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