Stiffness of Spring for Hartnell Governor given Centrifugal Force Calculator

✖Centrifugal force at maximum radius of rotation is the apparent outward force on a mass when it is rotated.ⓘ Centrifugal Force at Maximum Radius of Rotation [F_rc2]			+10% -10%
✖Centrifugal force at minimum radius of rotation is the apparent outward force on a mass when it is rotated.ⓘ Centrifugal Force at Minimum Radius of Rotation [F_rc1]			+10% -10%
✖Length of ball arm of lever is a measure of how long the ball arm is.ⓘ Length of Ball Arm of Lever [x]			+10% -10%
✖Maximum radius of rotation is the linear distance from its axis of rotation to a point of interest on the body.ⓘ Maximum Radius of Rotation [r₂]			+10% -10%
✖Minimum radius of rotation is the linear distance from its axis of rotation to a point of interest on the body.ⓘ Minimum Radius of Rotation [r₁]			+10% -10%
✖Length of sleeve arm of lever is a measure of how long the sleeve arm is.ⓘ Length of Sleeve Arm of Lever [y]			+10% -10%

✖Stiffness of spring is a measure of the spring's stiffness.ⓘ Stiffness of Spring for Hartnell Governor given Centrifugal Force [s]

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Stiffness of Spring for Hartnell Governor given Centrifugal Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
s = (2*(F_rc2-F_rc1)*x^2)/((r₂-r₁)*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 at Minimum Radius of Rotation - (Measured in Newton) - Centrifugal force at minimum radius of rotation 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.
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

Centrifugal Force at Maximum Radius of Rotation: 21 Newton --> 21 Newton No Conversion Required
Centrifugal Force at Minimum Radius of Rotation: 15.4 Newton --> 15.4 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 = (2*(F_rc2-F_rc1)*x^2)/((r₂-r₁)*y^2) --> (2*(21-15.4)*0.6^2)/((15-2.2)*1.2^2)

Evaluating ... ...

s = 0.21875

STEP 3: Convert Result to Output's Unit

0.21875 Newton per Meter --> No Conversion Required

FINAL ANSWER

0.21875 Newton per Meter <-- Stiffness of Spring

(Calculation completed in 00.008 seconds)

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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 Spring for Hartnell Governor given Centrifugal Force Formula

LaTeX Go

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?

Stiffness of Spring for Hartnell Governor given Centrifugal Force calculator uses 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) to calculate the Stiffness of Spring, Stiffness of Spring for Hartnell Governor given Centrifugal Force formula is defined as a measure of the spring's ability to resist deformation in response to an external force, specifically in the context of the Hartnell Governor, where the centrifugal force is a key factor in determining the spring's stiffness. Stiffness of Spring is denoted by s symbol.

How to calculate Stiffness of Spring for Hartnell Governor given Centrifugal Force using this online calculator? To use this online calculator for Stiffness of Spring for Hartnell Governor given Centrifugal Force, enter Centrifugal Force at Maximum Radius of Rotation (F_rc2), Centrifugal Force at Minimum Radius of Rotation (F_rc1), 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 for Hartnell Governor given Centrifugal Force calculation can be explained with given input values -> 0.21875 = (2*(21-15.4)*0.6^2)/((15-2.2)*1.2^2).

FAQ

What is Stiffness of Spring for Hartnell Governor given Centrifugal Force?

Stiffness of Spring for Hartnell Governor given Centrifugal Force formula is defined as a measure of the spring's ability to resist deformation in response to an external force, specifically in the context of the Hartnell Governor, where the centrifugal force is a key factor in determining the spring's stiffness and is represented as s = (2*(F_rc2-F_rc1)*x^2)/((r₂-r₁)*y^2) or 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). Centrifugal force at maximum radius of rotation is the apparent outward force on a mass when it is rotated, Centrifugal force at minimum radius of rotation 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, 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 for Hartnell Governor given Centrifugal Force?

Stiffness of Spring for Hartnell Governor given Centrifugal Force formula is defined as a measure of the spring's ability to resist deformation in response to an external force, specifically in the context of the Hartnell Governor, where the centrifugal force is a key factor in determining the spring's stiffness is calculated using 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). To calculate Stiffness of Spring for Hartnell Governor given Centrifugal Force, you need Centrifugal Force at Maximum Radius of Rotation (F_rc2), Centrifugal Force at Minimum Radius of Rotation (F_rc1), 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 Centrifugal Force at Maximum Radius of Rotation, Centrifugal 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 Centrifugal Force at Maximum Radius of Rotation, Centrifugal 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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