✖Length of Slip Arc is the length of the arc formed by slip circle.ⓘ Length of Slip Arc [L^']			+10% -10%
✖Arc Angle is the angle formed at the arc of slip circle.ⓘ Arc Angle [δ]			+10% -10%

✖Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance from Center of Rotation given Length of Slip Arc [d_radial]

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Formula

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Radial Distance from Center of Rotation given Length of Slip Arc

Formula

`"d"_{"radial"} = (360*"L"^{"'"})/(2*pi*"δ"*(180/pi))`

Example

`"1.499975m"=(360*"3.0001m")/(2*pi*"2.0001rad"*(180/pi))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))
d_radial = (360*L^')/(2*pi*δ*(180/pi))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radial Distance - (Measured in Meter) - Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.
Arc Angle - (Measured in Radian) - Arc Angle is the angle formed at the arc of slip circle.

STEP 1: Convert Input(s) to Base Unit

Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required
Arc Angle: 2.0001 Radian --> 2.0001 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_radial = (360*L^')/(2*pi*δ*(180/pi)) --> (360*3.0001)/(2*pi*2.0001*(180/pi))

Evaluating ... ...

d_radial = 1.49997500124994

STEP 3: Convert Result to Output's Unit

1.49997500124994 Meter --> No Conversion Required

FINAL ANSWER

1.49997500124994 ≈ 1.499975 Meter <-- Radial Distance

(Calculation completed in 00.004 seconds)

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< 25 The Swedish Slip Circle Method Calculators

Sum of Normal Component given Factor of Safety

Go Sum of All Normal Component in Soil Mechanics = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction of Soil*pi)/180)

Length of Slip Circle given Sum of Tangential Component

Go Length of Slip Arc = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Unit Cohesion

Sum of Tangential Component given Factor of Safety

Go Sum of All Tangential Component in Soil Mechanics = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Factor of Safety

Total Length of Slip Circle given Resisting Moment

Go Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction of Soil))))/Unit Cohesion

Sum of Normal Component given Resisting Moment

Go Sum of all Normal Component = ((Resisting Moment/Radius of Slip Circle)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction of Soil))

Resisting Moment given Radius of Slip Circle

Go Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction of Soil))))

Radial Distance from Centre of Rotation given Factor of Safety

Go Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance between LOA and COR))

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

Go Distance between LOA and COR = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)

Normal Component given Resisting Force from Coulomb's Equation

Go Normal Component of Force in Soil Mechanics = (Resisting Force-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction))

Resisting Force from Coulomb's Equation

Go Resisting Force = ((Unit Cohesion*Curve Length)+(Normal Component of Force*tan((Angle of Internal Friction))))

Curve Length of Each Slice given Resisting Force from Coulomb's Equation

Go Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion

Distance between Line of Action and Line Passing through Center given Mobilized Cohesion

Go Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)

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

Go Radial Distance = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Distance between LOA and COR)/Length of Slip Arc)

Mobilized Shear Resistance of Soil given Weight of Soil on Wedge

Go Mobilized Shear Resistance of Soil = (Weight of Body in Newtons*Distance between LOA and COR*Radial Distance)/Length of Slip Arc

Radial Distance from Center of Rotation given Length of Slip Arc

Go Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))

Arc Angle given Length of Slip Arc

Go Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180)

Radial Distance from Centre of Rotation given Moment of Resistance

Go Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc)

Moment of Resistance given Unit Cohesion

Go Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance)

Sum of Tangential Component given Driving Moment

Go Sum of All Tangential Component in Soil Mechanics = Driving Moment/Radius of Slip Circle

Driving Moment given Radius of Slip Circle

Go Driving Moment = Radius of Slip Circle*Sum of All Tangential Component in Soil Mechanics

Moment of Resistance given Factor of Safety

Go Moment of Resistance with Factor of Safety = Factor of Safety*Driving Moment

Distance between Line of Action and Line Passing through Center given Driving Moment

Go Distance between LOA and COR = Driving Moment/Weight of Body in Newtons

Driving Moment given Weight of Soil on Wedge

Go Driving Moment = Weight of Body in Newtons*Distance between LOA and COR

Mobilized Shear Resistance of Soil given Factor of Safety

Go Mobilized Shear Resistance of Soil = Unit Cohesion/Factor of Safety

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

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

Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))
d_radial = (360*L^')/(2*pi*δ*(180/pi))

What is Center of Rotation?

The center of rotation is a point about which a plane figure rotates. This point does not move during the rotation.

What is Slip Circle?

The slip circle method of slices is commonly used in the analyses of slope stability and bearing capacity for multi-layered ground. However, in the case of ground consisting of horizontal sandy layer, it is known that modified Fellenius׳ method tends to underestimate the factor of safety, while simplified Bishop׳s method tends to overestimate the factor of safety.

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

Radial Distance from Center of Rotation given Length of Slip Arc calculator uses Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi)) to calculate 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 calculate Radial Distance from Center of Rotation given Length of Slip Arc using this online calculator? To use this online calculator 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. Here is how the Radial Distance from Center of Rotation given Length of Slip Arc calculation can be explained with given input values -> 0.929954 = (360*3.0001)/(2*pi*2.0001*(180/pi)).

FAQ

What is Radial Distance from Center of Rotation given Length of Slip Arc?

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 and is represented as d_radial = (360*L^')/(2*pi*δ*(180/pi)) or Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi)). Length of Slip Arc is the length of the arc formed by slip circle & Arc Angle is the angle formed at the arc of slip circle.

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

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 is calculated using Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi)). To calculate Radial Distance from Center of Rotation given Length of Slip Arc, you need Length of Slip Arc (L^') & Arc Angle (δ). With our tool, you need to enter the respective value for Length of Slip Arc & Arc Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radial Distance?

In this formula, Radial Distance uses Length of Slip Arc & Arc Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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