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Peak to Valley Height Formula

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Height is the distance between the lowest and highest points of a person/ shape/ object standing upright. Check FAQs

h = \frac{F cutter}{\tan (∠A) + \cot (∠B)}

h - Height?F_cutter - Feed?∠A - Angle A?∠B - Angle B?

Peak to Valley Height Example

With values

With units

Only example

Here is how the Peak to Valley Height equation looks like with Values.

Here is how the Peak to Valley Height equation looks like with Units.

Here is how the Peak to Valley Height equation looks like.

6.9048 = \frac{12}{\tan (32.1) + \cot (42)}

6.9048mm = \frac{12mm}{\tan (32.1°) + \cot (42°)}

6.9048 = \frac{12}{\tan (32.1) + \cot (42)}

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Peak to Valley Height Solution

Follow our step by step solution on how to calculate Peak to Valley Height?

FIRST Step Consider the formula

h = \frac{F cutter}{\tan (∠A) + \cot (∠B)}

Next Step Substitute values of Variables

∴

h = \frac{12mm}{\tan (32.1°) + \cot (42°)}

Next Step Convert Units

∴

h = \frac{0.012m}{\tan (0.5603rad) + \cot (0.733rad)}

Next Step Prepare to Evaluate

∴

h = \frac{0.012}{\tan (0.5603) + \cot (0.733)}

Next Step Evaluate

∴

h = 0.0069048401820758m

Next Step Convert to Output's Unit

∴

h = 6.9048401820758mm

LAST Step Rounding Answer

∴

h = 6.9048mm

Peak to Valley Height Formula Elements

Variables

Functions

Height

Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height

Feed

Feed is the rate at which a cutter moves through material.

Symbol: F_cutter

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Feed

Angle A

The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

Symbol: ∠A

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle A

Angle B

The angle B the space between two intersecting lines or surfaces at or close to the point where they meet.

Symbol: ∠B

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle B

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other formulas in Metal Cutting category

Go Shear Angle

ϕ = a \tan (w \cdot \frac{\cos (θ)}{1 - w \cdot \sin (θ)})

Go Shear Force

F s = Fc \cdot \cos (θ) - P t \cdot \sin (θ)

Go Shear Plane Angle

ϕ = \arctan (\frac{r \cdot \cos (α)}{1 - r \cdot \sin (α)})

Go Shear Strain

𝜂 = \tan (ϕ) + \cot (ϕ - α)

How to Evaluate Peak to Valley Height?

Peak to Valley Height evaluator uses Height = Feed/(tan(Angle A)+cot(Angle B)) to evaluate the Height, Peak to Valley Height measures the maximum depth of the surface irregularities over a given sample length and largest value of the depth is accepted for the measurement. Height is denoted by h symbol.

How to evaluate Peak to Valley Height using this online evaluator? To use this online evaluator for Peak to Valley Height, enter Feed (F_cutter), Angle A (∠A) & Angle B (∠B) and hit the calculate button.

FAQs on Peak to Valley Height

What is the formula to find Peak to Valley Height?

The formula of Peak to Valley Height is expressed as Height = Feed/(tan(Angle A)+cot(Angle B)). Here is an example- 6904.84 = 0.012/(tan(0.560250689890074)+cot(0.733038285837481)).

How to calculate Peak to Valley Height?

With Feed (F_cutter), Angle A (∠A) & Angle B (∠B) we can find Peak to Valley Height using the formula - Height = Feed/(tan(Angle A)+cot(Angle B)). This formula also uses Tangent (tan), Cotangent (cot) function(s).

Can the Peak to Valley Height be negative?

No, the Peak to Valley Height, measured in Length cannot be negative.

Which unit is used to measure Peak to Valley Height?

Peak to Valley Height is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Peak to Valley Height can be measured.

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Peak to Valley Height Formula

Peak to Valley Height Example

Peak to Valley Height Solution

Peak to Valley Height Formula Elements

Other formulas in Metal Cutting category

How to Evaluate Peak to Valley Height?

FAQs on Peak to Valley Height

Variable Name