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ridge length (s) of Great Icosahedron given ridge length (t) Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = ((1+sqrt(5))/2)*((10*length 1)/(sqrt(2)*(5+3*sqrt(5))))
l = ((1+sqrt(5))/2)*((10*l1)/(sqrt(2)*(5+3*sqrt(5))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
length 1 - Length 1 is the length of the first body. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
length 1: 1 Meter --> 1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = ((1+sqrt(5))/2)*((10*l1)/(sqrt(2)*(5+3*sqrt(5)))) --> ((1+sqrt(5))/2)*((10*1)/(sqrt(2)*(5+3*sqrt(5))))
Evaluating ... ...
l = 0.977197537924274
STEP 3: Convert Result to Output's Unit
0.977197537924274 Meter --> No Conversion Required
FINAL ANSWER
0.977197537924274 Meter <-- Length
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Outer surface temperature of a composite wall of 3 layers for a given heat flow rate
outer_surface_temperature = inner surface temperature-(heat flow rate*((length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area))+(length 3/(thermal conductivity 3*Area)))) Go
Length of the 3rd layer of the composite wall for a given temperature difference
length_3 = (thermal conductivity 3*Area)*(((inner surface temperature-outer surface temperature)/heat flow rate)-(length 1/(thermal conductivity 1*Area))-(length 2/(thermal conductivity 2*Area))) Go
Heat flow rate through a composite wall of 3 layers in series
heat_flow_rate = (inner surface temperature-outer surface temperature)/((length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area))+(length 3/(thermal conductivity 3*Area))) Go
Area of a composite wall of 3 layers
area = (heat flow rate/(inner surface temperature-outer surface temperature))*((length 1/thermal conductivity 1)+(length 2/thermal conductivity 2)+(length 3/thermal conductivity 3)) Go
Thermal resistance of a composite wall with 3 layers in series
thermal_resistance = (length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area))+(length 3/(thermal conductivity 3*Area)) Go
Outer surface temperature of a composite wall of 2 layers for a given heat flow rate
outer_surface_temperature = inner surface temperature-(heat flow rate*((length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area)))) Go
Length of the 2nd layer of the composite wall for a given temperature difference
length_2 = (thermal conductivity 2*Area)*(((inner surface temperature-outer surface temperature)/heat flow rate)-(length 1/(thermal conductivity 1*Area))) Go
Inner surface temperature of a composite wall of 2 layers in series
inner_surface_temperature = outer surface temperature+(heat flow rate*((length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area)))) Go
Heat flow rate through a composite wall of 2 layers in series
heat_flow_rate = (inner surface temperature-outer surface temperature)/((length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area))) Go
Area of a composite wall of 2 layers
area = (heat flow rate/(inner surface temperature-outer surface temperature))*((length 1/thermal conductivity 1)+(length 2/thermal conductivity 2)) Go
Thermal resistance of a composite wall with 2 layers in series
thermal_resistance = (length 1/(thermal conductivity 1*Area))+(length 2/(thermal conductivity 2*Area)) Go

11 Other formulas that calculate the same Output

Unbraced Member Length when Critical Bending Moment of Rectangular Beam is Given
length = (pi/Critical Bending Moment)*(sqrt(Modulus Of Elasticity*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional constant)) Go
Length over which Deformation Takes Place when Strain Energy in Shear is Given
length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2) Go
Length of rectangle when diagonal and angle between two diagonal are given
length = Diagonal*sin(sinϑ/2) Go
Length of a rectangle in terms of diagonal and angle between diagonal and breadth
length = Diagonal*sin(sinϑ) Go
Length of rectangle when diagonal and breadth are given
length = sqrt(Diagonal^2-Breadth^2) Go
Length of rectangle when perimeter and breadth are given
length = (Perimeter-2*Breadth)/2 Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Length of the major axis of an ellipse (b>a)
length = 2*Major axis Go
Length of major axis of an ellipse (a>b)
length = 2*Major axis Go
Length of minor axis of an ellipse (a>b)
length = 2*Minor axis Go
Length of minor axis of an ellipse (b>a)
length = 2*Minor axis Go

ridge length (s) of Great Icosahedron given ridge length (t) Formula

length = ((1+sqrt(5))/2)*((10*length 1)/(sqrt(2)*(5+3*sqrt(5))))
l = ((1+sqrt(5))/2)*((10*l1)/(sqrt(2)*(5+3*sqrt(5))))

What is Great Icosahedron?

In geometry, the great icosahedron is one of four Kepler–Poinsot polyhedra, with Schläfli symbol {3, ​⁵⁄₂} and Coxeter–Dynkin diagram of. It is composed of 20 intersecting triangular faces, having five triangles meeting at each vertex in a pentagrammic sequence.

How to Calculate ridge length (s) of Great Icosahedron given ridge length (t)?

ridge length (s) of Great Icosahedron given ridge length (t) calculator uses length = ((1+sqrt(5))/2)*((10*length 1)/(sqrt(2)*(5+3*sqrt(5)))) to calculate the Length, The ridge length (s) of Great Icosahedron given ridge length (t) formula is defined as measurement of a long, narrow crest of Great Icosahedron. Length and is denoted by l symbol.

How to calculate ridge length (s) of Great Icosahedron given ridge length (t) using this online calculator? To use this online calculator for ridge length (s) of Great Icosahedron given ridge length (t), enter length 1 (l1) and hit the calculate button. Here is how the ridge length (s) of Great Icosahedron given ridge length (t) calculation can be explained with given input values -> 0.977198 = ((1+sqrt(5))/2)*((10*1)/(sqrt(2)*(5+3*sqrt(5)))).

FAQ

What is ridge length (s) of Great Icosahedron given ridge length (t)?
The ridge length (s) of Great Icosahedron given ridge length (t) formula is defined as measurement of a long, narrow crest of Great Icosahedron and is represented as l = ((1+sqrt(5))/2)*((10*l1)/(sqrt(2)*(5+3*sqrt(5)))) or length = ((1+sqrt(5))/2)*((10*length 1)/(sqrt(2)*(5+3*sqrt(5)))). Length 1 is the length of the first body.
How to calculate ridge length (s) of Great Icosahedron given ridge length (t)?
The ridge length (s) of Great Icosahedron given ridge length (t) formula is defined as measurement of a long, narrow crest of Great Icosahedron is calculated using length = ((1+sqrt(5))/2)*((10*length 1)/(sqrt(2)*(5+3*sqrt(5)))). To calculate ridge length (s) of Great Icosahedron given ridge length (t), you need length 1 (l1). With our tool, you need to enter the respective value for length 1 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 Length?
In this formula, Length uses length 1. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • length = sqrt(Diagonal^2-Breadth^2)
  • length = Area/Breadth
  • length = (Perimeter-2*Breadth)/2
  • length = Diagonal*sin(sinϑ)
  • length = Diagonal*sin(sinϑ/2)
  • length = 2*Major axis
  • length = 2*Major axis
  • length = 2*Minor axis
  • length = 2*Minor axis
  • length = (pi/Critical Bending Moment)*(sqrt(Modulus Of Elasticity*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional constant))
  • length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2)
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