Projected Length Formula

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Projected Length of an object is a length for which the roller is in contact with the material. Check FAQs
L=(RΔt)0.5
L - Projected Length?R - Roller Radius?Δt - Change in Thickness?

Projected Length Example

With values
With units
Only example

Here is how the Projected Length equation looks like with Values.

Here is how the Projected Length equation looks like with Units.

Here is how the Projected Length equation looks like.

40.8Edit=(102Edit16.32Edit)0.5
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Projected Length Solution

Follow our step by step solution on how to calculate Projected Length?

FIRST Step Consider the formula
L=(RΔt)0.5
Next Step Substitute values of Variables
L=(102mm16.32mm)0.5
Next Step Convert Units
L=(0.102m0.0163m)0.5
Next Step Prepare to Evaluate
L=(0.1020.0163)0.5
Next Step Evaluate
L=0.0408m
LAST Step Convert to Output's Unit
L=40.8mm

Projected Length Formula Elements

Variables
Projected Length
Projected Length of an object is a length for which the roller is in contact with the material.
Symbol: L
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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.
Change in Thickness
Change in Thickness can be defined as the difference between final and initial thickness of the workpiece being rolled.
Symbol: Δt
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Rolling Analysis category

​Go Bite Angle
αb=acos(1-h2R)
​Go Maximum Reduction in Thickness Possible
Δt=μf2R
​Go Angle Subtended by Neutral Point
φn=hfiRtan(Hn2hfiR)
​Go Factor H at Neutral Point
Hn=Hi-ln(hihfi)μf2

How to Evaluate Projected Length?

Projected Length evaluator uses Projected Length = (Roller Radius*Change in Thickness)^0.5 to evaluate the Projected Length, projected length typically refers to the length of the material being rolled as it contacts the rolls. This length is projected onto a plane perpendicular to the direction of rolling. Projected Length is denoted by L symbol.

How to evaluate Projected Length using this online evaluator? To use this online evaluator for Projected Length, enter Roller Radius (R) & Change in Thickness (Δt) and hit the calculate button.

FAQs on Projected Length

What is the formula to find Projected Length?
The formula of Projected Length is expressed as Projected Length = (Roller Radius*Change in Thickness)^0.5. Here is an example- 40800 = (0.102*0.01632)^0.5.
How to calculate Projected Length?
With Roller Radius (R) & Change in Thickness (Δt) we can find Projected Length using the formula - Projected Length = (Roller Radius*Change in Thickness)^0.5.
Can the Projected Length be negative?
No, the Projected Length, measured in Length cannot be negative.
Which unit is used to measure Projected Length?
Projected Length is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Projected Length can be measured.
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