Stiffness of Each Ball Spring Calculator

✖Centrifugal force at maximum equilibrium speed is the apparent outward force on a mass when it is rotated.ⓘ Centrifugal force at maximum equilibrium speed [F_ec2]			+10% -10%
✖Centrifugal force at minimum equilibrium speed is the apparent outward force on a mass when it is rotated.ⓘ Centrifugal force at minimum equilibrium speed [F_ec1]			+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%

✖Stiffness of spring is a measure of the spring's stiffness.ⓘ Stiffness of Each Ball Spring [s]

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Formula

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Stiffness of Each Ball Spring

Formula

`"s" = ("F"_{"ec2"}-"F"_{"ec1"})/(4*("r"_{"2"}-"r"_{"1"}))`

Example

`"0.113281N/m"=("16N"-"10.2N")/(4*("15m"-"2.2m"))`

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Stiffness of Each Ball Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness of spring = (Centrifugal force at maximum equilibrium speed-Centrifugal force at minimum equilibrium speed)/(4*(Maximum radius of rotation-Minimum radius of rotation))
s = (F_ec2-F_ec1)/(4*(r₂-r₁))
This formula uses 5 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 equilibrium speed - (Measured in Newton) - Centrifugal force at maximum equilibrium speed is the apparent outward force on a mass when it is rotated.
Centrifugal force at minimum equilibrium speed - (Measured in Newton) - Centrifugal force at minimum equilibrium speed is the apparent outward force on a mass when it is rotated.
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.

STEP 1: Convert Input(s) to Base Unit

Centrifugal force at maximum equilibrium speed: 16 Newton --> 16 Newton No Conversion Required
Centrifugal force at minimum equilibrium speed: 10.2 Newton --> 10.2 Newton 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = (F_ec2-F_ec1)/(4*(r₂-r₁)) --> (16-10.2)/(4*(15-2.2))

Evaluating ... ...

s = 0.11328125

STEP 3: Convert Result to Output's Unit

0.11328125 Newton per Meter --> No Conversion Required

FINAL ANSWER

0.11328125 ≈ 0.113281 Newton per Meter <-- Stiffness of spring

(Calculation completed in 00.004 seconds)

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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 Each Ball Spring Formula

What causes centrifugal force?

Centrifugal Force Caused by Inertia. When you swing an object around on a string or rope, the object will pull outward on the rope. The force you feel is called the centrifugal force and is caused by the inertia of the object, where it seeks to follow a straight-line path.

How to Calculate Stiffness of Each Ball Spring?

Stiffness of Each Ball Spring calculator uses Stiffness of spring = (Centrifugal force at maximum equilibrium speed-Centrifugal force at minimum equilibrium speed)/(4*(Maximum radius of rotation-Minimum radius of rotation)) to calculate the Stiffness of spring, The Stiffness of each ball spring formula is defined as the apparent outward force on a mass when it is rotated. Stiffness of spring is denoted by s symbol.

How to calculate Stiffness of Each Ball Spring using this online calculator? To use this online calculator for Stiffness of Each Ball Spring, enter Centrifugal force at maximum equilibrium speed (F_ec2), Centrifugal force at minimum equilibrium speed (F_ec1), Maximum radius of rotation (r₂) & Minimum radius of rotation (r₁) and hit the calculate button. Here is how the Stiffness of Each Ball Spring calculation can be explained with given input values -> 0.113281 = (16-10.2)/(4*(15-2.2)).

FAQ

What is Stiffness of Each Ball Spring?

The Stiffness of each ball spring formula is defined as the apparent outward force on a mass when it is rotated and is represented as s = (F_ec2-F_ec1)/(4*(r₂-r₁)) or Stiffness of spring = (Centrifugal force at maximum equilibrium speed-Centrifugal force at minimum equilibrium speed)/(4*(Maximum radius of rotation-Minimum radius of rotation)). Centrifugal force at maximum equilibrium speed is the apparent outward force on a mass when it is rotated, Centrifugal force at minimum equilibrium speed is the apparent outward force on a mass when it is rotated, 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.

How to calculate Stiffness of Each Ball Spring?

The Stiffness of each ball spring formula is defined as the apparent outward force on a mass when it is rotated is calculated using Stiffness of spring = (Centrifugal force at maximum equilibrium speed-Centrifugal force at minimum equilibrium speed)/(4*(Maximum radius of rotation-Minimum radius of rotation)). To calculate Stiffness of Each Ball Spring, you need Centrifugal force at maximum equilibrium speed (F_ec2), Centrifugal force at minimum equilibrium speed (F_ec1), Maximum radius of rotation (r₂) & Minimum radius of rotation (r₁). With our tool, you need to enter the respective value for Centrifugal force at maximum equilibrium speed, Centrifugal force at minimum equilibrium speed, Maximum radius of rotation & Minimum radius of rotation 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 equilibrium speed, Centrifugal force at minimum equilibrium speed, Maximum radius of rotation & Minimum radius of rotation. We can use 5 other way(s) to calculate the same, which is/are as follows -

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)
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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