Centrifugal Force for Pickering Governor Calculator

✖Mass Attached at the Centre of the Leaf Spring is the amount of mass attached at the centre of a leaf spring that experiences centrifugal force.ⓘ Mass Attached at the Centre of the Leaf Spring [m]			+10% -10%
✖Angular Speed of the Governor Spindle is the rate of rotation of the governor spindle, which is affected by the centrifugal force acting on it.ⓘ Angular Speed of the Governor Spindle [ω_spindle]			+10% -10%
✖Distance from Spindle Axis to Centre of Gravity is the length from the axis of rotation to the centre of gravity of an object in a rotating system.ⓘ Distance from Spindle Axis to Centre of Gravity [a_cg]			+10% -10%
✖Deflection Center of Leaf Spring is the point on the leaf spring where the centrifugal force acts, causing the spring to bend or deform.ⓘ Deflection Center of Leaf Spring [δ]			+10% -10%

✖Centrifugal Force is the apparent outward force that draws a rotating body away from the center of rotation, resulting in a circular motion.ⓘ Centrifugal Force for Pickering Governor [F_c]

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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 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 that draws a rotating body away from the center of rotation, resulting in a circular motion.
Mass Attached at the Centre of the Leaf Spring - (Measured in Kilogram) - Mass Attached at the Centre of the Leaf Spring is the amount of mass attached at the centre of a leaf spring that experiences centrifugal force.
Angular Speed of the Governor Spindle - Angular Speed of the Governor Spindle is the rate of rotation of the governor spindle, which is affected by the centrifugal force acting on it.
Distance from Spindle Axis to Centre of Gravity - (Measured in Meter) - Distance from Spindle Axis to Centre of Gravity is the length from the axis of rotation to the centre of gravity of an object in a rotating system.
Deflection Center of Leaf Spring - (Measured in Meter) - Deflection Center of Leaf Spring is the point on the leaf spring where the centrifugal force acts, causing the spring to bend or deform.

STEP 1: Convert Input(s) to Base Unit

Mass Attached at the Centre of the Leaf Spring: 4.98 Kilogram --> 4.98 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 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) --> 4.98*8^2*(0.07+0.04)

Evaluating ... ...

F_c = 35.0592

STEP 3: Convert Result to Output's Unit

35.0592 Newton --> No Conversion Required

FINAL ANSWER

35.0592 Newton <-- Centrifugal Force

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Centrifugal Force Calculators

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

LaTeX 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

LaTeX 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 at Maximum Radius of Rotation

LaTeX 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

LaTeX 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

LaTeX Go

What is Pickering Governor?

The Pickering governor is a type of speed governor used to regulate the speed of small steam engines. It has a compact design with several rotating weights connected to a spindle. As the engine speed increases, the weights move outward, controlling the steam supply to maintain a stable speed. It is often used in applications where precise speed control is needed.

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 Center of Leaf Spring) to calculate the Centrifugal Force, Centrifugal Force for Pickering Governor formula is defined as the force that tends to pull a rotating body away from the center of rotation, used to balance the weight of the ball in a Pickering governor, a device that regulates the speed of an engine. 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 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 -> 43.0848 = 4.98*8^2*(0.07+0.04).

FAQ

What is Centrifugal Force for Pickering Governor?

Centrifugal Force for Pickering Governor formula is defined as the force that tends to pull a rotating body away from the center of rotation, used to balance the weight of the ball in a Pickering governor, a device that regulates the speed of an engine 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 Center of Leaf Spring). Mass Attached at the Centre of the Leaf Spring is the amount of mass attached at the centre of a leaf spring that experiences centrifugal force, Angular Speed of the Governor Spindle is the rate of rotation of the governor spindle, which is affected by the centrifugal force acting on it, Distance from Spindle Axis to Centre of Gravity is the length from the axis of rotation to the centre of gravity of an object in a rotating system & Deflection Center of Leaf Spring is the point on the leaf spring where the centrifugal force acts, causing the spring to bend or deform.

How to calculate Centrifugal Force for Pickering Governor?

Centrifugal Force for Pickering Governor formula is defined as the force that tends to pull a rotating body away from the center of rotation, used to balance the weight of the ball in a Pickering governor, a device that regulates the speed of an engine 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 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 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 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 Center of Leaf Spring. We can use 3 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)

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