Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
s = (2*(Frc2-Fc)*xball arm^2)/((r2-rrotation)*y^2)
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.
Centrifugal force at maximum radius of rotation - (Measured in Newton) - Centrifugal force at maximum radius of rotation is the apparent outward force on a mass when it is rotated.
Centrifugal Force - (Measured in Newton) - Centrifugal Force is the apparent outward force on a mass when it is rotated.
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.
Radius of Rotation if Governor is in Mid-Position - (Measured in Meter) - Radius of Rotation if Governor is in Mid-Position 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
Centrifugal force at maximum radius of rotation: 21 Newton --> 21 Newton No Conversion Required
Centrifugal Force: 35 Newton --> 35 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
Radius of Rotation if Governor is in Mid-Position: 19 Meter --> 19 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 = (2*(Frc2-Fc)*xball arm^2)/((r2-rrotation)*y^2) --> (2*(21-35)*0.6^2)/((15-19)*1.2^2)
Evaluating ... ...
s = 1.75
STEP 3: Convert Result to Output's Unit
1.75 Newton per Meter --> No Conversion Required
FINAL ANSWER
1.75 Newton per Meter <-- Stiffness of spring
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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6 Stiffness of the Spring Calculators

Stiffness of Spring for Hartnell Governor given Centrifugal Force
Go Stiffness of spring = (2*(Centrifugal force at maximum radius of rotation-Centrifugal force at minimum radius of rotation)*Length of ball arm of lever^2)/((Maximum radius of rotation-Minimum radius of rotation)*Length of sleeve arm of lever^2)
Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius
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
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 Spring or Force Required to Compress Spring by One mm for Hartnell Governor
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)
Stiffness of Each Ball Spring
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
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 for Hartnell Governor given Centrifugal Force at Maximum Radius Formula

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)
s = (2*(Frc2-Fc)*xball arm^2)/((r2-rrotation)*y^2)

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 for Hartnell Governor given Centrifugal Force at Maximum Radius?

Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius calculator uses 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) to calculate the Stiffness of spring, Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius formula is defined as the measure of the resistance offered by an elastic body to deformation. Stiffness of spring is denoted by s symbol.

How to calculate Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius using this online calculator? To use this online calculator for Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius, enter Centrifugal force at maximum radius of rotation (Frc2), Centrifugal Force (Fc), Length of ball arm of lever (xball arm), Maximum radius of rotation (r2), Radius of Rotation if Governor is in Mid-Position (rrotation) & Length of sleeve arm of lever (y) and hit the calculate button. Here is how the Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius calculation can be explained with given input values -> 1.75 = (2*(21-35)*0.6^2)/((15-19)*1.2^2).

FAQ

What is Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius?
Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius formula is defined as the measure of the resistance offered by an elastic body to deformation and is represented as s = (2*(Frc2-Fc)*xball arm^2)/((r2-rrotation)*y^2) or 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). Centrifugal force at maximum radius of rotation is the apparent outward force on a mass when it is rotated, Centrifugal Force is the apparent outward force on a mass when it is rotated, 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, Radius of Rotation if Governor is in Mid-Position 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 for Hartnell Governor given Centrifugal Force at Maximum Radius?
Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius formula is defined as the measure of the resistance offered by an elastic body to deformation is calculated using 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). To calculate Stiffness of Spring for Hartnell Governor given Centrifugal Force at Maximum Radius, you need Centrifugal force at maximum radius of rotation (Frc2), Centrifugal Force (Fc), Length of ball arm of lever (xball arm), Maximum radius of rotation (r2), Radius of Rotation if Governor is in Mid-Position (rrotation) & Length of sleeve arm of lever (y). With our tool, you need to enter the respective value for Centrifugal force at maximum radius of rotation, Centrifugal Force, Length of ball arm of lever, Maximum radius of rotation, Radius of Rotation if Governor is in Mid-Position & 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 Centrifugal force at maximum radius of rotation, Centrifugal Force, Length of ball arm of lever, Maximum radius of rotation, Radius of Rotation if Governor is in Mid-Position & Length of sleeve arm of lever. We can use 5 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-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 spring = (2*(Centrifugal force at maximum radius of rotation-Centrifugal force at minimum radius of rotation)*Length of ball arm of lever^2)/((Maximum radius of rotation-Minimum radius of rotation)*Length of sleeve arm of lever^2)
  • 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)
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