Thrust force for given frictional force along tool rake face, cutting force and normal rake angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thrust force = (Force of Friction-(Cutting Force*sin(Normal Rake Angle)))/cos(Normal Rake Angle)
Ft = (Ffriction-(Fc*sin(αnormal)))/cos(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.
Force of Friction - (Measured in Newton) - Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
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.
STEP 1: Convert Input(s) to Base Unit
Force of Friction: 25 Newton --> 25 Newton No Conversion Required
Cutting Force: 647.55 Newton --> 647.55 Newton No Conversion Required
Normal Rake Angle: 2.01 Degree --> 0.0350811179650794 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ft = (Ffriction-(Fc*sin(αnormal)))/cos(αnormal) --> (25-(647.55*sin(0.0350811179650794)))/cos(0.0350811179650794)
Evaluating ... ...
Ft = 2.28928986005603
STEP 3: Convert Result to Output's Unit
2.28928986005603 Newton --> No Conversion Required
FINAL ANSWER
2.28928986005603 2.28929 Newton <-- Thrust force
(Calculation completed in 00.020 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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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 for given frictional force along tool rake face, cutting force and normal rake angle Formula

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

Calculation for the thrust force acting on the job.

The thrust force is the force acting perpendicular to the job piece. This helps in calculating the normal force and cutting force suing merchant circle.

How to Calculate Thrust force for given frictional force along tool rake face, cutting force and normal rake angle?

Thrust force for given frictional force along tool rake face, cutting force and normal rake angle calculator uses Thrust force = (Force of Friction-(Cutting Force*sin(Normal Rake Angle)))/cos(Normal Rake Angle) to calculate the Thrust force, The Thrust force for given frictional force along tool rake face, cutting force and normal rake angle formula is defined as ratio of friction force minus cutting force acting at sin of the normal to the cos of normal rake angle. Thrust force is denoted by Ft symbol.

How to calculate Thrust force for given frictional force along tool rake face, cutting force and normal rake angle using this online calculator? To use this online calculator for Thrust force for given frictional force along tool rake face, cutting force and normal rake angle, enter Force of Friction (Ffriction), Cutting Force (Fc) & Normal Rake Angle normal) and hit the calculate button. Here is how the Thrust force for given frictional force along tool rake face, cutting force and normal rake angle calculation can be explained with given input values -> -88.794871 = (25-(647.55*sin(0.0350811179650794)))/cos(0.0350811179650794).

FAQ

What is Thrust force for given frictional force along tool rake face, cutting force and normal rake angle?
The Thrust force for given frictional force along tool rake face, cutting force and normal rake angle formula is defined as ratio of friction force minus cutting force acting at sin of the normal to the cos of normal rake angle and is represented as Ft = (Ffriction-(Fc*sin(αnormal)))/cos(αnormal) or Thrust force = (Force of Friction-(Cutting Force*sin(Normal Rake Angle)))/cos(Normal Rake Angle). Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force, 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.
How to calculate Thrust force for given frictional force along tool rake face, cutting force and normal rake angle?
The Thrust force for given frictional force along tool rake face, cutting force and normal rake angle formula is defined as ratio of friction force minus cutting force acting at sin of the normal to the cos of normal rake angle is calculated using Thrust force = (Force of Friction-(Cutting Force*sin(Normal Rake Angle)))/cos(Normal Rake Angle). To calculate Thrust force for given frictional force along tool rake face, cutting force and normal rake angle, you need Force of Friction (Ffriction), Cutting Force (Fc) & Normal Rake Angle normal). With our tool, you need to enter the respective value for Force of Friction, Cutting Force & Normal Rake Angle 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 Force of Friction, Cutting Force & Normal Rake Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Thrust force = (Cutting Force*cos(Normal Rake Angle)-Normal Force)/sin(Normal Rake Angle)
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