FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle Formula

Fx Copy

LaTeX Copy

The Friction angle is termed as the force between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force and having a friction angle β. Check FAQs

β frc = (\arccos (\frac{F s}{R frc})) + α tool - ϕ shr

β_frc - Friction Angle?F_s - Force along shear plane?R_frc - Resultant Force on Job?α_tool - Tool Rake Angle?ϕ_shr - Shearing Angle in Machining?

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle Example

With values

With units

Only example

Here is how the Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle equation looks like with Values.

Here is how the Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle equation looks like with Units.

Here is how the Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle equation looks like.

23.9994 = (\arccos (\frac{7.78}{13.46})) + 8.56 - 39.25

23.9994° = (\arccos (\frac{7.78N}{13.46N})) + 8.56° - 39.25°

23.9994 = (\arccos (\frac{7.78}{13.46})) + 8.56 - 39.25

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Metal Cutting » fx Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle Solution

Follow our step by step solution on how to calculate Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle?

FIRST Step Consider the formula

β frc = (\arccos (\frac{F s}{R frc})) + α tool - ϕ shr

Next Step Substitute values of Variables

∴

β frc = (\arccos (\frac{7.78N}{13.46N})) + 8.56° - 39.25°

Next Step Convert Units

∴

β frc = (\arccos (\frac{7.78N}{13.46N})) + 0.1494rad - 0.685rad

Next Step Prepare to Evaluate

∴

β frc = (\arccos (\frac{7.78}{13.46})) + 0.1494 - 0.685

Next Step Evaluate

∴

β frc = 0.418868166952254rad

Next Step Convert to Output's Unit

∴

β frc = 23.9993781387498°

LAST Step Rounding Answer

∴

β frc = 23.9994°

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle Formula Elements

Variables

Functions

Friction Angle

The Friction angle is termed as the force between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force and having a friction angle β.

Symbol: β_frc

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Friction Angle

Force along shear plane

Force along shear plane is the force acting in the direction of shear plane.

Symbol: F_s

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force along shear plane

Resultant Force on Job

Resultant Force on Job is the vector sum of cutting force and thrust force.

Symbol: R_frc

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Resultant Force on Job

Tool Rake Angle

Tool rake angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.

Symbol: α_tool

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Tool Rake Angle

Shearing Angle in Machining

Shearing angle in machining is the inclination of the shear plane with the horizontal axis at machining point.

Symbol: ϕ_shr

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Shearing Angle in Machining

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

arccos

Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: arccos(Number)

Other formulas in Forces and Friction category

Go Shear force acting on shear plane for given shear stress and area of shear plane

F shear = 𝜏 shear \cdot A shear

Go Coefficient of friction for given friction angle

μ = \tan (β o)

Go Coefficient of friction for given thrust force, cutting force and normal rake angle

μ = \frac{F thrust + F c \cdot \tan (α N)}{F c - F thrust \cdot \tan (α N)}

Go Coefficient of Friction given Forces Normal and along Tool Rake Face

μ = \frac{F fr}{F N}

How to Evaluate Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle?

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle evaluator uses Friction Angle = (arccos(Force along shear plane/Resultant Force on Job))+Tool Rake Angle-Shearing Angle in Machining to evaluate the Friction Angle, The Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle formula is defined as the tan inverse of the coefficient of friction. Friction Angle is denoted by β_frc symbol.

How to evaluate Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle using this online evaluator? To use this online evaluator for Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle, enter Force along shear plane (F_s), Resultant Force on Job (R_frc), Tool Rake Angle (α_tool) & Shearing Angle in Machining (ϕ_shr) and hit the calculate button.

FAQs on Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle

What is the formula to find Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle?

The formula of Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle is expressed as Friction Angle = (arccos(Force along shear plane/Resultant Force on Job))+Tool Rake Angle-Shearing Angle in Machining. Here is an example- 1375.063 = (arccos(7.78/13.46))+0.149400183970687-0.685041731407646.

How to calculate Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle?

With Force along shear plane (F_s), Resultant Force on Job (R_frc), Tool Rake Angle (α_tool) & Shearing Angle in Machining (ϕ_shr) we can find Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle using the formula - Friction Angle = (arccos(Force along shear plane/Resultant Force on Job))+Tool Rake Angle-Shearing Angle in Machining. This formula also uses Cosine (cos), Inverse Cosine (arccos) function(s).

Can the Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle be negative?

No, the Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle, measured in Angle cannot be negative.

Which unit is used to measure Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle?

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle Formula

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle Example

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle Solution

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle Formula Elements

Other formulas in Forces and Friction category

How to Evaluate Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle?

FAQs on Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle

Variable Name