Feed given Roughness value Solution

STEP 0: Pre-Calculation Summary
Formula Used
Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value
f = 4*(cot(Kre)+cot(Kre'))*Ra
This formula uses 1 Functions, 4 Variables
Functions Used
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)
Variables Used
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.
Working Major Cutting-Edge Angle - (Measured in Radian) - The Working Major Cutting-edge Angle is that entire part of the cutting edge which commences at the point where the working cutting edge is zero.
Working Minor Cutting Edge - (Measured in Radian) - Working Minor Cutting Edge is the remainder of the cutting edge, where present, commences at the point on the cutting edge where is zero.
Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
STEP 1: Convert Input(s) to Base Unit
Working Major Cutting-Edge Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Working Minor Cutting Edge: 4.69 Degree --> 0.0818559419185187 Radian (Check conversion here)
Roughness Value: 0.017067 Millimeter --> 1.7067E-05 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = 4*(cot(Kre)+cot(Kre'))*Ra --> 4*(cot(0.785398163397301)+cot(0.0818559419185187))*1.7067E-05
Evaluating ... ...
f = 0.000900406218156016
STEP 3: Convert Result to Output's Unit
0.000900406218156016 Meter -->0.900406218156016 Millimeter (Check conversion here)
FINAL ANSWER
0.900406218156016 0.900406 Millimeter <-- Feed
(Calculation completed in 00.020 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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 given Roughness value Formula

Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value
f = 4*(cot(Kre)+cot(Kre'))*Ra

How does feed rate affect surface finish?

The study reveals that the surface roughness is directly influenced by the spindle speed and feed rate. It is observed that the surface roughness increases with increased feed rate and is higher at lower speeds and vice versa for all feed rates.

How to Calculate Feed given Roughness value?

Feed given Roughness value calculator uses Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value to calculate the Feed, The Feed given Roughness value formula is used to find the distance that the cutting tool advances along the length of the work for every revolution of the spindle. Feed is denoted by f symbol.

How to calculate Feed given Roughness value using this online calculator? To use this online calculator for Feed given Roughness value, enter Working Major Cutting-Edge Angle (Kre), Working Minor Cutting Edge (Kre') & Roughness Value (Ra) and hit the calculate button. Here is how the Feed given Roughness value calculation can be explained with given input values -> 900.4062 = 4*(cot(0.785398163397301)+cot(0.0818559419185187))*1.7067E-05.

FAQ

What is Feed given Roughness value?
The Feed given Roughness value formula is used to find the distance that the cutting tool advances along the length of the work for every revolution of the spindle and is represented as f = 4*(cot(Kre)+cot(Kre'))*Ra or Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value. The Working Major Cutting-edge Angle is that entire part of the cutting edge which commences at the point where the working cutting edge is zero, Working Minor Cutting Edge is the remainder of the cutting edge, where present, commences at the point on the cutting edge where is zero & Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
How to calculate Feed given Roughness value?
The Feed given Roughness value formula is used to find the distance that the cutting tool advances along the length of the work for every revolution of the spindle is calculated using Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value. To calculate Feed given Roughness value, you need Working Major Cutting-Edge Angle (Kre), Working Minor Cutting Edge (Kre') & Roughness Value (Ra). With our tool, you need to enter the respective value for Working Major Cutting-Edge Angle, Working Minor Cutting Edge & Roughness Value 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 Feed?
In this formula, Feed uses Working Major Cutting-Edge Angle, Working Minor Cutting Edge & Roughness Value. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)
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