Number of Jobs Revolution per Unit Time Calculator

✖Cutting speed also known as surface speed or cutting velocity, refers to the speed at which the cutting tool moves across the workpiece surface during the machining process.ⓘ Cutting Speed [V_c]			+10% -10%
✖Initial diameter of workpiece refers to the diameter of the raw material before any material removal takes place during the machining process.ⓘ Initial Diameter of Workpiece [d_i]			+10% -10%

✖Number of revolutions refers to the number of times the cutting tool rotates around its axis during the machining process.ⓘ Number of Jobs Revolution per Unit Time [N]

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Formula

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Number of Jobs Revolution per Unit Time

Formula

`"N" = "V"_{"c"}/(pi*"d"_{"i"})`

Example

`"684.88rev/min"="6.984811m/s"/(pi*"31mm")`

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Number of Jobs Revolution per Unit Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece)
N = V_c/(pi*d_i)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Number of Revolutions - (Measured in Radian per Second) - Number of revolutions refers to the number of times the cutting tool rotates around its axis during the machining process.
Cutting Speed - (Measured in Meter per Second) - Cutting speed also known as surface speed or cutting velocity, refers to the speed at which the cutting tool moves across the workpiece surface during the machining process.
Initial Diameter of Workpiece - (Measured in Meter) - Initial diameter of workpiece refers to the diameter of the raw material before any material removal takes place during the machining process.

STEP 1: Convert Input(s) to Base Unit

Cutting Speed: 6.984811 Meter per Second --> 6.984811 Meter per Second No Conversion Required
Initial Diameter of Workpiece: 31 Millimeter --> 0.031 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = V_c/(pi*d_i) --> 6.984811/(pi*0.031)

Evaluating ... ...

N = 71.7204643362997

STEP 3: Convert Result to Output's Unit

71.7204643362997 Radian per Second -->684.879985232961 Revolution per Minute (Check conversion here)

FINAL ANSWER

684.879985232961 ≈ 684.88 Revolution per Minute <-- Number of Revolutions

(Calculation completed in 00.004 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

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< 10+ Geometry of Turning Process Calculators

Side Rake Angle for Orthogonal Cutting

Go Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle))/(sin(Side Cutting Edge Angle)))

Back Rake Angle for Orthogonal Cutting

Go Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle))

Number of Jobs Revolution per Unit Time

Go Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece)

Initial Diameter of Job in Turning

Go Initial Diameter of Workpiece = Cutting Speed/(pi*Number of Revolutions)

Cutting Speed

Go Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions

Side Cutting Edge Angle for Orthogonal Cutting

Go Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width)

Uncut Chip Thickness

Go Uncut Chip Thickness = Feed*cos(Side Cutting Edge Angle)

Machine Feed

Go Feed = Uncut Chip Thickness/cos(Side Cutting Edge Angle)

Radial Force

Go Radial Force = Thrust Force*sin(Side Cutting Edge Angle)

Feed Force

Go Feed Force = Thrust Force*cos(Side Cutting Edge Angle)

Number of Jobs Revolution per Unit Time Formula

Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece)
N = V_c/(pi*d_i)

Spindle speed

Spindle speed is defined as the number of complete revolutions that the spindle (and consequently the workpiece or tool attached to it) makes in one minute.
Importance of Spindle Speed
1)Cutting Speed: Directly affects the cutting speed, which is the speed at which the cutting edge of the tool engages the workpiece material. The relationship is given by.
2)Material Removal Rate: Higher spindle speeds typically lead to higher material removal rates, improving productivity.
3)Surface Finish: Higher spindle speeds often result in better surface finishes due to the smoother engagement of the cutting tool with the workpiece.
4)Tool Life: Incorrect spindle speeds can lead to excessive tool wear or even tool failure. Optimizing spindle speed is crucial for extending tool life.
5)Heat Generation: Higher spindle speeds can increase the temperature at the cutting zone, affecting the material properties and tool performance.

Practical Considerations

1)Workpiece Material: Different materials require different cutting speeds. Harder materials generally need lower cutting speeds.
2)Tool Material and Geometry: Tool material (e.g., high-speed steel, carbide) and geometry (e.g., rake angle) influence the optimal spindle speed.
3)Machining Conditions: Stability of the machine, presence of coolants, and type of cutting operation (e.g., roughing vs. finishing) also affect the appropriate spindle speed.
4)Machine Capabilities: The maximum spindle speed the machine can achieve should be considered.

How to Calculate Number of Jobs Revolution per Unit Time?

Number of Jobs Revolution per Unit Time calculator uses Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece) to calculate the Number of Revolutions, Number of jobs revolution per unit time in metal cutting operations refers to the spindle speed, which is the rate at which the workpiece or cutting tool rotates. It is a fundamental parameter that affects the cutting process, influencing the cutting speed, surface finish, tool life, and overall efficiency of the operation. Number of Revolutions is denoted by N symbol.

How to calculate Number of Jobs Revolution per Unit Time using this online calculator? To use this online calculator for Number of Jobs Revolution per Unit Time, enter Cutting Speed (V_c) & Initial Diameter of Workpiece (d_i) and hit the calculate button. Here is how the Number of Jobs Revolution per Unit Time calculation can be explained with given input values -> 392407.4 = 6.984811/(pi*0.031).

FAQ

What is Number of Jobs Revolution per Unit Time?

Number of jobs revolution per unit time in metal cutting operations refers to the spindle speed, which is the rate at which the workpiece or cutting tool rotates. It is a fundamental parameter that affects the cutting process, influencing the cutting speed, surface finish, tool life, and overall efficiency of the operation and is represented as N = V_c/(pi*d_i) or Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece). Cutting speed also known as surface speed or cutting velocity, refers to the speed at which the cutting tool moves across the workpiece surface during the machining process & Initial diameter of workpiece refers to the diameter of the raw material before any material removal takes place during the machining process.

How to calculate Number of Jobs Revolution per Unit Time?

Number of jobs revolution per unit time in metal cutting operations refers to the spindle speed, which is the rate at which the workpiece or cutting tool rotates. It is a fundamental parameter that affects the cutting process, influencing the cutting speed, surface finish, tool life, and overall efficiency of the operation is calculated using Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece). To calculate Number of Jobs Revolution per Unit Time, you need Cutting Speed (V_c) & Initial Diameter of Workpiece (d_i). With our tool, you need to enter the respective value for Cutting Speed & Initial Diameter of Workpiece 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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