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%
✖Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.ⓘ Constant for particular grinding wheel [K]			+10% -10%
✖The 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%

✖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]

⎘ Copy

👎

Formula

✖

Surface speed of workpiece given constant for grinding wheel

Formula

`"v"_{"w"} = ("a"_{"cmax"}^2)*"v"_{"t"}/("K"*sqrt("f"_{"in"}))`

Example

`"0.002268mm/s"=(("6mm")^2)*"4.8mm/s"/("2.54"*sqrt("0.9mm"))`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Surface speed of workpiece given constant for grinding wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Constant for particular grinding wheel*sqrt(Feed))
v_w = (a_cmax^2)*v_t/(K*sqrt(f_in))
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

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.
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.
Constant for particular grinding wheel - Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.
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: 6 Millimeter --> 0.006 Meter (Check conversion here)
Surface Speed of Wheel: 4.8 Millimeter per Second --> 0.0048 Meter per Second (Check conversion here)
Constant for particular grinding wheel: 2.54 --> No Conversion Required
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*sqrt(f_in)) --> (0.006^2)*0.0048/(2.54*sqrt(0.0009))

Evaluating ... ...

v_w = 2.26771653543307E-06

STEP 3: Convert Result to Output's Unit

2.26771653543307E-06 Meter per Second -->0.00226771653543307 Millimeter per Second (Check conversion here)

FINAL ANSWER

0.00226771653543307 ≈ 0.002268 Millimeter per Second <-- Surface Speed of Workpiece

(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 » Workpiece » Surface speed of workpiece given constant for grinding wheel

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!

< 14 Workpiece Calculators

Diameter of workpiece given feed and machine infeed speed

Go Diameter of Workpiece = Workpiece removal parameter*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/Wheel Removal Parameter

Surface speed of workpiece given constant for grinding wheel

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

Workpiece diameter given equivalent wheel diameter

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

Workpiece removal parameter given number of workpiece revolution

Go Workpiece removal parameter = 2*Surface Speed of Workpiece*Width of Grinding Path/(Number of Workpiece revolution*Effective stiffness)

Workpiece surface speed given number of workpiece revolutions

Go Surface Speed of Workpiece = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Width of Grinding Path)

Width of Grinding path given number of workpiece revolutions

Go Width of Grinding Path = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Surface Speed of Workpiece)

System stiffness given Number of workpiece revolution

Go Effective stiffness = 2*Surface Speed of Workpiece*Width of Grinding Path/(Workpiece removal parameter*Number of Workpiece revolution)

Number of workpiece revolution

Go Number of Workpiece revolution = 2*Surface Speed of Workpiece*Width of Grinding Path/(Workpiece removal parameter*Effective stiffness)

Diameter of workpiece given Metal removal rate

Go Diameter of Workpiece = Metal removal rate/(Feed Speed*pi*Width of Grinding Path)

Surface Speed of workpiece given Metal removal rate during grinding

Go Surface Speed of Workpiece = Material Removal Rate/(Feed*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 Number of Workpiece revolution = Time taken for spark-out operation*Rotational Frequency

Rotational frequency of workpiece given Number of workpiece revolution

Go Rotational Frequency = 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)*100

Surface speed of workpiece given constant for grinding wheel Formula

Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Constant for particular grinding wheel*sqrt(Feed))
v_w = (a_cmax^2)*v_t/(K*sqrt(f_in))

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 Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Constant for particular grinding wheel*sqrt(Feed)) to calculate 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. 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), Constant for particular grinding wheel (K) & Feed (f_in) 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 -> 2.267717 = (0.006^2)*0.0048/(2.54*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*sqrt(f_in)) or Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Constant for particular grinding wheel*sqrt(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, 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 Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Constant for particular grinding wheel*sqrt(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), Constant for particular grinding wheel (K) & Feed (f_in). With our tool, you need to enter the respective value for Maximum Undeformed Chip Thickness, Surface Speed of Wheel, Constant for particular grinding wheel & 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 Surface Speed of Workpiece?

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

Surface Speed of Workpiece = Material Removal Rate/(Feed*Width of Grinding Path)
Surface Speed of Workpiece = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Width of Grinding Path)

Home

FREE PDFs

🔍 Search