Spindle Speed Calculator

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✖Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).ⓘ Cutting Speed [V_cutting]			+10% -10%
✖The Diameter of Cutting Tool is the outer diameter of the cutting part of the tool.ⓘ Diameter of Cutting Tool [D_t]			+10% -10%

✖Spindle Speed is the speed of machine tool spindle given in revolutions per minute.ⓘ Spindle Speed [N]

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Formula

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Spindle Speed

Formula

`"N" = "V"_{"cutting"}*1000/(pi*"D"_{"t"})`

Example

`"28308.36rev/min"="66.7m/s"*1000/(pi*"45mm")`

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Download Material Science and Metallurgy Formula PDF

Spindle Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spindle Speed = Cutting Speed*1000/(pi*Diameter of Cutting Tool)
N = V_cutting*1000/(pi*D_t)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Spindle Speed - (Measured in Revolution per Minute) - Spindle Speed is the speed of machine tool spindle given in revolutions per minute.
Cutting Speed - (Measured in Meter per Minute) - Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).
Diameter of Cutting Tool - (Measured in Millimeter) - The Diameter of Cutting Tool is the outer diameter of the cutting part of the tool.

STEP 1: Convert Input(s) to Base Unit

Cutting Speed: 66.7 Meter per Second --> 4002 Meter per Minute (Check conversion here)
Diameter of Cutting Tool: 45 Millimeter --> 45 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = V_cutting*1000/(pi*D_t) --> 4002*1000/(pi*45)

Evaluating ... ...

N = 28308.3592112784

STEP 3: Convert Result to Output's Unit

2964.44444429349 Radian per Second -->28308.3592112784 Revolution per Minute (Check conversion here)

FINAL ANSWER

28308.3592112784 ≈ 28308.36 Revolution per Minute <-- Spindle Speed

(Calculation completed in 00.004 seconds)

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Created by Abhinav Gupta

Defence institute of advanced technology (DRDO) (DIAT), pune

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National Institute Of Technology (NIT), Hamirpur

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< 5 Parameters Calculators

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Spindle Speed Formula

Spindle Speed = Cutting Speed*1000/(pi*Diameter of Cutting Tool)
N = V_cutting*1000/(pi*D_t)

The effect of spindle speed

The effect of spindle speed on twist variation has also been studied by Subramanian and others.49 The twist density in the spinning zone was measured at spindle speeds of 6000, 7000 and 9000 rpm. For the same traveller number and yarn count, the twist density in the spinning zone, when winding at the shoulder of the chase, increases as the spindle speed decreases. When winding at the nose, the twist density remains almost unaltered, so that the difference between nose and shoulder twist densities is considerably less at a spindle speed of 6000 rpm than that at 9000 rpm.

Why does it always go with a Limiting spindle speed ?

At a certain diameter the spindle speed goes beyond the machine’s capability. At the axis of the part, in fact, the RPM would theoretically be infinity (D is zero). The machine however has a certain maximum spindle RPM, so in the CNC program we need to specify what this maximum is. This is specified as the Limiting spindle speed. When the spindle speed reaches this value, the controller clamps it at this speed and the rest of the motion is done at a constant spindle speed equal to the limiting speed.

How to Calculate Spindle Speed?

Spindle Speed calculator uses Spindle Speed = Cutting Speed*1000/(pi*Diameter of Cutting Tool) to calculate the Spindle Speed, The Spindle speed is the speed at which the cutting tool rotates, it is tool speed. Spindle Speed is denoted by N symbol.

How to calculate Spindle Speed using this online calculator? To use this online calculator for Spindle Speed, enter Cutting Speed (V_cutting) & Diameter of Cutting Tool (D_t) and hit the calculate button. Here is how the Spindle Speed calculation can be explained with given input values -> 270324.9 = 66.7*1000/(pi*0.045).

FAQ

What is Spindle Speed?

The Spindle speed is the speed at which the cutting tool rotates, it is tool speed and is represented as N = V_cutting*1000/(pi*D_t) or Spindle Speed = Cutting Speed*1000/(pi*Diameter of Cutting Tool). Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute) & The Diameter of Cutting Tool is the outer diameter of the cutting part of the tool.

How to calculate Spindle Speed?

The Spindle speed is the speed at which the cutting tool rotates, it is tool speed is calculated using Spindle Speed = Cutting Speed*1000/(pi*Diameter of Cutting Tool). To calculate Spindle Speed, you need Cutting Speed (V_cutting) & Diameter of Cutting Tool (D_t). With our tool, you need to enter the respective value for Cutting Speed & Diameter of Cutting Tool 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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