Centrifugal Force for Pickering Governor Calculator

✖Mass attached at the centre of the leaf spring is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied.ⓘ Mass attached at the centre of the leaf spring [m]			+10% -10%
✖Angular speed of the governor spindle is the speed of the governor spindle in rotational motion.ⓘ Angular speed of the governor spindle [ω_spindle]			+10% -10%
✖Distance from spindle axis to centre of gravity is a numerical measurement of how far apart objects or points are.ⓘ Distance from spindle axis to centre of gravity [a_cg]			+10% -10%
✖Deflection of center of leaf spring is a numerical measurement of how far apart objects or points are.ⓘ Deflection of center of leaf spring [δ]			+10% -10%

✖Centrifugal Force is the apparent outward force on a mass when it is rotated.ⓘ Centrifugal Force for Pickering Governor [F_c]

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Formula

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Centrifugal Force for Pickering Governor

Formula

`"F"_{"c"} = "m"*"ω"_{"spindle"}^2*("a"_{"cg"}+"δ")`

Example

`"59.84N"="8.5kg"*("8")^2*("0.07m"+"0.04m")`

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Centrifugal Force for Pickering Governor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centrifugal Force = Mass attached at the centre of the leaf spring*Angular speed of the governor spindle^2*(Distance from spindle axis to centre of gravity+Deflection of center of leaf spring)
F_c = m*ω_spindle^2*(a_cg+δ)
This formula uses 5 Variables

Variables Used

Centrifugal Force - (Measured in Newton) - Centrifugal Force is the apparent outward force on a mass when it is rotated.
Mass attached at the centre of the leaf spring - (Measured in Kilogram) - Mass attached at the centre of the leaf spring is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied.
Angular speed of the governor spindle - Angular speed of the governor spindle is the speed of the governor spindle in rotational motion.
Distance from spindle axis to centre of gravity - (Measured in Meter) - Distance from spindle axis to centre of gravity is a numerical measurement of how far apart objects or points are.
Deflection of center of leaf spring - (Measured in Meter) - Deflection of center of leaf spring is a numerical measurement of how far apart objects or points are.

STEP 1: Convert Input(s) to Base Unit

Mass attached at the centre of the leaf spring: 8.5 Kilogram --> 8.5 Kilogram No Conversion Required
Angular speed of the governor spindle: 8 --> No Conversion Required
Distance from spindle axis to centre of gravity: 0.07 Meter --> 0.07 Meter No Conversion Required
Deflection of center of leaf spring: 0.04 Meter --> 0.04 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_c = m*ω_spindle^2*(a_cg+δ) --> 8.5*8^2*(0.07+0.04)

Evaluating ... ...

F_c = 59.84

STEP 3: Convert Result to Output's Unit

59.84 Newton --> No Conversion Required

FINAL ANSWER

59.84 Newton <-- Centrifugal Force

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 9 Centrifugal Force Calculators

Centrifugal Force at Maximum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor

Go Centrifugal force at maximum equilibrium speed = Tension in main spring at maximum speed+(Mass on Sleeve*Acceleration due to Gravity+(Tension in auxiliary spring at maximum speed*Distance of auxiliary spring from mid of lever)/Distance of main spring from mid point of lever)*Length of sleeve arm of lever/2*Length of ball arm of lever

Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor

Go Centrifugal force at minimum equilibrium speed = Tension in main spring at minimum speed+(Mass on Sleeve*Acceleration due to Gravity+(Tension in auxiliary spring at minimum speed*Distance of auxiliary spring from mid of lever)/Distance of main spring from mid point of lever)*Length of sleeve arm of lever/2*Length of ball arm of lever

Centrifugal Force on Each Ball for Wilson-Hartnell Governor

Go Centrifugal Force = Tension in the main spring+(Mass on Sleeve*Acceleration due to Gravity+(Tension in the auxiliary spring*Distance of auxiliary spring from mid of lever)/Distance of main spring from mid point of lever)*Length of sleeve arm of lever/2*Length of ball arm of lever

Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force

Go Centrifugal Force = Centrifugal force at minimum radius of rotation+(Centrifugal force at maximum radius of rotation-Centrifugal force at minimum radius of rotation)*(Radius of Rotation if Governor is in Mid-Position-Minimum radius of rotation)/(Maximum radius of rotation-Minimum radius of rotation)

Centrifugal Force at Intermediate Position for Hartnell Governor for Minimum Force

Go Centrifugal Force = Centrifugal force at maximum radius of rotation-(Centrifugal force at maximum radius of rotation-Centrifugal force at minimum radius of rotation)*(Maximum radius of rotation-Radius of Rotation if Governor is in Mid-Position)/(Maximum radius of rotation-Minimum radius of rotation)

