Stiffness of Each Ball Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stiffness of Spring = (Centrifugal Force at Maximum Equilibrium Speed-Centrifugal Force at Minimum Equilibrium Speed)/(4*(Maximum Radius of Rotation-Minimum Radius of Rotation))
s = (Fec2-Fec1)/(4*(r2-r1))
This formula uses 5 Variables
Variables Used
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of spring is a measure of the spring's stiffness.
Centrifugal Force at Maximum Equilibrium Speed - (Measured in Newton) - Centrifugal force at maximum equilibrium speed is the apparent outward force on a mass when it is rotated.
Centrifugal Force at Minimum Equilibrium Speed - (Measured in Newton) - Centrifugal force at minimum equilibrium speed is the apparent outward force on a mass when it is rotated.
Maximum Radius of Rotation - (Measured in Meter) - Maximum radius of rotation is the linear distance from its axis of rotation to a point of interest on the body.
Minimum Radius of Rotation - (Measured in Meter) - Minimum radius of rotation is the linear distance from its axis of rotation to a point of interest on the body.
STEP 1: Convert Input(s) to Base Unit
Centrifugal Force at Maximum Equilibrium Speed: 16 Newton --> 16 Newton No Conversion Required
Centrifugal Force at Minimum Equilibrium Speed: 10.2 Newton --> 10.2 Newton No Conversion Required
Maximum Radius of Rotation: 15 Meter --> 15 Meter No Conversion Required
Minimum Radius of Rotation: 2.2 Meter --> 2.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = (Fec2-Fec1)/(4*(r2-r1)) --> (16-10.2)/(4*(15-2.2))
Evaluating ... ...
s = 0.11328125
STEP 3: Convert Result to Output's Unit
0.11328125 Newton per Meter --> No Conversion Required
FINAL ANSWER
0.11328125 0.113281 Newton per Meter <-- Stiffness of Spring
(Calculation completed in 00.004 seconds)

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Stiffness of the Spring Calculators

Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius
​ LaTeX ​ Go Stiffness of Spring = (2*(Centrifugal Force at Maximum Radius of Rotation-Centrifugal Force)*Length of Ball Arm of Lever^2)/((Maximum Radius of Rotation-Radius of Rotation if Governor is in Mid-Position)*Length of Sleeve Arm of Lever^2)
Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius
​ LaTeX ​ Go Stiffness of Spring = (2*(Centrifugal Force-Centrifugal Force at Minimum Radius of Rotation)*Length of Ball Arm of Lever^2)/((Radius of Rotation if Governor is in Mid-Position-Minimum Radius of Rotation)*Length of Sleeve Arm of Lever^2)
Stiffness of Each Ball Spring
​ LaTeX ​ Go Stiffness of Spring = (Centrifugal Force at Maximum Equilibrium Speed-Centrifugal Force at Minimum Equilibrium Speed)/(4*(Maximum Radius of Rotation-Minimum Radius of Rotation))
Stiffness of Spring for Hartnell Governor given Total Lift
​ LaTeX ​ Go Stiffness of Spring = (Spring Force at Maximum Radius of Rotation-Spring Force at Minimum Radius of Rotation)/Total Lift of Sleeve

Stiffness of Each Ball Spring Formula

​LaTeX ​Go
Stiffness of Spring = (Centrifugal Force at Maximum Equilibrium Speed-Centrifugal Force at Minimum Equilibrium Speed)/(4*(Maximum Radius of Rotation-Minimum Radius of Rotation))
s = (Fec2-Fec1)/(4*(r2-r1))

What causes centrifugal force?

Centrifugal Force Caused by Inertia. When you swing an object around on a string or rope, the object will pull outward on the rope. The force you feel is called the centrifugal force and is caused by the inertia of the object, where it seeks to follow a straight-line path.

How to Calculate Stiffness of Each Ball Spring?

Stiffness of Each Ball Spring calculator uses Stiffness of Spring = (Centrifugal Force at Maximum Equilibrium Speed-Centrifugal Force at Minimum Equilibrium Speed)/(4*(Maximum Radius of Rotation-Minimum Radius of Rotation)) to calculate the Stiffness of Spring, Stiffness of Each Ball Spring formula is defined as a measure of the spring's ability to resist deformation under an applied force, characterizing the spring's stiffness in terms of the force and displacement. Stiffness of Spring is denoted by s symbol.

How to calculate Stiffness of Each Ball Spring using this online calculator? To use this online calculator for Stiffness of Each Ball Spring, enter Centrifugal Force at Maximum Equilibrium Speed (Fec2), Centrifugal Force at Minimum Equilibrium Speed (Fec1), Maximum Radius of Rotation (r2) & Minimum Radius of Rotation (r1) and hit the calculate button. Here is how the Stiffness of Each Ball Spring calculation can be explained with given input values -> 0.113281 = (16-10.2)/(4*(15-2.2)).

FAQ

What is Stiffness of Each Ball Spring?
Stiffness of Each Ball Spring formula is defined as a measure of the spring's ability to resist deformation under an applied force, characterizing the spring's stiffness in terms of the force and displacement and is represented as s = (Fec2-Fec1)/(4*(r2-r1)) or Stiffness of Spring = (Centrifugal Force at Maximum Equilibrium Speed-Centrifugal Force at Minimum Equilibrium Speed)/(4*(Maximum Radius of Rotation-Minimum Radius of Rotation)). Centrifugal force at maximum equilibrium speed is the apparent outward force on a mass when it is rotated, Centrifugal force at minimum equilibrium speed is the apparent outward force on a mass when it is rotated, Maximum radius of rotation is the linear distance from its axis of rotation to a point of interest on the body & Minimum radius of rotation is the linear distance from its axis of rotation to a point of interest on the body.
How to calculate Stiffness of Each Ball Spring?
Stiffness of Each Ball Spring formula is defined as a measure of the spring's ability to resist deformation under an applied force, characterizing the spring's stiffness in terms of the force and displacement is calculated using Stiffness of Spring = (Centrifugal Force at Maximum Equilibrium Speed-Centrifugal Force at Minimum Equilibrium Speed)/(4*(Maximum Radius of Rotation-Minimum Radius of Rotation)). To calculate Stiffness of Each Ball Spring, you need Centrifugal Force at Maximum Equilibrium Speed (Fec2), Centrifugal Force at Minimum Equilibrium Speed (Fec1), Maximum Radius of Rotation (r2) & Minimum Radius of Rotation (r1). With our tool, you need to enter the respective value for Centrifugal Force at Maximum Equilibrium Speed, Centrifugal Force at Minimum Equilibrium Speed, Maximum Radius of Rotation & Minimum Radius of Rotation 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 Stiffness of Spring?
In this formula, Stiffness of Spring uses Centrifugal Force at Maximum Equilibrium Speed, Centrifugal Force at Minimum Equilibrium Speed, Maximum Radius of Rotation & Minimum Radius of Rotation. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Stiffness of Spring = (Spring Force at Maximum Radius of Rotation-Spring Force at Minimum Radius of Rotation)/Total Lift of Sleeve
  • Stiffness of Spring = (2*(Centrifugal Force at Maximum Radius of Rotation-Centrifugal Force)*Length of Ball Arm of Lever^2)/((Maximum Radius of Rotation-Radius of Rotation if Governor is in Mid-Position)*Length of Sleeve Arm of Lever^2)
  • Stiffness of Spring = (2*(Centrifugal Force-Centrifugal Force at Minimum Radius of Rotation)*Length of Ball Arm of Lever^2)/((Radius of Rotation if Governor is in Mid-Position-Minimum Radius of Rotation)*Length of Sleeve Arm of Lever^2)
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