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(θ)+cot(θ'))*R
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 as 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 the angle formed by the cutting edge, starting from the point where the cutting edge first engages with the workpiece.
Working Minor Cutting Edge - (Measured in Radian) - The Working Minor Cutting Edge is the portion of the cutting edge that extends from the end of the primary cutting edge to the point where it effectively has no cutting action.
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: 45.17097 Degree --> 0.788382152819435 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(θ)+cot(θ'))*R --> 4*(cot(0.788382152819435)+cot(0.0818559419185187))*1.7067E-05
Evaluating ... ...
f = 0.000900000007100108
STEP 3: Convert Result to Output's Unit
0.000900000007100108 Meter -->0.900000007100108 Millimeter (Check conversion ​here)
FINAL ANSWER
0.900000007100108 0.9 Millimeter <-- Feed
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Srinagar
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Feed given Roughness value Formula

​LaTeX ​Go
Feed = 4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value
f = 4*(cot(θ)+cot(θ'))*R

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 (θ), Working Minor Cutting Edge (θ') & Roughness Value (R) 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(0.788382152819435)+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(θ)+cot(θ'))*R or Feed = 4*(cot(Working Major Cutting Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value. The Working Major Cutting Edge Angle is the angle formed by the cutting edge, starting from the point where the cutting edge first engages with the workpiece, The Working Minor Cutting Edge is the portion of the cutting edge that extends from the end of the primary cutting edge to the point where it effectively has no cutting action & 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 (θ), Working Minor Cutting Edge (θ') & Roughness Value (R). 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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