Peak to Valley Height Calculator

✖Feed is the rate at which a cutter moves through material.ⓘ Feed [F_cutter]			+10% -10%
✖The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle A [∠A]			+10% -10%
✖The angle B the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle B [∠B]			+10% -10%

✖Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Peak to Valley Height [h]

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Formula

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Peak to Valley Height

Formula

`"h" = "F"_{"cutter"}/(tan("∠A")+cot("∠B"))`

Example

`"6.90484mm"="12mm"/(tan("32.1°")+cot("42°"))`

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Peak to Valley Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height = Feed/(tan(Angle A)+cot(Angle B))
h = F_cutter/(tan(∠A)+cot(∠B))
This formula uses 2 Functions, 4 Variables

Functions Used

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., 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., cot(Angle)

Variables Used

Height - (Measured in Meter) - Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.
Feed - (Measured in Meter) - Feed is the rate at which a cutter moves through material.
Angle A - (Measured in Radian) - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
Angle B - (Measured in Radian) - The angle B the space between two intersecting lines or surfaces at or close to the point where they meet.

STEP 1: Convert Input(s) to Base Unit

Feed: 12 Millimeter --> 0.012 Meter (Check conversion here)
Angle A: 32.1 Degree --> 0.560250689890074 Radian (Check conversion here)
Angle B: 42 Degree --> 0.733038285837481 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = F_cutter/(tan(∠A)+cot(∠B)) --> 0.012/(tan(0.560250689890074)+cot(0.733038285837481))

Evaluating ... ...

h = 0.0069048401820758

STEP 3: Convert Result to Output's Unit

0.0069048401820758 Meter -->6.9048401820758 Millimeter (Check conversion here)

FINAL ANSWER

6.9048401820758 ≈ 6.90484 Millimeter <-- Height

(Calculation completed in 00.004 seconds)

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Credits

Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

Verified by Team Softusvista

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Peak to Valley Height Formula

Height = Feed/(tan(Angle A)+cot(Angle B))
h = F_cutter/(tan(∠A)+cot(∠B))

What is Peak To Valley 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.

How to Calculate Peak to Valley Height?

Peak to Valley Height calculator uses Height = Feed/(tan(Angle A)+cot(Angle B)) to calculate 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 calculate Peak to Valley Height using this online calculator? To use this online calculator for Peak to Valley Height, enter Feed (F_cutter), Angle A (∠A) & Angle B (∠B) and hit the calculate button. Here is how the Peak to Valley Height calculation can be explained with given input values -> 6904.84 = 0.012/(tan(0.560250689890074)+cot(0.733038285837481)).

FAQ

What is Peak to Valley 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 and is represented as h = F_cutter/(tan(∠A)+cot(∠B)) or Height = Feed/(tan(Angle A)+cot(Angle B)). Feed is the rate at which a cutter moves through material, The angle A the space between two intersecting lines or surfaces at or close to the point where they meet & The angle B the space between two intersecting lines or surfaces at or close to the point where they meet.

How to calculate Peak to Valley 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 is calculated using Height = Feed/(tan(Angle A)+cot(Angle B)). To calculate Peak to Valley Height, you need Feed (F_cutter), Angle A (∠A) & Angle B (∠B). With our tool, you need to enter the respective value for Feed, Angle A & Angle B and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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