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

GoRadial Distance from Centre of Rotation given Factor of Safety Formula

GoRadial Distance from Centre of Rotation given Moment of Resistance Formula

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

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

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

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

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Here is how the Radial Distance from Center of Rotation given Length of Slip Arc equation looks like with Values.

Here is how the Radial Distance from Center of Rotation given Length of Slip Arc equation looks like with Units.

Here is how the Radial Distance from Center of Rotation given Length of Slip Arc equation looks like.

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

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

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

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

Follow our step by step solution on how to calculate Radial Distance from Center of Rotation given Length of Slip Arc?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d radial = \frac{360 \cdot 3.0001m}{2 \cdot π \cdot 2.0001rad \cdot (\frac{180}{π})}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

d radial = 1.49997500124994m

LAST Step Rounding Answer

∴

d radial = 1.5m

Radial Distance from Center of Rotation given Length of Slip Arc Formula Elements

Variables

Constants

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

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

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

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 Radial Distance

Go Radial Distance from Centre of Rotation given Factor of Safety

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

Go Radial Distance from Centre of Rotation given Moment of Resistance

d radial = \frac{M R}{c u \cdot L'}

Go Radial Distance from Centre of Rotation given Mobilized Shear Resistance of Soil

d radial = \frac{c m}{\frac{W \cdot x'}{L'}}

Other formulas in The Swedish Slip Circle Method category

Go Arc Angle given Length of Slip Arc

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

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 Distance between Line of Action of Weight and Line Passing through Center

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

How to Evaluate Radial Distance from Center of Rotation given Length of Slip Arc?

Radial Distance from Center of Rotation given Length of Slip Arc evaluator uses Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi)) to evaluate the Radial Distance, The Radial Distance from Center of Rotation given Length of Slip Arc formula is defined as the distance from the center of a circle (or circular slip surface) to a point on the slip arc, where the rotational movement or failure is analyzed, considering length of slip arc. Radial Distance is denoted by d_radial symbol.

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

FAQs on Radial Distance from Center of Rotation given Length of Slip Arc

What is the formula to find Radial Distance from Center of Rotation given Length of Slip Arc?

The formula of Radial Distance from Center of Rotation given Length of Slip Arc is expressed as Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi)). Here is an example- 0.929954 = (360*3.0001)/(2*pi*2.0001*(180/pi)).

How to calculate Radial Distance from Center of Rotation given Length of Slip Arc?

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

What are the other ways to Calculate Radial Distance?

Here are the different ways to Calculate Radial Distance-

Radial Distance=Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance between LOA and COR))
Radial Distance=Resisting Moment/(Unit Cohesion*Length of Slip Arc)
Radial Distance=Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Distance between LOA and COR)/Length of Slip Arc)

Can the Radial Distance from Center of Rotation given Length of Slip Arc be negative?

Yes, the Radial Distance from Center of Rotation given Length of Slip Arc, measured in Length can be negative.

Which unit is used to measure Radial Distance from Center of Rotation given Length of Slip Arc?

Radial Distance from Center of Rotation given Length of Slip Arc is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radial Distance from Center of Rotation given Length of Slip Arc can be measured.

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