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

2

GoStiffness of Each Ball Spring Formula

3

GoStiffness of Spring for Hartnell Governor given Total Lift Formula

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Stiffness of spring is a measure of the spring's stiffness. Check FAQs

s = \frac{(S 2 - S 1) \cdot x}{(r 2 - r 1) \cdot y}

s - Stiffness of Spring?S₂ - Spring Force at Maximum Radius of Rotation?S₁ - Spring Force at Minimum Radius of Rotation?x - Length of Ball Arm of Lever?r₂ - Maximum Radius of Rotation?r₁ - Minimum Radius of Rotation?y - Length of Sleeve Arm of Lever?

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

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Here is how the Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor equation looks like with Values.

Here is how the Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor equation looks like with Units.

Here is how the Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor equation looks like.

0.1562 = \frac{(12 - 8) \cdot 0.6}{(15 - 2.2) \cdot 1.2}

0.1562N/m = \frac{(12N - 8N) \cdot 0.6m}{(15m - 2.2m) \cdot 1.2m}

0.1562 = \frac{(12 - 8) \cdot 0.6}{(15 - 2.2) \cdot 1.2}

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

Follow our step by step solution on how to calculate Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor?

FIRST Step Consider the formula

s = \frac{(S 2 - S 1) \cdot x}{(r 2 - r 1) \cdot y}

Next Step Substitute values of Variables

∴

s = \frac{(12N - 8N) \cdot 0.6m}{(15m - 2.2m) \cdot 1.2m}

Next Step Prepare to Evaluate

∴

s = \frac{(12 - 8) \cdot 0.6}{(15 - 2.2) \cdot 1.2}

Next Step Evaluate

∴

s = 0.15625N/m

LAST Step Rounding Answer

∴

s = 0.1562N/m

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

Variables

Stiffness of Spring

Stiffness of spring is a measure of the spring's stiffness.

Symbol: s

Measurement: Surface TensionUnit: N/m

Note: Value can be positive or negative.

Spring Force at Maximum Radius of Rotation

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.

Symbol: S₂

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Spring Force at Minimum Radius of Rotation

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.

Symbol: S₁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Length of Ball Arm of Lever

Length of ball arm of lever is a measure of how long the ball arm is.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Maximum Radius of Rotation

Maximum radius of rotation is the linear distance from its axis of rotation to a point of interest on the body.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Minimum Radius of Rotation

Minimum radius of rotation is the linear distance from its axis of rotation to a point of interest on the body.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Length of Sleeve Arm of Lever

Length of sleeve arm of lever is a measure of how long the sleeve arm is.

Symbol: y

Measurement: LengthUnit: m

Note: Value should be greater than 0.

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Formula and 2000+ more formulas!

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Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Other Formulas to find Stiffness of Spring

Go Stiffness of Each Ball Spring

s = \frac{F ec2 - F ec1}{4 \cdot (r 2 - r 1)}

Go Stiffness of Spring for Hartnell Governor given Total Lift

s = \frac{S 2 - S 1}{h}

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How to Evaluate 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 evaluator 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 evaluate 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 evaluate Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor?

The formula of Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor is expressed as 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). Here is an example- 0.15625 = ((12-8)*0.6)/((15-2.2)*1.2).

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

With 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) we can find Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor using the formula - 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).

What are the other ways to Calculate Stiffness of Spring?

Here are the different ways to Calculate Stiffness of Spring-

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)

Can the Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor be negative?

Yes, the Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor, measured in Surface Tension can be negative.

Which unit is used to measure 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 is usually measured using the Newton per Meter[N/m] for Surface Tension. Millinewton per Meter[N/m], Gram-Force per Centimeter[N/m], Dyne per Centimeter[N/m] are the few other units in which Stiffness of Spring or Force Required to Compress Spring by One mm for Hartnell Governor can be measured.

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