Centrifugal Force on Each Ball for Wilson-Hartnell Governor Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Fc = P+(M*g+(Sauxiliary*b)/a)*y/2*xball arm
This formula uses 9 Variables
Variables Used
Centrifugal Force - (Measured in Newton) - Centrifugal Force is the apparent outward force on a mass when it is rotated.
Tension in the main spring - (Measured in Newton) - Tension in the main spring is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends.
Mass on Sleeve - (Measured in Kilogram) - Mass on sleeve is the measure of the quantity of matter that a body or an object contains.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Tension in the auxiliary spring - (Measured in Newton) - Tension in the auxiliary spring is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends.
Distance of auxiliary spring from mid of lever - (Measured in Meter) - Distance of auxiliary spring from mid of lever is the measurement of how far apart points are.
Distance of main spring from mid point of lever - (Measured in Meter) - Distance of main spring from mid point of lever is the measurement of how far apart points are.
Length of sleeve arm of lever - (Measured in Meter) - Length of sleeve arm of lever is a measure of how long the sleeve arm is.
Length of ball arm of lever - (Measured in Meter) - Length of ball arm of lever is a measure of how long the ball arm is.
STEP 1: Convert Input(s) to Base Unit
Tension in the main spring: 10 Newton --> 10 Newton No Conversion Required
Mass on Sleeve: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Tension in the auxiliary spring: 6.6 Newton --> 6.6 Newton No Conversion Required
Distance of auxiliary spring from mid of lever: 3.26 Meter --> 3.26 Meter No Conversion Required
Distance of main spring from mid point of lever: 0.2 Meter --> 0.2 Meter No Conversion Required
Length of sleeve arm of lever: 1.2 Meter --> 1.2 Meter No Conversion Required
Length of ball arm of lever: 0.6 Meter --> 0.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fc = P+(M*g+(Sauxiliary*b)/a)*y/2*xball arm --> 10+(12.6*9.8+(6.6*3.26)/0.2)*1.2/2*0.6
Evaluating ... ...
Fc = 93.1816
STEP 3: Convert Result to Output's Unit
93.1816 Newton --> No Conversion Required
FINAL ANSWER
93.1816 Newton <-- Centrifugal Force
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Birsa Institute of Technology (BIT), Sindri
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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 on Each Ball for Wilson-Hartnell Governor Formula

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
Fc = P+(M*g+(Sauxiliary*b)/a)*y/2*xball arm

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 on Each Ball for Wilson-Hartnell Governor?

Centrifugal Force on Each Ball for Wilson-Hartnell Governor calculator uses 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 to calculate the Centrifugal Force, The Centrifugal Force on Each Ball for Wilson-Hartnell Governor formula is defined as the apparent outward force on a mass when it is rotated. Centrifugal Force is denoted by Fc symbol.

How to calculate Centrifugal Force on Each Ball for Wilson-Hartnell Governor using this online calculator? To use this online calculator for Centrifugal Force on Each Ball for Wilson-Hartnell Governor, enter Tension in the main spring (P), Mass on Sleeve (M), Acceleration due to Gravity (g), Tension in the auxiliary spring (Sauxiliary), Distance of auxiliary spring from mid of lever (b), Distance of main spring from mid point of lever (a), Length of sleeve arm of lever (y) & Length of ball arm of lever (xball arm) and hit the calculate button. Here is how the Centrifugal Force on Each Ball for Wilson-Hartnell Governor calculation can be explained with given input values -> 93.1816 = 10+(12.6*9.8+(6.6*3.26)/0.2)*1.2/2*0.6.

FAQ

What is Centrifugal Force on Each Ball for Wilson-Hartnell Governor?
The Centrifugal Force on Each Ball for Wilson-Hartnell Governor formula is defined as the apparent outward force on a mass when it is rotated and is represented as Fc = P+(M*g+(Sauxiliary*b)/a)*y/2*xball arm or 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. Tension in the main spring is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends, Mass on sleeve is the measure of the quantity of matter that a body or an object contains, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Tension in the auxiliary spring is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends, Distance of auxiliary spring from mid of lever is the measurement of how far apart points are, Distance of main spring from mid point of lever is the measurement of how far apart points are, Length of sleeve arm of lever is a measure of how long the sleeve arm is & Length of ball arm of lever is a measure of how long the ball arm is.
How to calculate Centrifugal Force on Each Ball for Wilson-Hartnell Governor?
The Centrifugal Force on Each Ball for Wilson-Hartnell Governor formula is defined as the apparent outward force on a mass when it is rotated is calculated using 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. To calculate Centrifugal Force on Each Ball for Wilson-Hartnell Governor, you need Tension in the main spring (P), Mass on Sleeve (M), Acceleration due to Gravity (g), Tension in the auxiliary spring (Sauxiliary), Distance of auxiliary spring from mid of lever (b), Distance of main spring from mid point of lever (a), Length of sleeve arm of lever (y) & Length of ball arm of lever (xball arm). With our tool, you need to enter the respective value for 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 & Length of ball arm of lever 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 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 & Length of ball arm of lever. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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 = Spring Force+(Mass on Sleeve*Acceleration due to Gravity*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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