Rotational Frequency of Cutter given Roughness Value Calculator

✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R]			+10% -10%
✖The Diameter of Cutter is defined as the actual diameter of the cutter being used.ⓘ Diameter of Cutter [d_t]			+10% -10%
✖Feed Speed is the feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+10% -10%

✖Rotational Frequency of Cutter known as radial or circular frequency measures angular displacement per unit time.ⓘ Rotational Frequency of Cutter given Roughness Value [ω_c]

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Rotational Frequency of Cutter given Roughness Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Rotational Frequency of Cutter - (Measured in Hertz) - Rotational Frequency of Cutter known as radial or circular frequency measures angular displacement 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.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the feed given against a workpiece 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)
Feed Speed: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_c = sqrt(0.0642/(R*d_t))*V_f --> sqrt(0.0642/(1.7067E-05*0.0418))*0.1

Evaluating ... ...

ω_c = 29.9985856140494

STEP 3: Convert Result to Output's Unit

29.9985856140494 Hertz --> No Conversion Required

FINAL ANSWER

29.9985856140494 ≈ 29.99859 Hertz <-- Rotational Frequency of Cutter

(Calculation completed in 00.004 seconds)

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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

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< Cutting Force and Surface Roughness Calculators

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Rotational Frequency of Cutter given Roughness Value Formula

LaTeX Go

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

How roughness is measured?

With a contact-type roughness meter, surface roughness is measured by tracing the probe across the surface of the target. In contrast, a laser-based non-contact roughness meter emits a laser beam onto the target and detects the reflected light to measure the roughness.

How to Calculate Rotational Frequency of Cutter given Roughness Value?

Rotational Frequency of Cutter given Roughness Value calculator uses Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed to calculate the Rotational Frequency of Cutter, Rotational Frequency of Cutter given Roughness Value formula measures angular displacement of the cutter per unit time, also known as radial or circular frequency. Rotational Frequency of Cutter is denoted by ω_c symbol.

How to calculate Rotational Frequency of Cutter given Roughness Value using this online calculator? To use this online calculator for Rotational Frequency of Cutter given Roughness Value, enter Roughness Value (R), Diameter of Cutter (d_t) & Feed Speed (V_f) and hit the calculate button. Here is how the Rotational Frequency of Cutter given Roughness Value calculation can be explained with given input values -> 29.99859 = sqrt(0.0642/(1.7067E-05*0.0418))*0.1.

FAQ

What is Rotational Frequency of Cutter given Roughness Value?

Rotational Frequency of Cutter given Roughness Value formula measures angular displacement of the cutter per unit time, also known as radial or circular frequency and is represented as ω_c = sqrt(0.0642/(R*d_t))*V_f or Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed. 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 & Feed Speed is the feed given against a workpiece per unit time.

How to calculate Rotational Frequency of Cutter given Roughness Value?

Rotational Frequency of Cutter given Roughness Value formula measures angular displacement of the cutter per unit time, also known as radial or circular frequency is calculated using Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed. To calculate Rotational Frequency of Cutter given Roughness Value, you need Roughness Value (R), Diameter of Cutter (d_t) & Feed Speed (V_f). With our tool, you need to enter the respective value for Roughness Value, Diameter of Cutter & Feed Speed 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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