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## Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
wire_diameter_of_inner_spring = sqrt(Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by the Outer Spring)
d2 = sqrt(P2*d1^2/P1)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Force Transmitted by the Inner Spring - Force Transmitted by the Inner Spring is defined as the axial force transmitted by the outermost spring in the concentric springs. (Measured in Newton)
Wire Diameter of Outer Spring - Wire Diameter of Outer Spring is defined as the diameter or the thickness of the outer spring wire. (Measured in Millimeter)
Force Transmitted by the Outer Spring - Force Transmitted by the Outer Spring is defined as the axial force transmitted by the outermost spring in the concentric springs. (Measured in Newton)
STEP 1: Convert Input(s) to Base Unit
Force Transmitted by the Inner Spring: 30 Newton --> 30 Newton No Conversion Required
Wire Diameter of Outer Spring: 50 Millimeter --> 0.05 Meter (Check conversion here)
Force Transmitted by the Outer Spring: 50 Newton --> 50 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d2 = sqrt(P2*d1^2/P1) --> sqrt(30*0.05^2/50)
Evaluating ... ...
d2 = 0.0387298334620742
STEP 3: Convert Result to Output's Unit
0.0387298334620742 Meter -->38.7298334620742 Millimeter (Check conversion here)
38.7298334620742 Millimeter <-- Wire Diameter of inner Spring
(Calculation completed in 00.016 seconds)

## < 10+ Concentric Springs Calculators

Wire Diameter of the Outer Spring When Axial Force Transmitted by the Outer Spring is Given
wire_diameter_of_outer_spring = sqrt(Force Transmitted by the Outer Spring*Wire Diameter of inner Spring^2/Force Transmitted by the Inner Spring) Go
Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given
wire_diameter_of_inner_spring = sqrt(Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by the Outer Spring) Go
Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given
cross_sectional_area_of_outer_spring = Force Transmitted by the Outer Spring*Cross Sectional Area of Inner Spring/Force Transmitted by the Inner Spring Go
Cross-Sectional Area of Inner Spring When Axial Force Transmitted is Given
cross_sectional_area_of_inner_spring = Cross-Sectional Area of Outer Spring*Force Transmitted by the Inner Spring/Force Transmitted by the Outer Spring Go
Axial Force Transmitted by the outer Spring
force_transmitted_by_outer_spring = Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Wire Diameter of inner Spring^2 Go
Axial Force Transmitted by the Inner Spring
force_transmitted_by_inner_spring = (Wire Diameter of inner Spring^2*Force Transmitted by the Outer Spring)/Wire Diameter of Outer Spring Go
Diametrical Clearance Between the Springs
clearance = (Wire Diameter of Outer Spring-Wire Diameter of inner Spring)/2 Go
Wire Diameter of the Inner Spring When Diametrical Clearance Between the Springs is Given
wire_diameter_of_inner_spring = Wire Diameter of Outer Spring-2*Clearance Go
Cross-sectional Area of the Outer Spring Wire
cross_sectional_area = pi*Wire Diameter of Outer Spring^2 Go
Cross-sectional Area of the Inner Spring Wire
cross_sectional_area = pi*Wire Diameter of inner Spring^2 Go

### Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given Formula

wire_diameter_of_inner_spring = sqrt(Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by the Outer Spring)
d2 = sqrt(P2*d1^2/P1)

## Define Concentric Spring?

A concentric spring consists of two helical compression springs, one inside the other, having the same axis. It is also called a 'nested' spring. Adjacent springs having opposite hands, prevent the locking of coils, in the event of axial misalignment or buckling of springs.

## How to Calculate Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given?

Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given calculator uses wire_diameter_of_inner_spring = sqrt(Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by the Outer Spring) to calculate the Wire Diameter of inner Spring, The Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given formula is defined as the thickness of the inner spring wire. Wire Diameter of inner Spring and is denoted by d2 symbol.

How to calculate Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given using this online calculator? To use this online calculator for Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given, enter Force Transmitted by the Inner Spring (P2), Wire Diameter of Outer Spring (d1) and Force Transmitted by the Outer Spring (P1) and hit the calculate button. Here is how the Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given calculation can be explained with given input values -> 38.72983 = sqrt(30*0.05^2/50).

### FAQ

What is Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given?
The Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given formula is defined as the thickness of the inner spring wire and is represented as d2 = sqrt(P2*d1^2/P1) or wire_diameter_of_inner_spring = sqrt(Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by the Outer Spring). Force Transmitted by the Inner Spring is defined as the axial force transmitted by the outermost spring in the concentric springs, Wire Diameter of Outer Spring is defined as the diameter or the thickness of the outer spring wire and Force Transmitted by the Outer Spring is defined as the axial force transmitted by the outermost spring in the concentric springs.
How to calculate Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given?
The Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given formula is defined as the thickness of the inner spring wire is calculated using wire_diameter_of_inner_spring = sqrt(Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by the Outer Spring). To calculate Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given, you need Force Transmitted by the Inner Spring (P2), Wire Diameter of Outer Spring (d1) and Force Transmitted by the Outer Spring (P1). With our tool, you need to enter the respective value for Force Transmitted by the Inner Spring, Wire Diameter of Outer Spring and Force Transmitted by the Outer Spring 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 Wire Diameter of inner Spring?
In this formula, Wire Diameter of inner Spring uses Force Transmitted by the Inner Spring, Wire Diameter of Outer Spring and Force Transmitted by the Outer Spring. We can use 10 other way(s) to calculate the same, which is/are as follows -
• force_transmitted_by_outer_spring = Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Wire Diameter of inner Spring^2
• wire_diameter_of_outer_spring = sqrt(Force Transmitted by the Outer Spring*Wire Diameter of inner Spring^2/Force Transmitted by the Inner Spring)
• wire_diameter_of_inner_spring = sqrt(Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by the Outer Spring)
• force_transmitted_by_inner_spring = (Wire Diameter of inner Spring^2*Force Transmitted by the Outer Spring)/Wire Diameter of Outer Spring
• cross_sectional_area = pi*Wire Diameter of Outer Spring^2
• cross_sectional_area = pi*Wire Diameter of inner Spring^2
• cross_sectional_area_of_outer_spring = Force Transmitted by the Outer Spring*Cross Sectional Area of Inner Spring/Force Transmitted by the Inner Spring
• cross_sectional_area_of_inner_spring = Cross-Sectional Area of Outer Spring*Force Transmitted by the Inner Spring/Force Transmitted by the Outer Spring
• clearance = (Wire Diameter of Outer Spring-Wire Diameter of inner Spring)/2
• wire_diameter_of_inner_spring = Wire Diameter of Outer Spring-2*Clearance
Where is the Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given calculator used?
Among many, Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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