Surface speed of workpiece given constant for grinding wheel Calculator

✖Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining.ⓘ Maximum Undeformed Chip Thickness [a_cMax]			+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%
✖The Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.ⓘ The Constant for particular grinding wheel [K_g]			+10% -10%
✖The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ The Feed [f_i]			+10% -10%

✖The Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.ⓘ Surface speed of workpiece given constant for grinding wheel [v_w]

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Formula

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Surface speed of workpiece given constant for grinding wheel

Formula

`"v"_{"w"} = ("a"_{"cMax"}^2)*"V"_{"t"}/("K"_{"g"}*sqrt("f"_{"i"}))`

Example

`"99.69828mm/s"=(("200mm")^2)*"190mm/s"/("2.541"*sqrt("0.9mm"))`

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Surface speed of workpiece given constant for grinding wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

The Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface speed of wheel/(The Constant for particular grinding wheel*sqrt(The Feed))
v_w = (a_cMax^2)*V_t/(K_g*sqrt(f_i))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

The Surface Speed of Workpiece - (Measured in Meter per Second) - The Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.
Maximum Undeformed Chip Thickness - (Measured in Meter) - Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining.
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.
The Constant for particular grinding wheel - The Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.
The 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.

STEP 1: Convert Input(s) to Base Unit

Maximum Undeformed Chip Thickness: 200 Millimeter --> 0.2 Meter (Check conversion here)
Surface speed of wheel: 190 Millimeter per Second --> 0.19 Meter per Second (Check conversion here)
The Constant for particular grinding wheel: 2.541 --> No Conversion Required
The Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_w = (a_cMax^2)*V_t/(K_g*sqrt(f_i)) --> (0.2^2)*0.19/(2.541*sqrt(0.0009))

Evaluating ... ...

v_w = 0.0996982815164634

STEP 3: Convert Result to Output's Unit

0.0996982815164634 Meter per Second -->99.6982815164634 Millimeter per Second (Check conversion here)

FINAL ANSWER

99.6982815164634 ≈ 99.69828 Millimeter per Second <-- The Surface Speed of Workpiece

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Analysis of Grinding Process » Cylindrical Grinding cycle » Workpiece » Surface speed of workpiece given constant for grinding wheel

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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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< 14 Workpiece Calculators

Diameter of workpiece given feed and machine infeed speed

Go Grinding Workpiece diameter = Workpiece removal parameter per unit time*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/The wheel removal parameter per unit time

Surface speed of workpiece given constant for grinding wheel

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

Workpiece diameter given equivalent wheel diameter

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

Workpiece removal parameter given number of workpiece revolution

Go Workpiece removal parameter per unit time = 2*The Surface Speed of Workpiece*The Width of grinding path/(The Number of Workpiece revolution*Effective stiffness)

Workpiece surface speed given number of workpiece revolutions

Go The Surface Speed of Workpiece = The Number of Workpiece revolution*Workpiece removal parameter per unit time*Effective stiffness/(2*The Width of grinding path)

Width of Grinding path given number of workpiece revolutions

Go The Width of grinding path = The Number of Workpiece revolution*Workpiece removal parameter per unit time*Effective stiffness/(2*The Surface Speed of Workpiece)

System stiffness given Number of workpiece revolution

Go Effective stiffness = 2*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*The Number of Workpiece revolution)

Number of workpiece revolution

Go The Number of Workpiece revolution = 2*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*Effective stiffness)

Diameter of workpiece given Metal removal rate

Go Grinding Workpiece diameter = Metal removal rate (MRR)/(Feed Speed*pi*The Width of grinding path)

Surface Speed of workpiece given Metal removal rate during grinding

Go The Surface Speed of Workpiece = Material removal rate (MRR)/(The Feed*The Width of grinding path)

Percentage Volume of Bond material in wheel of grinding

Go Percentage volume of bond material in grinding = (1.33*Wheel hardness number)+(2.2*Wheel structure number)-8

Number of workpiece revolutions given Time taken for spark out operation

Go The Number of Workpiece revolution = Time taken for spark-out operation*Rotational Frequency

Rotational frequency of workpiece given Number of workpiece revolution

Go Rotational Frequency = The Number of Workpiece revolution/Time taken for spark-out operation

Proportion of Total Energy flowing into workpiece

Go Proportion of total energy flowing into workpiece = (0.6+0.05*Relative Contact Area of Grain is the area)*100

Surface speed of workpiece given constant for grinding wheel Formula

The Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface speed of wheel/(The Constant for particular grinding wheel*sqrt(The Feed))
v_w = (a_cMax^2)*V_t/(K_g*sqrt(f_i))

How often should you dress a grinding wheel?

Dull dressing tools glaze the wheel face to produce a dull wheel. To maintain a well-defined and sharp diamond point, rotate the single-point or cone-point tool 1/8 turn at regular intervals. The frequency of these rotations will depend on how often you dress, but a minimum of once per day is a good rule of thumb.

How to Calculate Surface speed of workpiece given constant for grinding wheel?

Surface speed of workpiece given constant for grinding wheel calculator uses The Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface speed of wheel/(The Constant for particular grinding wheel*sqrt(The Feed)) to calculate the The Surface Speed of Workpiece, The Surface speed of workpiece given constant for grinding wheel formula is used to determine the speed of the surface rotating with respect to the grinding tool. The Surface Speed of Workpiece is denoted by v_w symbol.

How to calculate Surface speed of workpiece given constant for grinding wheel using this online calculator? To use this online calculator for Surface speed of workpiece given constant for grinding wheel, enter Maximum Undeformed Chip Thickness (a_cMax), Surface speed of wheel (V_t), The Constant for particular grinding wheel (K_g) & The Feed (f_i) and hit the calculate button. Here is how the Surface speed of workpiece given constant for grinding wheel calculation can be explained with given input values -> 100223 = (0.2^2)*0.19/(2.541*sqrt(0.0009)).

FAQ

What is Surface speed of workpiece given constant for grinding wheel?

The Surface speed of workpiece given constant for grinding wheel formula is used to determine the speed of the surface rotating with respect to the grinding tool and is represented as v_w = (a_cMax^2)*V_t/(K_g*sqrt(f_i)) or The Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface speed of wheel/(The Constant for particular grinding wheel*sqrt(The Feed)). Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining, Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding, The Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding & The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.

How to calculate Surface speed of workpiece given constant for grinding wheel?

The Surface speed of workpiece given constant for grinding wheel formula is used to determine the speed of the surface rotating with respect to the grinding tool is calculated using The Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface speed of wheel/(The Constant for particular grinding wheel*sqrt(The Feed)). To calculate Surface speed of workpiece given constant for grinding wheel, you need Maximum Undeformed Chip Thickness (a_cMax), Surface speed of wheel (V_t), The Constant for particular grinding wheel (K_g) & The Feed (f_i). With our tool, you need to enter the respective value for Maximum Undeformed Chip Thickness, Surface speed of wheel, The Constant for particular grinding wheel & The Feed 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 Surface Speed of Workpiece?

In this formula, The Surface Speed of Workpiece uses Maximum Undeformed Chip Thickness, Surface speed of wheel, The Constant for particular grinding wheel & The Feed. We can use 2 other way(s) to calculate the same, which is/are as follows -

The Surface Speed of Workpiece = Material removal rate (MRR)/(The Feed*The Width of grinding path)
The Surface Speed of Workpiece = The Number of Workpiece revolution*Workpiece removal parameter per unit time*Effective stiffness/(2*The Width of grinding path)

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