Percentage Volume of Bond material from Lindsay's semiempirical analysis Calculator

✖Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.ⓘ Surface Speed of Workpiece [v_w]			+10% -10%
✖Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.ⓘ Surface Speed of Wheel [v_t]			+10% -10%
✖Depth of Dress in the dressing process is defined as the amount displacement of the dressing tool towards the workpiece.ⓘ Depth of Dress [a_d]			+10% -10%
✖The Feed is the distance from the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f]			+10% -10%
✖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.ⓘ Equivalent Wheel Diameter [d_e]			+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%
✖Grain Diameter of The Grinding wheel is defined as the actual diameter of the grain of the grinding wheel used in grinding operation.ⓘ Grain Diameter of The Grinding wheel [d_g]			+10% -10%
✖The Rockwell Hardness Number is directly related to the indentation hardness of the plastic material (i.e., the higher the reading of Rockwell Hardness Number ,the harder the material is).ⓘ Rockwell Hardness Number [N_hardness]			+10% -10%

✖The Percentage Volume of Bond Material in Grinding refers to the proportion of the total volume of the grinding wheel that is occupied by the bond material.ⓘ Percentage Volume of Bond material from Lindsay's semiempirical analysis [V_b]

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Formula

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Percentage Volume of Bond material from Lindsay's semiempirical analysis

Formula

`"V"_{"b"} = ((7.93*100000*(("v"_{"w"}/"v"_{"t"})^0.158)*(1+(4*"a"_{"d"}/(3*"f")))*"f"^0.58*"v"_{"t"})/("d"_{"e"}^0.14*"Λ"_{"t"}*"d"_{"g"}^0.13*"N"_{"hardness"}^1.42))^(100/47)`

Example

`"16"=((7.93*100000*(("100mm/s"/"4.8mm/s")^0.158)*(1+(4*"0.657680918744346mm"/(3*"0.9mm")))*("0.9mm")^0.58*"4.8mm/s")/(("40mm")^0.14*"2.4"*("7mm")^0.13*("20")^1.42))^(100/47)`

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Percentage Volume of Bond material from Lindsay's semiempirical analysis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Percentage Volume of Bond Material in Grinding = ((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*Wheel Removal Parameter*Grain Diameter of The Grinding wheel^0.13*Rockwell Hardness Number^1.42))^(100/47)
V_b = ((7.93*100000*((v_w/v_t)^0.158)*(1+(4*a_d/(3*f)))*f^0.58*v_t)/(d_e^0.14*Λ_t*d_g^0.13*N_hardness^1.42))^(100/47)
This formula uses 9 Variables

Variables Used

Percentage Volume of Bond Material in Grinding - The Percentage Volume of Bond Material in Grinding refers to the proportion of the total volume of the grinding wheel that is occupied by the bond material.
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 from 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.
Wheel Removal Parameter - The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.
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 of Rockwell Hardness Number ,the harder the material is).

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: 0.657680918744346 Millimeter --> 0.000657680918744346 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)
Wheel Removal Parameter: 2.4 --> 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

V_b = ((7.93*100000*((v_w/v_t)^0.158)*(1+(4*a_d/(3*f)))*f^0.58*v_t)/(d_e^0.14*Λ_t*d_g^0.13*N_hardness^1.42))^(100/47) --> ((7.93*100000*((0.1/0.0048)^0.158)*(1+(4*0.000657680918744346/(3*0.0009)))*0.0009^0.58*0.0048)/(0.04^0.14*2.4*0.007^0.13*20^1.42))^(100/47)

Evaluating ... ...

V_b = 16

STEP 3: Convert Result to Output's Unit

16 --> No Conversion Required

FINAL ANSWER

16 <-- Percentage Volume of Bond Material in Grinding

(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Srinagar

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< 8 Lindsay Semiempirical Analysis Calculators

Workpiece surface speed from Lindsay's semiempirical analysis

Go Surface Speed of Workpiece = ((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*((1/Surface Speed of Wheel)^0.158)*(1+(4*Depth of Dress/(3*Feed)))*Feed^0.58*Surface Speed of Wheel))^(1000/158)

Rockwell hardness number of work material from Lindsay semiempirical analysis

Go Rockwell Hardness Number = ((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*Wheel Removal Parameter))^(100/142)

