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The Maximum Depth is the highest possible depth quantity during indentation. Check FAQs
hmax=(πhsπ-2)+hf
hmax - Maximum Depth?hs - Displacement of Surface?hf - Final Depth?π - Archimedes' constant?

Maximum Depth using Final Depth and Displacement of Surface Example

With values
With units
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Here is how the Maximum Depth using Final Depth and Displacement of Surface equation looks like with Values.

Here is how the Maximum Depth using Final Depth and Displacement of Surface equation looks like with Units.

Here is how the Maximum Depth using Final Depth and Displacement of Surface equation looks like.

207.5969Edit=(3.141650Edit3.1416-2)+70Edit
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Maximum Depth using Final Depth and Displacement of Surface Solution

Follow our step by step solution on how to calculate Maximum Depth using Final Depth and Displacement of Surface?

FIRST Step Consider the formula
hmax=(πhsπ-2)+hf
Next Step Substitute values of Variables
hmax=(π50nmπ-2)+70nm
Next Step Substitute values of Constants
hmax=(3.141650nm3.1416-2)+70nm
Next Step Convert Units
hmax=(3.14165E-8m3.1416-2)+7E-8m
Next Step Prepare to Evaluate
hmax=(3.14165E-83.1416-2)+7E-8
Next Step Evaluate
hmax=2.07596919694205E-07m
Next Step Convert to Output's Unit
hmax=207.596919694205nm
LAST Step Rounding Answer
hmax=207.5969nm

Maximum Depth using Final Depth and Displacement of Surface Formula Elements

Variables
Constants
Maximum Depth
The Maximum Depth is the highest possible depth quantity during indentation.
Symbol: hmax
Measurement: LengthUnit: nm
Note: Value should be greater than 0.
Displacement of Surface
The Displacement of Surface is simply the displacement of the surface on the perimeter of the contact due to elastic depression.
Symbol: hs
Measurement: LengthUnit: nm
Note: Value should be greater than 0.
Final Depth
The Final Depth is the measure of the depth after unloading and elastic recovery of the residual indent.
Symbol: hf
Measurement: LengthUnit: nm
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Maximum Depth

​Go Maximum Depth using Depth of Contact and Displacement of Surface
hmax=hc+hs

Other formulas in Mechanical and Nanomechanical Properties category

​Go Depth during Indentation using Displacement of Surface and Depth of Contact
h=hs+hc
​Go Displacement of Surface using Depth during Indentation and Depth of Contact
hs=h-hc
​Go Depth of Contact using Depth during Indentation and Displacement of Surface
hc=h-hs
​Go Depth of Contact using Maximum Depth and Displacement of Surface
hc=hmax-hs

How to Evaluate Maximum Depth using Final Depth and Displacement of Surface?

Maximum Depth using Final Depth and Displacement of Surface evaluator uses Maximum Depth = ((pi*Displacement of Surface)/(pi-2))+Final Depth to evaluate the Maximum Depth, The Maximum Depth using Final Depth and Displacement of Surface formula is defined as the highest possible depth quantity during indentation that can be calculated using the values of displacement of surface and final depth. Maximum Depth is denoted by hmax symbol.

How to evaluate Maximum Depth using Final Depth and Displacement of Surface using this online evaluator? To use this online evaluator for Maximum Depth using Final Depth and Displacement of Surface, enter Displacement of Surface (hs) & Final Depth (hf) and hit the calculate button.

FAQs on Maximum Depth using Final Depth and Displacement of Surface

What is the formula to find Maximum Depth using Final Depth and Displacement of Surface?
The formula of Maximum Depth using Final Depth and Displacement of Surface is expressed as Maximum Depth = ((pi*Displacement of Surface)/(pi-2))+Final Depth. Here is an example- 2.1E+11 = ((pi*5E-08)/(pi-2))+7E-08.
How to calculate Maximum Depth using Final Depth and Displacement of Surface?
With Displacement of Surface (hs) & Final Depth (hf) we can find Maximum Depth using Final Depth and Displacement of Surface using the formula - Maximum Depth = ((pi*Displacement of Surface)/(pi-2))+Final Depth. This formula also uses Archimedes' constant .
What are the other ways to Calculate Maximum Depth?
Here are the different ways to Calculate Maximum Depth-
  • Maximum Depth=Depth of Contact+Displacement of SurfaceOpenImg
Can the Maximum Depth using Final Depth and Displacement of Surface be negative?
No, the Maximum Depth using Final Depth and Displacement of Surface, measured in Length cannot be negative.
Which unit is used to measure Maximum Depth using Final Depth and Displacement of Surface?
Maximum Depth using Final Depth and Displacement of Surface is usually measured using the Nanometer[nm] for Length. Meter[nm], Millimeter[nm], Kilometer[nm] are the few other units in which Maximum Depth using Final Depth and Displacement of Surface can be measured.
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