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Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius Formula

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GoStiffness of Each Ball Spring Formula

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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{2 \cdot (F c - F rc1) \cdot x^{2}}{(r - r 1) \cdot y^{2}}

s - Stiffness of Spring?F_c - Centrifugal Force?F_rc1 - Centrifugal Force at Minimum Radius of Rotation?x - Length of Ball Arm of Lever?r - Radius of Rotation if Governor is in Mid-Position?r₁ - Minimum Radius of Rotation?y - Length of Sleeve Arm of Lever?

Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius Example

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Here is how the Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius equation looks like with Values.

Here is how the Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius equation looks like with Units.

Here is how the Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius equation looks like.

0.5833 = \frac{2 \cdot (35 - 15.4) \cdot {0.6}^{2}}{(19 - 2.2) \cdot {1.2}^{2}}

0.5833N/m = \frac{2 \cdot (35N - 15.4N) \cdot {0.6m}^{2}}{(19m - 2.2m) \cdot {1.2m}^{2}}

0.5833 = \frac{2 \cdot (35 - 15.4) \cdot {0.6}^{2}}{(19 - 2.2) \cdot {1.2}^{2}}

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Theory of Machine » fx Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius

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

Follow our step by step solution on how to calculate Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius?

FIRST Step Consider the formula

s = \frac{2 \cdot (F c - F rc1) \cdot x^{2}}{(r - r 1) \cdot y^{2}}

Next Step Substitute values of Variables

∴

s = \frac{2 \cdot (35N - 15.4N) \cdot {0.6m}^{2}}{(19m - 2.2m) \cdot {1.2m}^{2}}

Next Step Prepare to Evaluate

∴

s = \frac{2 \cdot (35 - 15.4) \cdot {0.6}^{2}}{(19 - 2.2) \cdot {1.2}^{2}}

Next Step Evaluate

∴

s = 0.583333333333333N/m

LAST Step Rounding Answer

∴

s = 0.5833N/m

Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius 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.

Formulas to find Stiffness of Spring

Open Variable

Centrifugal Force

Centrifugal Force is the apparent outward force on a mass when it is rotated.

Symbol: F_c

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Centrifugal Force

Open Variable

Centrifugal Force at Minimum Radius of Rotation

Centrifugal force at minimum radius of rotation is the apparent outward force on a mass when it is rotated.

Symbol: F_rc1

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Centrifugal Force at Minimum Radius of Rotation

Open Variable

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.

Formulas to find Length of Ball Arm of Lever

Open Variable

Radius of Rotation if Governor is in Mid-Position

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.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Rotation if Governor is in Mid-Position

Open Variable

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.

Formulas to find Minimum Radius of Rotation

Open Variable

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.

Formulas to find Length of Sleeve Arm of Lever

Open Variable

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}

See More

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How to Evaluate Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius?

Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius evaluator uses 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) to evaluate the Stiffness of Spring, Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius formula is defined as a measure of the spring's ability to resist deformation in a Hartnell governor system, where the centrifugal force at minimum radius is a critical factor in determining the spring's stiffness. Stiffness of Spring is denoted by s symbol.

How to evaluate Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius using this online evaluator? To use this online evaluator for Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius, enter Centrifugal Force (F_c), Centrifugal Force at Minimum Radius of Rotation (F_rc1), Length of Ball Arm of Lever (x), Radius of Rotation if Governor is in Mid-Position (r), Minimum Radius of Rotation (r₁) & Length of Sleeve Arm of Lever (y) and hit the calculate button.

FAQs on Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius

What is the formula to find Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius?

The formula of Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius is expressed as 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). Here is an example- 0.583333 = (2*(35-15.4)*0.6^2)/((19-2.2)*1.2^2).

How to calculate Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius?

With Centrifugal Force (F_c), Centrifugal Force at Minimum Radius of Rotation (F_rc1), Length of Ball Arm of Lever (x), Radius of Rotation if Governor is in Mid-Position (r), Minimum Radius of Rotation (r₁) & Length of Sleeve Arm of Lever (y) we can find Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius using the formula - 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).

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 for Hartnell Governor given Centrifugal Force at Minimum Radius be negative?

Yes, the Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius, measured in Surface Tension can be negative.

Which unit is used to measure Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius?

Stiffness of Spring for Hartnell Governor given Centrifugal Force at Minimum Radius 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 for Hartnell Governor given Centrifugal Force at Minimum Radius can be measured.

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