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Perpendicular Distance between Two Surfaces given Shear Angle Formula

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The Perpendicular Distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both. Check FAQs

d = \frac{l}{\tan (Q)}

d - Perpendicular Distance?l - Displacement of Upper Surface?Q - Angle of Shear?

Perpendicular Distance between Two Surfaces given Shear Angle Example

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Here is how the Perpendicular Distance between Two Surfaces given Shear Angle equation looks like with Values.

Here is how the Perpendicular Distance between Two Surfaces given Shear Angle equation looks like with Units.

Here is how the Perpendicular Distance between Two Surfaces given Shear Angle equation looks like.

1.9988 = \frac{15}{\tan (82.41)}

1.9988m = \frac{15m}{\tan (82.41°)}

1.9988 = \frac{15}{\tan (82.41)}

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Perpendicular Distance between Two Surfaces given Shear Angle Solution

Follow our step by step solution on how to calculate Perpendicular Distance between Two Surfaces given Shear Angle?

FIRST Step Consider the formula

d = \frac{l}{\tan (Q)}

Next Step Substitute values of Variables

∴

d = \frac{15m}{\tan (82.41°)}

Next Step Convert Units

∴

d = \frac{15m}{\tan (1.4383rad)}

Next Step Prepare to Evaluate

∴

d = \frac{15}{\tan (1.4383)}

Next Step Evaluate

∴

d = 1.99876277109706m

LAST Step Rounding Answer

∴

d = 1.9988m

Perpendicular Distance between Two Surfaces given Shear Angle Formula Elements

Variables

Functions

Perpendicular Distance

The Perpendicular Distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Perpendicular Distance

Displacement of Upper Surface

Displacement of Upper Surface refers to the change in position of the upper layer of an elastic material when subjected to external forces, which is recoverable once the stress is removed.

Symbol: l

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Upper Surface

Angle of Shear

The Angle of Shear is the angle by which a material element deforms due to applied shear stress.

Symbol: Q

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Shear

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)

Other formulas in Strain category

Go Volume Strain

ε v = \frac{∆V}{V 0}

Go Change in Volume of Body given Volumetric Strain

∆V = ε v \cdot V 0

Go Original Volume of Body given Volumetric Strain

V 0 = \frac{∆V}{ε v}

Go Displacement of Upper Surface

l = \tan (Q) \cdot d

How to Evaluate Perpendicular Distance between Two Surfaces given Shear Angle?

Perpendicular Distance between Two Surfaces given Shear Angle evaluator uses Perpendicular Distance = Displacement of Upper Surface/tan(Angle of Shear) to evaluate the Perpendicular Distance, Perpendicular Distance between Two Surfaces given Shear Angle formula is defined as a measure of the shortest distance between two surfaces that are not parallel to each other, taking into account the angle of slant or tilt between them, which is essential in understanding the geometry and orientation of these surfaces in various engineering and physics applications. Perpendicular Distance is denoted by d symbol.

How to evaluate Perpendicular Distance between Two Surfaces given Shear Angle using this online evaluator? To use this online evaluator for Perpendicular Distance between Two Surfaces given Shear Angle, enter Displacement of Upper Surface (l) & Angle of Shear (Q) and hit the calculate button.

FAQs on Perpendicular Distance between Two Surfaces given Shear Angle

What is the formula to find Perpendicular Distance between Two Surfaces given Shear Angle?

The formula of Perpendicular Distance between Two Surfaces given Shear Angle is expressed as Perpendicular Distance = Displacement of Upper Surface/tan(Angle of Shear). Here is an example- 1.974787 = 15/tan(1.43832583656826).

How to calculate Perpendicular Distance between Two Surfaces given Shear Angle?

With Displacement of Upper Surface (l) & Angle of Shear (Q) we can find Perpendicular Distance between Two Surfaces given Shear Angle using the formula - Perpendicular Distance = Displacement of Upper Surface/tan(Angle of Shear). This formula also uses Tangent (tan) function(s).

Can the Perpendicular Distance between Two Surfaces given Shear Angle be negative?

Yes, the Perpendicular Distance between Two Surfaces given Shear Angle, measured in Length can be negative.

Which unit is used to measure Perpendicular Distance between Two Surfaces given Shear Angle?

Perpendicular Distance between Two Surfaces given Shear Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perpendicular Distance between Two Surfaces given Shear Angle can be measured.

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Perpendicular Distance between Two Surfaces given Shear Angle Formula

Perpendicular Distance between Two Surfaces given Shear Angle Example

Perpendicular Distance between Two Surfaces given Shear Angle Solution

Perpendicular Distance between Two Surfaces given Shear Angle Formula Elements

Other formulas in Strain category

How to Evaluate Perpendicular Distance between Two Surfaces given Shear Angle?

FAQs on Perpendicular Distance between Two Surfaces given Shear Angle

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