Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stiffness of Spring = ((Spring Force at Maximum Radius of Rotation-Spring Force at Minimum Radius of Rotation)*Length of Ball Arm of Lever)/((Maximum Radius of Rotation-Minimum Radius of Rotation)*Length of Sleeve Arm of Lever)
s = ((S2-S1)*x)/((r2-r1)*y)
This formula uses 7 Variables
Variables Used
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of spring is a measure of the spring's stiffness.
Spring Force at Maximum Radius of Rotation - (Measured in Newton) - Spring force at maximum radius of rotation is the force exerted by a compressed or stretched spring upon any object that is attached to it.
Spring Force at Minimum Radius of Rotation - (Measured in Newton) - Spring force at minimum radius of rotation is the force exerted by a compressed or stretched spring upon any object that is attached to it.
Length of Ball Arm of Lever - (Measured in Meter) - Length of ball arm of lever is a measure of how long the ball arm is.
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.
Length of Sleeve Arm of Lever - (Measured in Meter) - Length of sleeve arm of lever is a measure of how long the sleeve arm is.
STEP 1: Convert Input(s) to Base Unit
Spring Force at Maximum Radius of Rotation: 12 Newton --> 12 Newton No Conversion Required
Spring Force at Minimum Radius of Rotation: 8 Newton --> 8 Newton No Conversion Required
Length of Ball Arm of Lever: 0.6 Meter --> 0.6 Meter 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
Length of Sleeve Arm of Lever: 1.2 Meter --> 1.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = ((S2-S1)*x)/((r2-r1)*y) --> ((12-8)*0.6)/((15-2.2)*1.2)
Evaluating ... ...
s = 0.15625
STEP 3: Convert Result to Output's Unit
0.15625 Newton per Meter --> No Conversion Required
FINAL ANSWER
0.15625 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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Birsa Institute of Technology (BIT), Sindri
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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 Spring or Force Required to Compress Spring by One mm for Hartnell Governor Formula

​LaTeX ​Go
Stiffness of Spring = ((Spring Force at Maximum Radius of Rotation-Spring Force at Minimum Radius of Rotation)*Length of Ball Arm of Lever)/((Maximum Radius of Rotation-Minimum Radius of Rotation)*Length of Sleeve Arm of Lever)
s = ((S2-S1)*x)/((r2-r1)*y)

What is spring stiffness?

The stiffness, k, of a body is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

How to Calculate Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor?

Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor calculator uses Stiffness of Spring = ((Spring Force at Maximum Radius of Rotation-Spring Force at Minimum Radius of Rotation)*Length of Ball Arm of Lever)/((Maximum Radius of Rotation-Minimum Radius of Rotation)*Length of Sleeve Arm of Lever) to calculate the Stiffness of Spring, Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor formula is defined as the measure of the force required to compress a spring by one millimeter, which is a critical parameter in the Hartnell Governor mechanism, used to regulate the speed of an engine. Stiffness of Spring is denoted by s symbol.

How to calculate Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor using this online calculator? To use this online calculator for Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor, enter Spring Force at Maximum Radius of Rotation (S2), Spring Force at Minimum Radius of Rotation (S1), Length of Ball Arm of Lever (x), Maximum Radius of Rotation (r2), Minimum Radius of Rotation (r1) & Length of Sleeve Arm of Lever (y) and hit the calculate button. Here is how the Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor calculation can be explained with given input values -> 0.15625 = ((12-8)*0.6)/((15-2.2)*1.2).

FAQ

What is Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor?
Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor formula is defined as the measure of the force required to compress a spring by one millimeter, which is a critical parameter in the Hartnell Governor mechanism, used to regulate the speed of an engine and is represented as s = ((S2-S1)*x)/((r2-r1)*y) or Stiffness of Spring = ((Spring Force at Maximum Radius of Rotation-Spring Force at Minimum Radius of Rotation)*Length of Ball Arm of Lever)/((Maximum Radius of Rotation-Minimum Radius of Rotation)*Length of Sleeve Arm of Lever). Spring force at maximum radius of rotation is the force exerted by a compressed or stretched spring upon any object that is attached to it, Spring force at minimum radius of rotation is the force exerted by a compressed or stretched spring upon any object that is attached to it, Length of ball arm of lever is a measure of how long the ball arm is, 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 & Length of sleeve arm of lever is a measure of how long the sleeve arm is.
How to calculate Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor?
Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor formula is defined as the measure of the force required to compress a spring by one millimeter, which is a critical parameter in the Hartnell Governor mechanism, used to regulate the speed of an engine is calculated using Stiffness of Spring = ((Spring Force at Maximum Radius of Rotation-Spring Force at Minimum Radius of Rotation)*Length of Ball Arm of Lever)/((Maximum Radius of Rotation-Minimum Radius of Rotation)*Length of Sleeve Arm of Lever). To calculate Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor, you need Spring Force at Maximum Radius of Rotation (S2), Spring Force at Minimum Radius of Rotation (S1), Length of Ball Arm of Lever (x), Maximum Radius of Rotation (r2), Minimum Radius of Rotation (r1) & Length of Sleeve Arm of Lever (y). With our tool, you need to enter the respective value for Spring Force at Maximum Radius of Rotation, Spring Force at Minimum Radius of Rotation, Length of Ball Arm of Lever, Maximum Radius of Rotation, Minimum Radius of Rotation & Length of Sleeve Arm of Lever 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 Spring Force at Maximum Radius of Rotation, Spring Force at Minimum Radius of Rotation, Length of Ball Arm of Lever, Maximum Radius of Rotation, Minimum Radius of Rotation & Length of Sleeve Arm of Lever. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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 = (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)
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