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Arc Angle given Length of Slip Arc Formula

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Arc Angle is the angle formed at the arc of slip circle. Check FAQs

δ = \frac{360 \cdot L'}{2 \cdot π \cdot d radial} \cdot (\frac{π}{180})

δ - Arc Angle?L^' - Length of Slip Arc?d_radial - Radial Distance?π - Archimedes' constant?

Arc Angle given Length of Slip Arc Example

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Here is how the Arc Angle given Length of Slip Arc equation looks like with Values.

Here is how the Arc Angle given Length of Slip Arc equation looks like with Units.

Here is how the Arc Angle given Length of Slip Arc equation looks like.

2.0001 = \frac{360 \cdot 3.0001}{2 \cdot 3.1416 \cdot 1.5} \cdot (\frac{3.1416}{180})

2.0001rad = \frac{360 \cdot 3.0001m}{2 \cdot 3.1416 \cdot 1.5m} \cdot (\frac{3.1416}{180})

2.0001 = \frac{360 \cdot 3.0001}{2 \cdot 3.1416 \cdot 1.5} \cdot (\frac{3.1416}{180})

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Arc Angle given Length of Slip Arc Solution

Follow our step by step solution on how to calculate Arc Angle given Length of Slip Arc?

FIRST Step Consider the formula

δ = \frac{360 \cdot L'}{2 \cdot π \cdot d radial} \cdot (\frac{π}{180})

Next Step Substitute values of Variables

∴

δ = \frac{360 \cdot 3.0001m}{2 \cdot π \cdot 1.5m} \cdot (\frac{π}{180})

Next Step Substitute values of Constants

∴

δ = \frac{360 \cdot 3.0001m}{2 \cdot 3.1416 \cdot 1.5m} \cdot (\frac{3.1416}{180})

Next Step Prepare to Evaluate

∴

δ = \frac{360 \cdot 3.0001}{2 \cdot 3.1416 \cdot 1.5} \cdot (\frac{3.1416}{180})

Next Step Evaluate

∴

δ = 2.00006666666667rad

LAST Step Rounding Answer

∴

δ = 2.0001rad

Arc Angle given Length of Slip Arc Formula Elements

Variables

Constants

Arc Angle

Arc Angle is the angle formed at the arc of slip circle.

Symbol: δ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Arc Angle

Length of Slip Arc

Length of Slip Arc is the length of the arc formed by slip circle.

Symbol: L^'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Slip Arc

Radial Distance

Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

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 in The Swedish Slip Circle Method category

Go Radial Distance from Center of Rotation given Length of Slip Arc

d radial = \frac{360 \cdot L'}{2 \cdot π \cdot δ \cdot (\frac{180}{π})}

Go Moment of Resistance given Factor of Safety

M r' = f s \cdot M D

Go Driving Moment given Factor of Safety

M D = \frac{M R}{f s}

Go Radial Distance from Centre of Rotation given Factor of Safety

d radial = \frac{f s}{\frac{c u \cdot L'}{W \cdot x'}}

How to Evaluate Arc Angle given Length of Slip Arc?

Arc Angle given Length of Slip Arc evaluator uses Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180) to evaluate the Arc Angle, The Arc Angle given Length of Slip Arc formula is defined as the angular measure of a segment of a circle's circumference, specifically in the context of geotechnical engineering, where it is often used to describe the geometry of a slip surface in slope stability analysis. Arc Angle is denoted by δ symbol.

How to evaluate Arc Angle given Length of Slip Arc using this online evaluator? To use this online evaluator for Arc Angle given Length of Slip Arc, enter Length of Slip Arc (L^') & Radial Distance (d_radial) and hit the calculate button.

FAQs on Arc Angle given Length of Slip Arc

What is the formula to find Arc Angle given Length of Slip Arc?

The formula of Arc Angle given Length of Slip Arc is expressed as Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180). Here is an example- 1.24 = (360*3.0001)/(2*pi*1.5)*(pi/180).

How to calculate Arc Angle given Length of Slip Arc?

With Length of Slip Arc (L^') & Radial Distance (d_radial) we can find Arc Angle given Length of Slip Arc using the formula - Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180). This formula also uses Archimedes' constant .

Can the Arc Angle given Length of Slip Arc be negative?

No, the Arc Angle given Length of Slip Arc, measured in Angle cannot be negative.

Which unit is used to measure Arc Angle given Length of Slip Arc?

Arc Angle given Length of Slip Arc is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Arc Angle given Length of Slip Arc can be measured.

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