Rotational Frequency of Spindle given Cutting Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rotational Frequency of Spindle = Cutting Velocity/(2*pi*Instantaneous Radius for Cut)
ns = V/(2*pi*r)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
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).
Instantaneous Radius for Cut - (Measured in Meter) - Instantaneous Radius for Cut is the radius of the workpiece surface currently being machined.
STEP 1: Convert Input(s) to Base Unit
Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 Meter per Second (Check conversion here)
Instantaneous Radius for Cut: 120 Millimeter --> 0.12 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ns = V/(2*pi*r) --> 0.133333333333333/(2*pi*0.12)
Evaluating ... ...
ns = 0.176838825657661
STEP 3: Convert Result to Output's Unit
0.176838825657661 Hertz --> No Conversion Required
FINAL ANSWER
0.176838825657661 0.176839 Hertz <-- Rotational Frequency of Spindle
(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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4 Rotational Frequency Calculators

Rotational Frequency of Spindle given Rate of Increase of Wear-Land
Go Rotational Frequency of Spindle = (Reference Cutting Velocity*((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent))/(2*pi*Instantaneous Radius for Cut)
Rotational Frequency of Spindle given Machining Time for Facing
Go Rotational Frequency of Spindle = (Outside Radius of the Workpiece-Inner Radius of Workpiece)/(Machining Time*Feed)
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)
Rotational Frequency of Spindle given Cutting Speed
Go Rotational Frequency of Spindle = Cutting Velocity/(2*pi*Instantaneous Radius for Cut)

Rotational Frequency of Spindle given Cutting Speed Formula

Rotational Frequency of Spindle = Cutting Velocity/(2*pi*Instantaneous Radius for Cut)
ns = V/(2*pi*r)

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 Cutting Speed?

Rotational Frequency of Spindle given Cutting Speed calculator uses Rotational Frequency of Spindle = Cutting Velocity/(2*pi*Instantaneous Radius for Cut) to calculate the Rotational Frequency of Spindle, The Rotational Frequency of Spindle given Cutting Speed is a method to determine the required frequency of rotation of the Spindle of a Machining Tool such that the Cutting Speed on the Workpiece remains constant at any given time. Rotational Frequency of Spindle is denoted by ns symbol.

How to calculate Rotational Frequency of Spindle given Cutting Speed using this online calculator? To use this online calculator for Rotational Frequency of Spindle given Cutting Speed, enter Cutting Velocity (V) & Instantaneous Radius for Cut (r) and hit the calculate button. Here is how the Rotational Frequency of Spindle given Cutting Speed calculation can be explained with given input values -> 0.176839 = 0.133333333333333/(2*pi*0.12).

FAQ

What is Rotational Frequency of Spindle given Cutting Speed?
The Rotational Frequency of Spindle given Cutting Speed is a method to determine the required frequency of rotation of the Spindle of a Machining Tool such that the Cutting Speed on the Workpiece remains constant at any given time and is represented as ns = V/(2*pi*r) or Rotational Frequency of Spindle = Cutting Velocity/(2*pi*Instantaneous Radius for Cut). The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & Instantaneous Radius for Cut is the radius of the workpiece surface currently being machined.
How to calculate Rotational Frequency of Spindle given Cutting Speed?
The Rotational Frequency of Spindle given Cutting Speed is a method to determine the required frequency of rotation of the Spindle of a Machining Tool such that the Cutting Speed on the Workpiece remains constant at any given time is calculated using Rotational Frequency of Spindle = Cutting Velocity/(2*pi*Instantaneous Radius for Cut). To calculate Rotational Frequency of Spindle given Cutting Speed, you need Cutting Velocity (V) & Instantaneous Radius for Cut (r). With our tool, you need to enter the respective value for Cutting Velocity & Instantaneous Radius for Cut and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Rotational Frequency of Spindle?
In this formula, Rotational Frequency of Spindle uses Cutting Velocity & Instantaneous Radius for Cut. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Rotational Frequency of Spindle = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Process Time*Feed)
  • Rotational Frequency of Spindle = (Outside Radius of the Workpiece-Inner Radius of Workpiece)/(Machining Time*Feed)
  • Rotational Frequency of Spindle = (Reference Cutting Velocity*((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent))/(2*pi*Instantaneous Radius for Cut)
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