Rotational Frequency of Spindle given Instantaneous Radius for Cut Calculator

✖Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.ⓘ Outside Radius of the Workpiece [r_o]			+10% -10%
✖Instantaneous Radius for Cut is the radius of the workpiece surface currently being machined.ⓘ Instantaneous Radius for Cut [r]			+10% -10%
✖Process Time is the time for which any Process has been carried out irrespective of its completion.ⓘ Process Time [t′]			+10% -10%
✖The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f]			+10% -10%

✖Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second.ⓘ Rotational Frequency of Spindle given Instantaneous Radius for Cut [n_s]

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Formula

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Rotational Frequency of Spindle given Instantaneous Radius for Cut

Formula

`"n"_{"s"} = ("r"_{"o"}-"r")/("t′"*"f")`

Example

`"10Hz"=("984mm"-"120mm")/("1.6min"*"0.9mm")`

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Rotational Frequency of Spindle given Instantaneous Radius for Cut Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotational Frequency of Spindle = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Process Time*Feed)
n_s = (r_o-r)/(t′*f)
This formula uses 5 Variables

Variables Used

Rotational Frequency of Spindle - (Measured in Hertz) - Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second.
Outside Radius of the Workpiece - (Measured in Meter) - Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.
Instantaneous Radius for Cut - (Measured in Meter) - Instantaneous Radius for Cut is the radius of the workpiece surface currently being machined.
Process Time - (Measured in Second) - Process Time is the time for which any Process has been carried out irrespective of its completion.
Feed - (Measured in Meter) - The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.

STEP 1: Convert Input(s) to Base Unit

Outside Radius of the Workpiece: 984 Millimeter --> 0.984 Meter (Check conversion here)
Instantaneous Radius for Cut: 120 Millimeter --> 0.12 Meter (Check conversion here)
Process Time: 1.6 Minute --> 96 Second (Check conversion here)
Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_s = (r_o-r)/(t′*f) --> (0.984-0.12)/(96*0.0009)

Evaluating ... ...

n_s = 10

STEP 3: Convert Result to Output's Unit

10 Hertz --> No Conversion Required

FINAL ANSWER

10 Hertz <-- Rotational Frequency of Spindle

(Calculation completed in 00.004 seconds)

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< 11 Instantaneous Radius Calculators

Outside Radius of Workpiece given Optimum Spindle Speed

Go Outside Radius of the Workpiece = (Reference Cutting Velocity/(2*pi*Rotational Frequency of Spindle))*((((1+Taylor's Tool Life Exponent)*Cost of a Tool*Reference Tool Life*(1-Workpiece Radius Ratio))/((1-Taylor's Tool Life Exponent)*(Cost of a Tool*Time to Change One Tool+Cost of a Tool)*(1-(Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))))^Taylor's Tool Life Exponent)

Instantaneous Radius for Cut given Rate of Increase of Wear-Land

Go Instantaneous Radius For Cut = (Reference Cutting Velocity*((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent))/(2*pi*Rotational Frequency of Spindle)

Outside Radius of Workpiece given Instantaneous Cutting Speed

Go Outside Radius of the Workpiece = (Cutting Velocity/(2*pi*Rotational Frequency of Spindle))+Rotational Frequency of Spindle*Feed*Process Time

Rotational Frequency of Spindle given Instantaneous Radius for Cut

Go Rotational Frequency of Spindle = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Process Time*Feed)

Feed given Instantaneous Radius for Cut

Go Feed = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Rotational Frequency of Spindle*Process Time)

Outside Radius of Workpiece given Instantaneous Radius for Cut

Go Outside Radius of the Workpiece = Instantaneous Radius for Cut+Rotational Frequency of Spindle*Feed*Process Time

Instantaneous Radius for Cut

Go Instantaneous Radius For Cut = Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time

Instantaneous Radius for Cut given Cutting Speed

Go Instantaneous Radius For Cut = Cutting Velocity/(2*pi*Rotational Frequency of Spindle)

Outside Radius given Workpiece Radius Ratio

Go Outside Radius of the Workpiece = Inner Radius of Workpiece/Workpiece Radius Ratio

Inside Radius given Workpiece Radius Ratio

Go Inner Radius of Workpiece = Workpiece Radius Ratio*Outside Radius of the Workpiece

Workpiece Radius Ratio

Go Workpiece Radius Ratio = Inner Radius of Workpiece/Outside Radius of the Workpiece

Rotational Frequency of Spindle given Instantaneous Radius for Cut Formula

Rotational Frequency of Spindle = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Process Time*Feed)
n_s = (r_o-r)/(t′*f)

Main Spindle Errors

Accuracy of spindle error measurement is affected by inherent error sources such as:
1. Sensor offset
2. Thermal drift of spindle
3. Centering error
4. Form error of the target surface installed in the spindle.

How to Calculate Rotational Frequency of Spindle given Instantaneous Radius for Cut?

Rotational Frequency of Spindle given Instantaneous Radius for Cut calculator uses Rotational Frequency of Spindle = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Process Time*Feed) to calculate the Rotational Frequency of Spindle, The Rotational Frequency of Spindle given Instantaneous Radius for Cut is a method to determine the required frequency of rotation of the Spindle of a Machining Tool for a given Cutting Radius of Workpiece. Rotational Frequency of Spindle is denoted by n_s symbol.

How to calculate Rotational Frequency of Spindle given Instantaneous Radius for Cut using this online calculator? To use this online calculator for Rotational Frequency of Spindle given Instantaneous Radius for Cut, enter Outside Radius of the Workpiece (r_o), Instantaneous Radius for Cut (r), Process Time (t′) & Feed (f) and hit the calculate button. Here is how the Rotational Frequency of Spindle given Instantaneous Radius for Cut calculation can be explained with given input values -> 10.18519 = (0.984-0.12)/(96*0.0009).

FAQ

What is Rotational Frequency of Spindle given Instantaneous Radius for Cut?

The Rotational Frequency of Spindle given Instantaneous Radius for Cut is a method to determine the required frequency of rotation of the Spindle of a Machining Tool for a given Cutting Radius of Workpiece and is represented as n_s = (r_o-r)/(t′*f) or Rotational Frequency of Spindle = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Process Time*Feed). Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool, Instantaneous Radius for Cut is the radius of the workpiece surface currently being machined, Process Time is the time for which any Process has been carried out irrespective of its completion & The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.

How to calculate Rotational Frequency of Spindle given Instantaneous Radius for Cut?

The Rotational Frequency of Spindle given Instantaneous Radius for Cut is a method to determine the required frequency of rotation of the Spindle of a Machining Tool for a given Cutting Radius of Workpiece is calculated using Rotational Frequency of Spindle = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Process Time*Feed). To calculate Rotational Frequency of Spindle given Instantaneous Radius for Cut, you need Outside Radius of the Workpiece (r_o), Instantaneous Radius for Cut (r), Process Time (t′) & Feed (f). With our tool, you need to enter the respective value for Outside Radius of the Workpiece, Instantaneous Radius for Cut, Process Time & Feed 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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