Percentage Volume of Bond material from Lindsay's semiempirical analysis

Go Percentage Volume of Bond Material in Grinding = ((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*Wheel Removal Parameter*Grain Diameter of The Grinding wheel^0.13*Rockwell Hardness Number^1.42))^(100/47)

Equivalent wheel diameter from Lindsay's semiempirical analysis

Go Equivalent Wheel Diameter = ((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)/(Wheel Removal Parameter*Percentage Volume of Bond Material in Grinding^0.47*Grain Diameter of The Grinding wheel^0.13*Rockwell Hardness Number^1.42))^(100/14)

Grain diameter from Lindsay's semiempirical analysis

Go Grain Diameter of The Grinding wheel = ((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*Wheel Removal Parameter*Rockwell Hardness Number^1.42))^(100/13)

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)

Depth of dress from Lindsay semiempirical analysis

Go Depth of Dress = (((Wheel Removal Parameter*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)/(7.93*100000*((Surface Speed of Workpiece/Surface Speed of Wheel)^0.158)*Feed^0.58*Surface Speed of Wheel))-1)*3*Feed/4

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))

Percentage Volume of Bond material from Lindsay's semiempirical analysis Formula

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 Percentage Volume of Bond material from Lindsay's semiempirical analysis?

Percentage Volume of Bond material from Lindsay's semiempirical analysis calculator uses Percentage Volume of Bond Material in Grinding = ((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*Wheel Removal Parameter*Grain Diameter of The Grinding wheel^0.13*Rockwell Hardness Number^1.42))^(100/47) to calculate the Percentage Volume of Bond Material in Grinding, The Percentage Volume of Bond material from Lindsay's semiempirical analysis is used to determine the percentage of the volume of a bond material in the grinding wheel. Percentage Volume of Bond Material in Grinding is denoted by V_b symbol.

How to calculate Percentage Volume of Bond material from Lindsay's semiempirical analysis using this online calculator? To use this online calculator for Percentage Volume of Bond material from Lindsay's semiempirical analysis, enter Surface Speed of Workpiece (v_w), Surface Speed of Wheel (v_t), Depth of Dress (a_d), Feed (f), Equivalent Wheel Diameter (d_e), Wheel Removal Parameter (Λ_t), Grain Diameter of The Grinding wheel (d_g) & Rockwell Hardness Number (N_hardness) and hit the calculate button. Here is how the Percentage Volume of Bond material from Lindsay's semiempirical analysis calculation can be explained with given input values -> 16 = ((7.93*100000*((0.1/0.0048)^0.158)*(1+(4*0.000657680918744346/(3*0.0009)))*0.0009^0.58*0.0048)/(0.04^0.14*2.4*0.007^0.13*20^1.42))^(100/47).

FAQ

What is Percentage Volume of Bond material from Lindsay's semiempirical analysis?

The Percentage Volume of Bond material from Lindsay's semiempirical analysis is used to determine the percentage of the volume of a bond material in the grinding wheel and is represented as V_b = ((7.93*100000*((v_w/v_t)^0.158)*(1+(4*a_d/(3*f)))*f^0.58*v_t)/(d_e^0.14*Λ_t*d_g^0.13*N_hardness^1.42))^(100/47) or Percentage Volume of Bond Material in Grinding = ((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*Wheel Removal Parameter*Grain Diameter of The Grinding wheel^0.13*Rockwell Hardness Number^1.42))^(100/47). 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 from 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 wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force, 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 of Rockwell Hardness Number ,the harder the material is).

How to calculate Percentage Volume of Bond material from Lindsay's semiempirical analysis?

The Percentage Volume of Bond material from Lindsay's semiempirical analysis is used to determine the percentage of the volume of a bond material in the grinding wheel is calculated using Percentage Volume of Bond Material in Grinding = ((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*Wheel Removal Parameter*Grain Diameter of The Grinding wheel^0.13*Rockwell Hardness Number^1.42))^(100/47). To calculate Percentage Volume of Bond material from Lindsay's semiempirical analysis, you need Surface Speed of Workpiece (v_w), Surface Speed of Wheel (v_t), Depth of Dress (a_d), Feed (f), Equivalent Wheel Diameter (d_e), Wheel Removal Parameter (Λ_t), Grain Diameter of The Grinding wheel (d_g) & Rockwell Hardness Number (N_hardness). 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, Wheel Removal Parameter, 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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