Feed speed given Roughness value Solution

STEP 0: Pre-Calculation Summary
Formula Used
Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter
Vf = sqrt(Ra*dt/0.0642)*nt
This formula uses 1 Functions, 4 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
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
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
Roughness Value: 0.017067 Millimeter --> 1.7067E-05 Meter (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
Vf = sqrt(Ra*dt/0.0642)*nt --> sqrt(1.7067E-05*0.0418/0.0642)*30
Evaluating ... ...
Vf = 0.100004714842122
STEP 3: Convert Result to Output's Unit
0.100004714842122 Meter per Second -->100.004714842122 Millimeter per Second (Check conversion here)
FINAL ANSWER
100.004714842122 100.0047 Millimeter per Second <-- Feed Speed
(Calculation completed in 00.020 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Verified by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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17 Cutting Fluid 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)
Feed given Roughness Value and corner radius
Go Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)
Corner Radius given Roughness value
Go Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value
Roughness value given corner radius
Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool
Roughness value of tool
Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Feed speed given Roughness value Formula

Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter
Vf = sqrt(Ra*dt/0.0642)*nt

What is the difference between feed and speed?

1. Cutting speed is defined as the speed (usually in feet per minute) of a tool when it is cutting the work. 2. Feed rate is defined as the tool's distance traveled during one spindle revolution.

How to Calculate Feed speed given Roughness value?

Feed speed given Roughness value calculator uses Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter to calculate the Feed Speed, The Feed speed given Roughness value formula is used to find the velocity at which the cutter is fed, i.e. advanced against the workpiece. Feed Speed is denoted by Vf symbol.

How to calculate Feed speed given Roughness value using this online calculator? To use this online calculator for Feed speed given Roughness value, enter Roughness Value (Ra), Diameter of Cutter (dt) & Rotational Frequency of Cutter (nt) and hit the calculate button. Here is how the Feed speed given Roughness value calculation can be explained with given input values -> 100004.7 = sqrt(1.7067E-05*0.0418/0.0642)*30.

FAQ

What is Feed speed given Roughness value?
The Feed speed given Roughness value formula is used to find the velocity at which the cutter is fed, i.e. advanced against the workpiece and is represented as Vf = sqrt(Ra*dt/0.0642)*nt or Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter. Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates, 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 Feed speed given Roughness value?
The Feed speed given Roughness value formula is used to find the velocity at which the cutter is fed, i.e. advanced against the workpiece is calculated using Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter. To calculate Feed speed given Roughness value, you need Roughness Value (Ra), Diameter of Cutter (dt) & Rotational Frequency of Cutter (nt). With our tool, you need to enter the respective value for Roughness Value, 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.
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