Cutting Force given Rate of Energy Consumption during Machining Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed
Fc = Pm/Vcutting
This formula uses 3 Variables
Variables Used
Cutting Force - (Measured in Newton) - Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.
Rate of Energy Consumption during Machining - (Measured in Watt) - Rate of Energy Consumption during Machining is the amount of energy transferred or converted per unit of time by the machine to the workpiece.
Cutting Speed - (Measured in Meter per Second) - Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).
STEP 1: Convert Input(s) to Base Unit
Rate of Energy Consumption during Machining: 1800 Watt --> 1800 Watt No Conversion Required
Cutting Speed: 2 Meter per Second --> 2 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fc = Pm/Vcutting --> 1800/2
Evaluating ... ...
Fc = 900
STEP 3: Convert Result to Output's Unit
900 Newton --> No Conversion Required
FINAL ANSWER
900 Newton <-- Cutting Force
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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21 Cutting Force and Surface Roughness Calculators

Frictional Force required to continuously shear junction between surfaces
Go Force of Friction = Real Area of Contact*((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))
Shear Strength of Softer Lubricant layer given Frictional force
Go Shear Strength of Softer Lubricant Layer = ((Force of Friction/Real Area of Contact)-(Proportion of Area of Metallic Contact*Shear Strength of Softer Metal))/(1-Proportion of Area of Metallic Contact)
Area of contact given Frictional Force
Go Real Area of Contact = Force of Friction/((Proportion of Area of Metallic Contact*Shear Strength of Softer Metal)+((1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer))
Proportion of Area in which metallic contact occurs given Frictional Force
Go Proportion of Area of Metallic Contact = ((Force of Friction/Real Area of Contact)-Shear Strength of Softer Lubricant Layer)/(Shear Strength of Softer Metal-Shear Strength of Softer Lubricant Layer)
Shear Strength of Softer Metal given Frictional force
Go Shear Strength of Softer Metal = ((Force of Friction/Real Area of Contact)-(1-Proportion of Area of Metallic Contact)*Shear Strength of Softer Lubricant Layer)/Proportion of Area of Metallic Contact
Working major cutting edge Angle given Roughness value
Go Working Major Cutting-Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge)))
Working minor cutting edge Angle given Roughness value
Go Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting-Edge Angle)))
Roughness Value
Go Roughness Value = Feed/(4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge)))
Feed given Roughness value
Go Feed = 4*(cot(Working Major Cutting-Edge Angle)+cot(Working Minor Cutting Edge))*Roughness Value
Rotational Frequency of Cutter given Roughness Value
Go Rotational Frequency of Cutter = sqrt(0.0642/(Roughness Value*Diameter of Cutter))*Feed Speed
Feed speed given Roughness value
Go Feed Speed = sqrt(Roughness Value*Diameter of Cutter/0.0642)*Rotational Frequency of Cutter
Diameter of Cutter given Roughness Value
Go Diameter of Cutter = (0.0642*(Feed Speed)^2)/(Roughness Value*(Rotational Frequency of Cutter)^2)
Roughness value given feed speed
Go Roughness Value = (0.0642*(Feed Speed)^2)/(Diameter of Cutter*(Rotational Frequency of Cutter)^2)
Cutting Force given Specific Cutting Energy in Machining
Go Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip
Cutting Force given Rate of Energy Consumption during Machining
Go Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed
Resultant Cutting Force using Force required to remove Chip
Go Resultant Cutting Force = Force Required to Remove Chip+Plowing Force
Force required to remove Chip and acting on Tool Face
Go Force Required to Remove Chip = Resultant Cutting Force-Plowing Force
Feed given Roughness Value and corner radius
Go Feed = (Roughness Value*Corner Radius of Tool/0.0321)^(1/2)
Roughness value given corner radius
Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool
Corner Radius given Roughness value
Go Corner Radius of Tool = 0.0321*(Feed)^2/Roughness Value
Roughness value of tool
Go Roughness Value = 0.0321*(Feed)^2/Corner Radius of Tool

Cutting Force given Rate of Energy Consumption during Machining Formula

Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed
Fc = Pm/Vcutting

What is Rate of Energy Consumption during Machining?

Rate of Energy Consumption during Machining(power) is the amount of energy transferred or converted per unit of time by the machine to the workpiece. It is the same as power as power is the rate energy is moved, or used

How to Calculate Cutting Force given Rate of Energy Consumption during Machining?

Cutting Force given Rate of Energy Consumption during Machining calculator uses Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed to calculate the Cutting Force, The Cutting force given rate of energy consumption during machining is the force in the direction of cutting, the same direction as the cutting speed v. Cutting Force is denoted by Fc symbol.

How to calculate Cutting Force given Rate of Energy Consumption during Machining using this online calculator? To use this online calculator for Cutting Force given Rate of Energy Consumption during Machining, enter Rate of Energy Consumption during Machining (Pm) & Cutting Speed (Vcutting) and hit the calculate button. Here is how the Cutting Force given Rate of Energy Consumption during Machining calculation can be explained with given input values -> 900 = 1800/2.

FAQ

What is Cutting Force given Rate of Energy Consumption during Machining?
The Cutting force given rate of energy consumption during machining is the force in the direction of cutting, the same direction as the cutting speed v and is represented as Fc = Pm/Vcutting or Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed. Rate of Energy Consumption during Machining is the amount of energy transferred or converted per unit of time by the machine to the workpiece & Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).
How to calculate Cutting Force given Rate of Energy Consumption during Machining?
The Cutting force given rate of energy consumption during machining is the force in the direction of cutting, the same direction as the cutting speed v is calculated using Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed. To calculate Cutting Force given Rate of Energy Consumption during Machining, you need Rate of Energy Consumption during Machining (Pm) & Cutting Speed (Vcutting). With our tool, you need to enter the respective value for Rate of Energy Consumption during Machining & Cutting Speed 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 Cutting Force?
In this formula, Cutting Force uses Rate of Energy Consumption during Machining & Cutting Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Cutting Force = Specific Cutting Energy in Machining*Cross-sectional Area of Uncut Chip
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