Rockwell hardness number of work material from Lindsay 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 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 in Grinding [V_b]			+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 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 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 of work material from Lindsay semiempirical analysis [N_hardness]

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Rockwell hardness number of work material from Lindsay semiempirical analysis Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
N_hardness = ((7.93*100000*(v_w/v_t)^0.158*(1+(4*a_d/(3*f)))*f^0.58*v_t)/(d_e^0.14*V_b^0.47*d_g^0.13*Λ_t))^(100/142)
This formula uses 9 Variables

Variables Used

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).
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.
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.
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.
Wheel Removal Parameter - The Wheel Removal Parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.

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)
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)
Wheel Removal Parameter: 2.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_hardness = ((7.93*100000*(v_w/v_t)^0.158*(1+(4*a_d/(3*f)))*f^0.58*v_t)/(d_e^0.14*V_b^0.47*d_g^0.13*Λ_t))^(100/142) --> ((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*16^0.47*0.007^0.13*2.4))^(100/142)

Evaluating ... ...

N_hardness = 20

STEP 3: Convert Result to Output's Unit

20 --> No Conversion Required

FINAL ANSWER

20 <-- Rockwell Hardness Number

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Srinagar

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< Lindsay Semiempirical Analysis Calculators

Equivalent wheel diameter from Lindsay's semiempirical analysis

LaTeX 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)

Percentage Volume of Bond material from Lindsay's semiempirical analysis

LaTeX 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)

Grain diameter from Lindsay's semiempirical analysis

LaTeX 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

LaTeX 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)

Rockwell hardness number of work material from Lindsay semiempirical analysis Formula

LaTeX Go

Why dressing of wheel is necessary for grinding?

The objective of dressing the wheel is to: True the wheel by knocking abrasive particles from the wheel's surface and making the wheel concentric. This minimizes vibration and improves surface finish, eliminating the vibration of the out-of-balance wheel across the workpiece's surface.

How to Calculate Rockwell hardness number of work material from Lindsay semiempirical analysis?

Rockwell hardness number of work material from Lindsay semiempirical analysis calculator uses 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) to calculate the Rockwell Hardness Number, Rockwell hardness number of work material from Lindsay semiempirical analysis involves measuring the depth of penetration of an indenter under a predetermined load (minor load) into the surface of the material, followed by applying an additional load (major load), and then measuring the increase in depth of penetration caused by the additional load. The Rockwell hardness number is then determined based on the difference in depth of penetration before and after applying the major load. Rockwell Hardness Number is denoted by N_hardness symbol.

How to calculate Rockwell hardness number of work material from Lindsay semiempirical analysis using this online calculator? To use this online calculator for Rockwell hardness number of work material from Lindsay 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), Percentage Volume of Bond Material in Grinding (V_b), Grain Diameter of The Grinding wheel (d_g) & Wheel Removal Parameter (Λ_t) and hit the calculate button. Here is how the Rockwell hardness number of work material from Lindsay semiempirical analysis calculation can be explained with given input values -> 20 = ((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*16^0.47*0.007^0.13*2.4))^(100/142).

FAQ

What is Rockwell hardness number of work material from Lindsay semiempirical analysis?

Rockwell hardness number of work material from Lindsay semiempirical analysis involves measuring the depth of penetration of an indenter under a predetermined load (minor load) into the surface of the material, followed by applying an additional load (major load), and then measuring the increase in depth of penetration caused by the additional load. The Rockwell hardness number is then determined based on the difference in depth of penetration before and after applying the major load and is represented as N_hardness = ((7.93*100000*(v_w/v_t)^0.158*(1+(4*a_d/(3*f)))*f^0.58*v_t)/(d_e^0.14*V_b^0.47*d_g^0.13*Λ_t))^(100/142) or 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). 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 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, Grain Diameter of The Grinding wheel is defined as the actual diameter of the grain of the grinding wheel used in grinding operation & The Wheel Removal Parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.

How to calculate Rockwell hardness number of work material from Lindsay semiempirical analysis?

Rockwell hardness number of work material from Lindsay semiempirical analysis involves measuring the depth of penetration of an indenter under a predetermined load (minor load) into the surface of the material, followed by applying an additional load (major load), and then measuring the increase in depth of penetration caused by the additional load. The Rockwell hardness number is then determined based on the difference in depth of penetration before and after applying the major load is calculated using 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). To calculate Rockwell hardness number of work material from Lindsay 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), Percentage Volume of Bond Material in Grinding (V_b), Grain Diameter of The Grinding wheel (d_g) & Wheel Removal Parameter (Λ_t). 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 & Wheel Removal Parameter 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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