✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [v_c]			+10% -10%
✖Cutting Speed Angle is the angle between the direction of primary motion of the tool and resultant cutting direction.ⓘ Cutting Speed Angle [η]			+10% -10%

✖Resultant Cutting Velocity is the result from simultaneous primary tool velocity and feed velocity given to the tool during machining.ⓘ Resultant Cutting Velocity [V_r]

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Formula

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Resultant Cutting Velocity

Formula

`"V"_{"r"} = "v"_{"c"}/cos(("η"))`

Example

`"2.309401m/s"="2m/s"/cos(("30°"))`

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Resultant Cutting Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle))
V_r = v_c/cos((η))
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Resultant Cutting Velocity - (Measured in Meter per Second) - Resultant Cutting Velocity is the result from simultaneous primary tool velocity and feed velocity given to the tool during machining.
Cutting Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Cutting Speed Angle - (Measured in Radian) - Cutting Speed Angle is the angle between the direction of primary motion of the tool and resultant cutting direction.

STEP 1: Convert Input(s) to Base Unit

Cutting Velocity: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Cutting Speed Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_r = v_c/cos((η)) --> 2/cos((0.5235987755982))

Evaluating ... ...

V_r = 2.3094010767585

STEP 3: Convert Result to Output's Unit

2.3094010767585 Meter per Second --> No Conversion Required

FINAL ANSWER

2.3094010767585 ≈ 2.309401 Meter per Second <-- Resultant Cutting Velocity

(Calculation completed in 00.020 seconds)

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< 13 Cutting Velocity Calculators

Cutting Velocity for given Taylor's Tool Life

Go Cut Velocity = Taylors Intercept or Taylor's Constant/((Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)*(Feed Rate in Cutting Velocity^Taylors Exponent For Feed Rate in Cutting Velocity)*(Cut Depth^Taylor's Exponent in Cutting Velocity))

Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions

Go Taylors Tool Life Exponent in Cutting Velocity = (-1)*ln(Cut Velocity/Reference Cutting Velocity in Cutting Velocity)/ln(Tool Life in Cutting Velocity/Reference Tool Life in Cutting Velocity)

Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition

Go Reference Cutting Velocity in Cutting Velocity = Cut Velocity/((Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity)

Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition

Go Cut Velocity = Reference Cutting Velocity in Cutting Velocity*(Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity

Taylor's Intercept given Cutting Velocity and Taylor's Tool Life

Go Taylors Intercept or Taylor's Constant = Taylor Cutting Velocity*(Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)

Cutting Velocity using Taylor's Tool Life and Intercept

Go Taylor Cutting Velocity = Taylors Intercept or Taylor's Constant/(Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)

Cutting Velocity for given Tool Life and Volume of Metal Removed

Go Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth)

Resultant Cutting Velocity

Go Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle))

Cutting Speed of Free-Cutting Steel given Cutting Velocity of Tool and Machinability Index

Go Cutting Speed of Free-Cutting Steel = Cut Velocity*100/Machinability Index of A Material

Cutting Velocity using Machinability Index

Go Cut Velocity = Machinability Index of A Material*Cutting Speed of Free-Cutting Steel/100

Machinability Index

Go Machinability Index of A Material = Cut Velocity*100/Cutting Speed of Free-Cutting Steel

Feed for Sintered-Carbide Tools using Crater Depth

Go Feed Rate in Cutting Velocity = (Tool Wear Crater Depth-0.06)/0.3

Crater Depth for Sintered-Carbide Tools

Go Tool Wear Crater Depth = 0.06+0.3*Feed Rate in Cutting Velocity

Resultant Cutting Velocity Formula

Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle))
V_r = v_c/cos((η))

When is Resultant Cutting Velocity used ?

The Resultant Cutting Velocity is generated only when the Machine Tool is engaged with the Workpiece.
The Resultant Cutting Velocity varies with variation in Cutting Velocity and Feed Rate along the Length of Cut usually due to uneven surfaces or Taper Turning.

How to Calculate Resultant Cutting Velocity?

Resultant Cutting Velocity calculator uses Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle)) to calculate the Resultant Cutting Velocity, Resultant Cutting Velocity is the resultant velocity from simultaneous Primary Tool Velocity and Feed Velocity, given to the Tool during Machining. Under ideal conditions, it is taken considered to be the same as Cutting Velocity. Resultant Cutting Velocity is denoted by V_r symbol.

How to calculate Resultant Cutting Velocity using this online calculator? To use this online calculator for Resultant Cutting Velocity, enter Cutting Velocity (v_c) & Cutting Speed Angle (η) and hit the calculate button. Here is how the Resultant Cutting Velocity calculation can be explained with given input values -> 2.309401 = 2/cos((0.5235987755982)).

FAQ

What is Resultant Cutting Velocity?

Resultant Cutting Velocity is the resultant velocity from simultaneous Primary Tool Velocity and Feed Velocity, given to the Tool during Machining. Under ideal conditions, it is taken considered to be the same as Cutting Velocity and is represented as V_r = v_c/cos((η)) or Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle)). The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & Cutting Speed Angle is the angle between the direction of primary motion of the tool and resultant cutting direction.

How to calculate Resultant Cutting Velocity?

Resultant Cutting Velocity is the resultant velocity from simultaneous Primary Tool Velocity and Feed Velocity, given to the Tool during Machining. Under ideal conditions, it is taken considered to be the same as Cutting Velocity is calculated using Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle)). To calculate Resultant Cutting Velocity, you need Cutting Velocity (v_c) & Cutting Speed Angle (η). With our tool, you need to enter the respective value for Cutting Velocity & Cutting Speed Angle 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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