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Feed Speed given Roughness Value Formula

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Feed Speed is the feed given against a workpiece per unit time. Check FAQs

V f = \sqrt{R \cdot \frac{d t}{0.0642}} \cdot ω c

V_f - Feed Speed?R - Roughness Value?d_t - Diameter of Cutter?ω_c - Rotational Frequency of Cutter?

Feed Speed given Roughness Value Example

With values

With units

Only example

Here is how the Feed Speed given Roughness Value equation looks like with Values.

Here is how the Feed Speed given Roughness Value equation looks like with Units.

Here is how the Feed Speed given Roughness Value equation looks like.

100.0047 = \sqrt{0.0171 \cdot \frac{41.8}{0.0642}} \cdot 30

100.0047mm/s = \sqrt{0.0171mm \cdot \frac{41.8mm}{0.0642}} \cdot 30Hz

100.0047 = \sqrt{0.0171 \cdot \frac{41.8}{0.0642}} \cdot 30

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Feed Speed given Roughness Value Solution

Follow our step by step solution on how to calculate Feed Speed given Roughness Value?

FIRST Step Consider the formula

V f = \sqrt{R \cdot \frac{d t}{0.0642}} \cdot ω c

Next Step Substitute values of Variables

∴

V f = \sqrt{0.0171mm \cdot \frac{41.8mm}{0.0642}} \cdot 30Hz

Next Step Convert Units

∴

V f = \sqrt{1.7E-5m \cdot \frac{0.0418m}{0.0642}} \cdot 30Hz

Next Step Prepare to Evaluate

∴

V f = \sqrt{1.7E-5 \cdot \frac{0.0418}{0.0642}} \cdot 30

Next Step Evaluate

∴

V f = 0.100004714842122m/s

Next Step Convert to Output's Unit

∴

V f = 100.004714842122mm/s

LAST Step Rounding Answer

∴

V f = 100.0047mm/s

Feed Speed given Roughness Value Formula Elements

Variables

Functions

Feed Speed

Feed Speed is the feed given against a workpiece per unit time.

Symbol: V_f

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Feed Speed

Roughness Value

Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roughness Value

Diameter of Cutter

The Diameter of Cutter is defined as the actual diameter of the cutter being used.

Symbol: d_t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Cutter

Rotational Frequency of Cutter

Rotational Frequency of Cutter known as radial or circular frequency measures angular displacement per unit time.

Symbol: ω_c

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Rotational Frequency of Cutter

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.

Syntax: sqrt(Number)

Other formulas in Cutting Force and Surface Roughness category

Go Cutting Force given Rate of Energy Consumption during Machining

F c = \frac{Q c}{V c}

Go Cutting Force given Specific Cutting Energy in Machining

F c = Q sc \cdot A cs

Go Force required to remove Chip and Acting on Tool Face

F r = F rc - F p

Go Resultant Cutting Force using Force required to remove Chip

F rc = F r + F p

How to Evaluate Feed Speed given Roughness Value?

Feed Speed given Roughness Value evaluator uses Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter to evaluate 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 V_f symbol.

How to evaluate Feed Speed given Roughness Value using this online evaluator? To use this online evaluator for Feed Speed given Roughness Value, enter Roughness Value (R), Diameter of Cutter (d_t) & Rotational Frequency of Cutter (ω_c) and hit the calculate button.

FAQs on Feed Speed given Roughness Value

What is the formula to find Feed Speed given Roughness Value?

The formula of Feed Speed given Roughness Value is expressed as Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter. Here is an example- 100004.7 = sqrt(1.7067E-05*0.0418/0.0642)*30.

How to calculate Feed Speed given Roughness Value?

With Roughness Value (R), Diameter of Cutter (d_t) & Rotational Frequency of Cutter (ω_c) we can find Feed Speed given Roughness Value using the formula - Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter. This formula also uses Square Root (sqrt) function(s).

Can the Feed Speed given Roughness Value be negative?

No, the Feed Speed given Roughness Value, measured in Speed cannot be negative.

Which unit is used to measure Feed Speed given Roughness Value?

Feed Speed given Roughness Value is usually measured using the Millimeter per Second[mm/s] for Speed. Meter per Second[mm/s], Meter per Minute[mm/s], Meter per Hour[mm/s] are the few other units in which Feed Speed given Roughness Value can be measured.

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Feed Speed given Roughness Value Formula

Feed Speed given Roughness Value Example

Feed Speed given Roughness Value Solution

Feed Speed given Roughness Value Formula Elements

Other formulas in Cutting Force and Surface Roughness category

How to Evaluate Feed Speed given Roughness Value?

FAQs on Feed Speed given Roughness Value

Variable Name