Roughness value given feed speed Calculator

✖Feed Speed is the Feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+10% -10%
✖The Diameter of Cutter is defined as the actual diameter of the cutter being used.ⓘ Diameter of Cutter [d_t]			+10% -10%
✖The Rotational Frequency of Cutter known as radial or circular frequency measures angular displacement per unit time.ⓘ Rotational Frequency of Cutter [n_t]			+10% -10%

✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness value given feed speed [R_a]

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Formula

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Roughness value given feed speed

Formula

`"R"_{"a"} = (0.0642*("V"_{"f"})^2)/("d"_{"t"}*("n"_{"t"})^2)`

Example

`"0.017065mm"=(0.0642*("100mm/s")^2)/("41.8mm"*("30Hz")^2)`

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Roughness value given feed speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)
R_a = (0.0642*(V_f)^2)/(d_t*(n_t)^2)
This formula uses 4 Variables

Variables Used

Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Diameter of Cutter - (Measured in Meter) - The Diameter of Cutter is defined as the actual diameter of the cutter being used.
Rotational Frequency of Cutter - (Measured in Hertz) - The Rotational Frequency of Cutter known as radial or circular frequency measures angular displacement per unit time.

STEP 1: Convert Input(s) to Base Unit

Feed Speed: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)
Diameter of Cutter: 41.8 Millimeter --> 0.0418 Meter (Check conversion here)
Rotational Frequency of Cutter: 30 Hertz --> 30 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_a = (0.0642*(V_f)^2)/(d_t*(n_t)^2) --> (0.0642*(0.1)^2)/(0.0418*(30)^2)

Evaluating ... ...

R_a = 1.70653907496013E-05

STEP 3: Convert Result to Output's Unit

1.70653907496013E-05 Meter -->0.0170653907496013 Millimeter (Check conversion here)

FINAL ANSWER

0.0170653907496013 ≈ 0.017065 Millimeter <-- Roughness Value

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Cutting Force and Surface Roughness » Roughness value given feed speed

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!

< 21 Cutting Force and Surface Roughness Calculators

Frictional Force required to continuously shear junction between surfaces

Go Force of Friction = Real Area of Contact*((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))

Shear Strength of Softer Lubricant layer given Frictional force

Go Shear Strength of Softer Lubricant Layer = ((Force of Friction/Real Area of Contact)-(Proportion of Area of Metallic Contact*Shear Strength of Softer Metal))/(1-Proportion of Area of Metallic Contact)

Area of contact given Frictional Force

Go Real Area of Contact = Force of Friction/((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))

Proportion of Area in which metallic contact occurs given Frictional Force

Go Proportion of Area of Metallic Contact = ((Force of Friction/Real Area of Contact)-Shear Strength of Softer Lubricant Layer)/(Shear Strength of Softer Metal-Shear Strength of Softer Lubricant Layer)

Shear Strength of Softer Metal given Frictional force

Go Shear Strength of Softer Metal = ((Force of Friction/Real Area of Contact)-(1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)/Proportion of Area of Metallic Contact

Working major cutting edge Angle given Roughness value

Go Working Major Cutting-Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge)))

Working minor cutting edge Angle given Roughness value

Go Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting-Edge Angle)))

Roughness Value

Go Roughness Value = Feed/(4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge)))

Feed given Roughness value

Go Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value

Rotational Frequency of Cutter given Roughness Value

Go Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed

Feed speed given Roughness value

Go Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter

Diameter of Cutter given Roughness Value

Go Diameter of Cutter = (0.0642*(Feed Speed)^2)/(Roughness Value*(Rotational Frequency of Cutter)^2)

Roughness value given feed speed

Go Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)

Cutting Force given Specific Cutting Energy in Machining

Go Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip

Cutting Force given Rate of Energy Consumption during Machining

Go Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed

Resultant Cutting Force using Force required to remove Chip

Go Resultant Cutting Force = Force Required to Remove Chip+Plowing Force

Force required to remove Chip and acting on Tool Face

Go Force Required to Remove Chip = Resultant Cutting Force-Plowing Force

Feed given Roughness Value and corner radius

Go Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)

Roughness value given corner radius

Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Corner Radius given Roughness value

Go Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value

Roughness value of tool

Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Roughness value given feed speed Formula

Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)
R_a = (0.0642*(V_f)^2)/(d_t*(n_t)^2)

What is RA value surface roughness?

Ra value. Surface roughness is a measure of the texture of a surface. It is quantified by the vertical deviations of a real surface from its ideal form. If these deviations are great, the surface is rough, if they are small, the surface is smooth.

How to Calculate Roughness value given feed speed?

Roughness value given feed speed calculator uses Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2) to calculate the Roughness Value, The Roughness value given feed speed is the arithmetic average of the absolute values of the roughness profile ordinates. Roughness Value is denoted by R_a symbol.

How to calculate Roughness value given feed speed using this online calculator? To use this online calculator for Roughness value given feed speed, enter Feed Speed (V_f), Diameter of Cutter (d_t) & Rotational Frequency of Cutter (n_t) and hit the calculate button. Here is how the Roughness value given feed speed calculation can be explained with given input values -> 1.7E+7 = (0.0642*(0.1)^2)/(0.0418*(30)^2).

FAQ

What is Roughness value given feed speed?

The Roughness value given feed speed is the arithmetic average of the absolute values of the roughness profile ordinates and is represented as R_a = (0.0642*(V_f)^2)/(d_t*(n_t)^2) or Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2). Feed Speed is the Feed given against a workpiece per unit time, The Diameter of Cutter is defined as the actual diameter of the cutter being used & The Rotational Frequency of Cutter known as radial or circular frequency measures angular displacement per unit time.

How to calculate Roughness value given feed speed?

The Roughness value given feed speed is the arithmetic average of the absolute values of the roughness profile ordinates is calculated using Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2). To calculate Roughness value given feed speed, you need Feed Speed (V_f), Diameter of Cutter (d_t) & Rotational Frequency of Cutter (n_t). With our tool, you need to enter the respective value for Feed Speed, Diameter of Cutter & Rotational Frequency of Cutter 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 Roughness Value?

In this formula, Roughness Value uses Feed Speed, Diameter of Cutter & Rotational Frequency of Cutter. We can use 3 other way(s) to calculate the same, which is/are as follows -

Roughness Value = Feed/(4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge)))
Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool
Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

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