Centrifugal Force for Pickering Governor

Go Centrifugal Force = Mass attached at the centre of the leaf spring*Angular speed of the governor spindle^2*(Distance from spindle axis to centre of gravity+Deflection of center of leaf spring)

Centrifugal Force for Hartung Governor

Go Centrifugal Force = Spring Force+(Mass on Sleeve*Acceleration due to Gravity*Length of sleeve arm of lever)/(2*Length of ball arm of lever)

Centrifugal Force at Maximum Radius of Rotation

Go Centrifugal force at maximum radius of rotation = Mass of Ball*Angular speed of governor at maximum radius^2*Maximum radius of rotation

Centrifugal Force at Minimum Radius of Rotation

Go Centrifugal force at minimum radius of rotation = Mass of Ball*Angular speed of governor at minimum radius^2*Minimum radius of rotation

Centrifugal Force for Pickering Governor 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 Centrifugal Force for Pickering Governor?

Centrifugal Force for Pickering Governor calculator uses Centrifugal Force = Mass attached at the centre of the leaf spring*Angular speed of the governor spindle^2*(Distance from spindle axis to centre of gravity+Deflection of center of leaf spring) to calculate the Centrifugal Force, The Centrifugal force for Pickering governor formula is defined as the apparent outward force on a mass when it is rotated. Centrifugal Force is denoted by F_c symbol.

How to calculate Centrifugal Force for Pickering Governor using this online calculator? To use this online calculator for Centrifugal Force for Pickering Governor, enter Mass attached at the centre of the leaf spring (m), Angular speed of the governor spindle (ω_spindle), Distance from spindle axis to centre of gravity (a_cg) & Deflection of center of leaf spring (δ) and hit the calculate button. Here is how the Centrifugal Force for Pickering Governor calculation can be explained with given input values -> 59.84 = 8.5*8^2*(0.07+0.04).

FAQ

What is Centrifugal Force for Pickering Governor?

The Centrifugal force for Pickering governor formula is defined as the apparent outward force on a mass when it is rotated and is represented as F_c = m*ω_spindle^2*(a_cg+δ) or Centrifugal Force = Mass attached at the centre of the leaf spring*Angular speed of the governor spindle^2*(Distance from spindle axis to centre of gravity+Deflection of center of leaf spring). Mass attached at the centre of the leaf spring is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied, Angular speed of the governor spindle is the speed of the governor spindle in rotational motion, Distance from spindle axis to centre of gravity is a numerical measurement of how far apart objects or points are & Deflection of center of leaf spring is a numerical measurement of how far apart objects or points are.

How to calculate Centrifugal Force for Pickering Governor?

The Centrifugal force for Pickering governor formula is defined as the apparent outward force on a mass when it is rotated is calculated using Centrifugal Force = Mass attached at the centre of the leaf spring*Angular speed of the governor spindle^2*(Distance from spindle axis to centre of gravity+Deflection of center of leaf spring). To calculate Centrifugal Force for Pickering Governor, you need Mass attached at the centre of the leaf spring (m), Angular speed of the governor spindle (ω_spindle), Distance from spindle axis to centre of gravity (a_cg) & Deflection of center of leaf spring (δ). With our tool, you need to enter the respective value for Mass attached at the centre of the leaf spring, Angular speed of the governor spindle, Distance from spindle axis to centre of gravity & Deflection of center of leaf spring 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 Centrifugal Force?

In this formula, Centrifugal Force uses Mass attached at the centre of the leaf spring, Angular speed of the governor spindle, Distance from spindle axis to centre of gravity & Deflection of center of leaf spring. We can use 4 other way(s) to calculate the same, which is/are as follows -

Centrifugal Force = Spring Force+(Mass on Sleeve*Acceleration due to Gravity*Length of sleeve arm of lever)/(2*Length of ball arm of lever)
Centrifugal Force = Tension in the main spring+(Mass on Sleeve*Acceleration due to Gravity+(Tension in the auxiliary spring*Distance of auxiliary spring from mid of lever)/Distance of main spring from mid point of lever)*Length of sleeve arm of lever/2*Length of ball arm of lever
Centrifugal Force = Centrifugal force at minimum radius of rotation+(Centrifugal force at maximum radius of rotation-Centrifugal force at minimum radius of rotation)*(Radius of Rotation if Governor is in Mid-Position-Minimum radius of rotation)/(Maximum radius of rotation-Minimum radius of rotation)
Centrifugal Force = Centrifugal force at maximum radius of rotation-(Centrifugal force at maximum radius of rotation-Centrifugal force at minimum radius of rotation)*(Maximum radius of rotation-Radius of Rotation if Governor is in Mid-Position)/(Maximum radius of rotation-Minimum radius of rotation)

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