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Bite Angle Formula

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The bite angle refers to the maximum attainable angle between the roll radius at the first contact and the roll centers during rolling of metals. Check FAQs

α b = a \cos (1 - \frac{h}{2 \cdot R})

α_b - Bite Angle?h - Height?R - Roller Radius?

Bite Angle Example

With values

With units

Only example

Here is how the Bite Angle equation looks like with Values.

Here is how the Bite Angle equation looks like with Units.

Here is how the Bite Angle equation looks like.

30.0388 = a \cos (1 - \frac{27.4}{2 \cdot 102})

30.0388° = a \cos (1 - \frac{27.4mm}{2 \cdot 102mm})

30.0388 = a \cos (1 - \frac{27.4}{2 \cdot 102})

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Bite Angle Solution

Follow our step by step solution on how to calculate Bite Angle?

FIRST Step Consider the formula

α b = a \cos (1 - \frac{h}{2 \cdot R})

Next Step Substitute values of Variables

∴

α b = a \cos (1 - \frac{27.4mm}{2 \cdot 102mm})

Next Step Convert Units

∴

α b = a \cos (1 - \frac{0.0274m}{2 \cdot 0.102m})

Next Step Prepare to Evaluate

∴

α b = a \cos (1 - \frac{0.0274}{2 \cdot 0.102})

Next Step Evaluate

∴

α b = 0.52427663626508rad

Next Step Convert to Output's Unit

∴

α b = 30.0388385553102°

LAST Step Rounding Answer

∴

α b = 30.0388°

Bite Angle Formula Elements

Variables

Functions

Bite Angle

The bite angle refers to the maximum attainable angle between the roll radius at the first contact and the roll centers during rolling of metals.

Symbol: α_b

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Bite Angle

Height

Height is the distance between base and the bottom of the roller pressing the material during the rolling process.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height

Roller Radius

The Roller Radius is the distance between the center and the point on the circumference of the roller.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roller Radius

cos

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

Syntax: cos(Angle)

acos

The inverse cosine 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: acos(Number)

Other formulas in Rolling category

Go Maximum Reduction in Thickness Possible

Δt = {μ f}^{2} \cdot R

Go Projected Length

L = {(R \cdot Δt)}^{0.5}

Go Angle Subtended by Neutral Point

φ n = \sqrt{\frac{h fi}{R}} \cdot \tan (\frac{H n}{2} \cdot \sqrt{\frac{h fi}{R}})

Go Factor H at Neutral Point

H n = \frac{H i - \frac{\ln (\frac{h i}{h fi})}{μ f}}{2}

How to Evaluate Bite Angle?

Bite Angle evaluator uses Bite Angle = acos(1-Height/(2*Roller Radius)) to evaluate the Bite Angle, the bite angle refers to the angle formed between the direction of the rolling force and a line perpendicular to the axis of the rolls. Bite Angle is denoted by α_b symbol.

How to evaluate Bite Angle using this online evaluator? To use this online evaluator for Bite Angle, enter Height (h) & Roller Radius (R) and hit the calculate button.

FAQs on Bite Angle

What is the formula to find Bite Angle?

The formula of Bite Angle is expressed as Bite Angle = acos(1-Height/(2*Roller Radius)). Here is an example- 1721.099 = acos(1-0.0274/(2*0.102)).

How to calculate Bite Angle?

With Height (h) & Roller Radius (R) we can find Bite Angle using the formula - Bite Angle = acos(1-Height/(2*Roller Radius)). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

Can the Bite Angle be negative?

Yes, the Bite Angle, measured in Angle can be negative.

Which unit is used to measure Bite Angle?

Bite Angle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Bite Angle can be measured.

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