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Machining Time given Cutting Speed Formula

GoMachining Time given Spindle Speed Formula

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Machining time is the total time required to remove material from a workpiece to achieve the desired dimensions and surface finish. Check FAQs

t = \frac{π \cdot D \cdot L}{f \cdot V}

t - Machining Time?D - Workpiece Diameter?L - Length of Bar?f - Feed Rate?V - Cutting Velocity?π - Archimedes' constant?

Machining Time given Cutting Speed Example

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With units

Only example

Here is how the Machining Time given Cutting Speed equation looks like with Values.

Here is how the Machining Time given Cutting Speed equation looks like with Units.

Here is how the Machining Time given Cutting Speed equation looks like.

1.1377 = \frac{3.1416 \cdot 0.0101 \cdot 3}{0.7 \cdot 120}

1.1377s = \frac{3.1416 \cdot 0.0101m \cdot 3m}{0.7mm/rev \cdot 120m/s}

1.1377 = \frac{3.1416 \cdot 0.0101 \cdot 3}{0.7 \cdot 120}

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Machining Time given Cutting Speed Solution

Follow our step by step solution on how to calculate Machining Time given Cutting Speed?

FIRST Step Consider the formula

t = \frac{π \cdot D \cdot L}{f \cdot V}

Next Step Substitute values of Variables

∴

t = \frac{π \cdot 0.0101m \cdot 3m}{0.7mm/rev \cdot 120m/s}

Next Step Substitute values of Constants

∴

t = \frac{3.1416 \cdot 0.0101m \cdot 3m}{0.7mm/rev \cdot 120m/s}

Next Step Convert Units

∴

t = \frac{3.1416 \cdot 0.0101m \cdot 3m}{0.0007m/rev \cdot 120m/s}

Next Step Prepare to Evaluate

∴

t = \frac{3.1416 \cdot 0.0101 \cdot 3}{0.0007 \cdot 120}

Next Step Evaluate

∴

t = 1.13770533955002s

LAST Step Rounding Answer

∴

t = 1.1377s

Machining Time given Cutting Speed Formula Elements

Variables

Constants

Machining Time

Machining time is the total time required to remove material from a workpiece to achieve the desired dimensions and surface finish.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Machining Time

Workpiece Diameter

Workpiece Diameter is the width of workpiece used in machining.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Workpiece Diameter

Length of Bar

length of bar refers to the overall length of the workpiece that is being machined.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Bar

Feed Rate

Feed rate refers to the distance that the cutting tool advances into the workpiece per unit of time or per revolution of the workpiece.

Symbol: f

Measurement: FeedUnit: mm/rev

Note: Value should be greater than 0.

Formulas to find Feed Rate

Cutting Velocity

Cutting velocity, cutting speed, it is the speed at which the cutting tool engages the workpiece material, directly impacting the efficiency, quality, and economics of the machining process.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Machining Time

Go Machining Time given Spindle Speed

t = \frac{L}{f \cdot N}

Other formulas in Mechanics of Orthogonal Cutting category

Go Cutting Speed given Spindle Speed

V = π \cdot D \cdot N

Go Surface Finish Constraint

C = \frac{0.0321}{r nose}

Go Nose Radius of Tool from Surface Finish Constraint

r nose = \frac{0.0321}{C}

Go Cutting Speed from Tool Temperature

V = {(\frac{θ \cdot k^{0.44} \cdot c^{0.56}}{C 0 \cdot U s \cdot A^{0.22}})}^{\frac{100}{44}}

How to Evaluate Machining Time given Cutting Speed?

Machining Time given Cutting Speed evaluator uses Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity) to evaluate the Machining Time, Machining Time given Cutting Speed is defined as the time required to complete a particular machining operation. Machining Time is denoted by t symbol.

How to evaluate Machining Time given Cutting Speed using this online evaluator? To use this online evaluator for Machining Time given Cutting Speed, enter Workpiece Diameter (D), Length of Bar (L), Feed Rate (f) & Cutting Velocity (V) and hit the calculate button.

FAQs on Machining Time given Cutting Speed

What is the formula to find Machining Time given Cutting Speed?

The formula of Machining Time given Cutting Speed is expressed as Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity). Here is an example- 1.137705 = (pi*0.01014*3)/(0.0007*120).

How to calculate Machining Time given Cutting Speed?

With Workpiece Diameter (D), Length of Bar (L), Feed Rate (f) & Cutting Velocity (V) we can find Machining Time given Cutting Speed using the formula - Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity). This formula also uses Archimedes' constant .

What are the other ways to Calculate Machining Time?

Here are the different ways to Calculate Machining Time-

Machining Time=Length of Bar/(Feed Rate*Spindle Speed)

Can the Machining Time given Cutting Speed be negative?

No, the Machining Time given Cutting Speed, measured in Time cannot be negative.

Which unit is used to measure Machining Time given Cutting Speed?

Machining Time given Cutting Speed is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Machining Time given Cutting Speed can be measured.

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Machining Time given Cutting Speed Formula

​GoMachining Time given Spindle Speed Formula

Machining Time given Cutting Speed Example

Machining Time given Cutting Speed Solution

Machining Time given Cutting Speed Formula Elements

Other Formulas to find Machining Time

Other formulas in Mechanics of Orthogonal Cutting category

How to Evaluate Machining Time given Cutting Speed?

FAQs on Machining Time given Cutting Speed

Variable Name

GoMachining Time given Spindle Speed Formula