Diameter of Cutter given Roughness Value Calculator

✖Feed Speed is the feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+10% -10%
✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R]			+10% -10%
✖Rotational Frequency of Cutter known as radial or circular frequency measures angular displacement per unit time.ⓘ Rotational Frequency of Cutter [ω_c]			+10% -10%

✖The Diameter of Cutter is defined as the actual diameter of the cutter being used.ⓘ Diameter of Cutter given Roughness Value [d_t]

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Diameter of Cutter given Roughness Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Diameter of Cutter - (Measured in Meter) - The Diameter of Cutter is defined as the actual diameter of the cutter being 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.
Rotational Frequency of Cutter - (Measured in Hertz) - 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)
Roughness Value: 0.017067 Millimeter --> 1.7067E-05 Meter (Check conversion here)
Rotational Frequency of Cutter: 30 Hertz --> 30 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_t = (0.0642*(V_f)^2)/(R*(ω_c)^2) --> (0.0642*(0.1)^2)/(1.7067E-05*(30)^2)

Evaluating ... ...

d_t = 0.0417960586707291

STEP 3: Convert Result to Output's Unit

0.0417960586707291 Meter -->41.7960586707291 Millimeter (Check conversion here)

FINAL ANSWER

41.7960586707291 ≈ 41.79606 Millimeter <-- Diameter of Cutter

(Calculation completed in 00.004 seconds)

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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

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Diameter of Cutter given Roughness Value Formula

LaTeX Go

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

What is the difference between feed rate, cutting speed and depth of cut?

Cutting speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute). Feed rate is defined as the distance the tool travels during one revolution of the part. Cutting speed and feed determines the surface finish, power requirements, and material removal rate. The primary factor in choosing feed and speed is the material to be cut.

How to Calculate Diameter of Cutter given Roughness Value?

Diameter of Cutter given Roughness Value calculator uses Diameter of Cutter = (0.0642*(Feed Speed)^2)/(Roughness Value*(Rotational Frequency of Cutter)^2) to calculate the Diameter of Cutter, The Diameter of Cutter given Roughness Value is defined as the actual diameter of the cutter used in the metal cutting operation. Diameter of Cutter is denoted by d_t symbol.

How to calculate Diameter of Cutter given Roughness Value using this online calculator? To use this online calculator for Diameter of Cutter given Roughness Value, enter Feed Speed (V_f), Roughness Value (R) & Rotational Frequency of Cutter (ω_c) and hit the calculate button. Here is how the Diameter of Cutter given Roughness Value calculation can be explained with given input values -> 41796.06 = (0.0642*(0.1)^2)/(1.7067E-05*(30)^2).

FAQ

What is Diameter of Cutter given Roughness Value?

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

How to calculate Diameter of Cutter given Roughness Value?

The Diameter of Cutter given Roughness Value is defined as the actual diameter of the cutter used in the metal cutting operation is calculated using Diameter of Cutter = (0.0642*(Feed Speed)^2)/(Roughness Value*(Rotational Frequency of Cutter)^2). To calculate Diameter of Cutter given Roughness Value, you need Feed Speed (V_f), Roughness Value (R) & Rotational Frequency of Cutter (ω_c). With our tool, you need to enter the respective value for Feed Speed, Roughness Value & 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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