Thrust Force given Cutting Force and Normal Rake Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thrust force = (Cutting Force*cos(Normal Rake Angle)-Normal Force)/sin(Normal Rake Angle)
Ft = (Fc*cos(αnormal)-Fn)/sin(αnormal)
This formula uses 2 Functions, 4 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Thrust force - (Measured in Newton) - Thrust force acting perpendicular to job piece.
Cutting Force - (Measured in Newton) - Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.
Normal Rake Angle - (Measured in Radian) - The Normal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.
Normal Force - (Measured in Newton) - Normal Force is the force which is normal to the shear force.
STEP 1: Convert Input(s) to Base Unit
Cutting Force: 647.55 Newton --> 647.55 Newton No Conversion Required
Normal Rake Angle: 2.01 Degree --> 0.0350811179650794 Radian (Check conversion here)
Normal Force: 57.3 Newton --> 57.3 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ft = (Fc*cos(αnormal)-Fn)/sin(αnormal) --> (647.55*cos(0.0350811179650794)-57.3)/sin(0.0350811179650794)
Evaluating ... ...
Ft = 16817.3825229773
STEP 3: Convert Result to Output's Unit
16817.3825229773 Newton --> No Conversion Required
FINAL ANSWER
16817.3825229773 16817.38 Newton <-- Thrust force
(Calculation completed in 00.020 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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4 Thrust Force Calculators

Thrust force for given frictional force along tool rake face, cutting force and normal rake angle
Go Thrust force = (Force of Friction-(Cutting Force*sin(Normal Rake Angle)))/cos(Normal Rake Angle)
Thrust Force given Cutting Force and Normal Rake Angle
Go Thrust force = (Cutting Force*cos(Normal Rake Angle)-Normal Force)/sin(Normal Rake Angle)
Thrust force for given cutting force, shear angle and force normal to shear force
Go Axial Thrust = (Normal Force-(Cutting Force*(sin(Shear angle))))/(cos(Shear angle))
Thrust force for given cutting force, shear angle and force along shear force
Go Axial Thrust = ((Cutting Force*(cos(Shear angle)))-Shear Force)/(sin(Shear angle))

Thrust Force given Cutting Force and Normal Rake Angle Formula

Thrust force = (Cutting Force*cos(Normal Rake Angle)-Normal Force)/sin(Normal Rake Angle)
Ft = (Fc*cos(αnormal)-Fn)/sin(αnormal)

calculating the thrust force acting on jobe piece during machining

Thrust force acts perpideicular to the job piece during machining , it helps in caluculating the cutting force and normal force acting on the body

How to Calculate Thrust Force given Cutting Force and Normal Rake Angle?

Thrust Force given Cutting Force and Normal Rake Angle calculator uses Thrust force = (Cutting Force*cos(Normal Rake Angle)-Normal Force)/sin(Normal Rake Angle) to calculate the Thrust force, The Thrust Force given Cutting Force and Normal Rake Angle formula is defined as the ratio of cutting force subtracted to the normal force to the sine of rake angle. Thrust force is denoted by Ft symbol.

How to calculate Thrust Force given Cutting Force and Normal Rake Angle using this online calculator? To use this online calculator for Thrust Force given Cutting Force and Normal Rake Angle, enter Cutting Force (Fc), Normal Rake Angle normal) & Normal Force (Fn) and hit the calculate button. Here is how the Thrust Force given Cutting Force and Normal Rake Angle calculation can be explained with given input values -> 3342.461 = (647.55*cos(0.0350811179650794)-57.3)/sin(0.0350811179650794).

FAQ

What is Thrust Force given Cutting Force and Normal Rake Angle?
The Thrust Force given Cutting Force and Normal Rake Angle formula is defined as the ratio of cutting force subtracted to the normal force to the sine of rake angle and is represented as Ft = (Fc*cos(αnormal)-Fn)/sin(αnormal) or Thrust force = (Cutting Force*cos(Normal Rake Angle)-Normal Force)/sin(Normal Rake Angle). Cutting Force is the force in the direction of cutting, the same direction as the cutting speed, The Normal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane & Normal Force is the force which is normal to the shear force.
How to calculate Thrust Force given Cutting Force and Normal Rake Angle?
The Thrust Force given Cutting Force and Normal Rake Angle formula is defined as the ratio of cutting force subtracted to the normal force to the sine of rake angle is calculated using Thrust force = (Cutting Force*cos(Normal Rake Angle)-Normal Force)/sin(Normal Rake Angle). To calculate Thrust Force given Cutting Force and Normal Rake Angle, you need Cutting Force (Fc), Normal Rake Angle normal) & Normal Force (Fn). With our tool, you need to enter the respective value for Cutting Force, Normal Rake Angle & Normal Force 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 Thrust force?
In this formula, Thrust force uses Cutting Force, Normal Rake Angle & Normal Force. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Thrust force = (Force of Friction-(Cutting Force*sin(Normal Rake Angle)))/cos(Normal Rake Angle)
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