Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Fc = Frc1+(Frc2-Frc1)*(rrotation-r1)/(r2-r1)
This formula uses 6 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.
Centrifugal Force at Minimum Radius of Rotation - (Measured in Newton) - Centrifugal Force at Minimum Radius of Rotation is the force that acts on an object as it rotates around a circular path at its minimum radius.
Centrifugal Force at Maximum Radius of Rotation - (Measured in Newton) - Centrifugal Force at Maximum Radius of Rotation is the outward force that draws a rotating body away from the center of rotation at maximum radius.
Radius of Rotation if Governor is in Mid-Position - (Measured in Meter) - Radius of Rotation if Governor is in Mid-Position is the distance from the axis of rotation to the point where the governor is positioned.
Minimum Radius of Rotation - (Measured in Meter) - Minimum Radius of Rotation is the smallest distance from the axis of rotation where an object can rotate without falling apart due to centrifugal force.
Maximum Radius of Rotation - (Measured in Meter) - Maximum Radius of Rotation is the maximum distance from the axis of rotation where an object can rotate without flying apart due to centrifugal force.
STEP 1: Convert Input(s) to Base Unit
Centrifugal Force at Minimum Radius of Rotation: 15.4 Newton --> 15.4 Newton No Conversion Required
Centrifugal Force at Maximum Radius of Rotation: 21 Newton --> 21 Newton No Conversion Required
Radius of Rotation if Governor is in Mid-Position: 47 Meter --> 47 Meter No Conversion Required
Minimum Radius of Rotation: 2.2 Meter --> 2.2 Meter No Conversion Required
Maximum Radius of Rotation: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fc = Frc1+(Frc2-Frc1)*(rrotation-r1)/(r2-r1) --> 15.4+(21-15.4)*(47-2.2)/(15-2.2)
Evaluating ... ...
Fc = 35
STEP 3: Convert Result to Output's Unit
35 Newton --> No Conversion Required
FINAL ANSWER
35 Newton <-- Centrifugal Force
(Calculation completed in 00.004 seconds)

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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 at Intermediate Position for Hartnell Governor for Maximum Force Formula

​LaTeX ​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)
Fc = Frc1+(Frc2-Frc1)*(rrotation-r1)/(r2-r1)

What causes Centrifugal Force?

Centrifugal Force is 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 at Intermediate Position for Hartnell Governor for Maximum Force?

Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force calculator uses 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) to calculate the Centrifugal Force, Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force formula is defined as the maximum force exerted by the governor at an intermediate position, which is a critical parameter in determining the stability and efficiency of the governor mechanism in mechanical systems. Centrifugal Force is denoted by Fc symbol.

How to calculate Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force using this online calculator? To use this online calculator for Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force, enter Centrifugal Force at Minimum Radius of Rotation (Frc1), Centrifugal Force at Maximum Radius of Rotation (Frc2), Radius of Rotation if Governor is in Mid-Position (rrotation), Minimum Radius of Rotation (r1) & Maximum Radius of Rotation (r2) and hit the calculate button. Here is how the Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force calculation can be explained with given input values -> 22.75 = 15.4+(21-15.4)*(47-2.2)/(15-2.2).

FAQ

What is Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force?
Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force formula is defined as the maximum force exerted by the governor at an intermediate position, which is a critical parameter in determining the stability and efficiency of the governor mechanism in mechanical systems and is represented as Fc = Frc1+(Frc2-Frc1)*(rrotation-r1)/(r2-r1) or 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 Minimum Radius of Rotation is the force that acts on an object as it rotates around a circular path at its minimum radius, Centrifugal Force at Maximum Radius of Rotation is the outward force that draws a rotating body away from the center of rotation at maximum radius, Radius of Rotation if Governor is in Mid-Position is the distance from the axis of rotation to the point where the governor is positioned, Minimum Radius of Rotation is the smallest distance from the axis of rotation where an object can rotate without falling apart due to centrifugal force & Maximum Radius of Rotation is the maximum distance from the axis of rotation where an object can rotate without flying apart due to centrifugal force.
How to calculate Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force?
Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force formula is defined as the maximum force exerted by the governor at an intermediate position, which is a critical parameter in determining the stability and efficiency of the governor mechanism in mechanical systems is calculated using 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). To calculate Centrifugal Force at Intermediate Position for Hartnell Governor for Maximum Force, you need Centrifugal Force at Minimum Radius of Rotation (Frc1), Centrifugal Force at Maximum Radius of Rotation (Frc2), Radius of Rotation if Governor is in Mid-Position (rrotation), Minimum Radius of Rotation (r1) & Maximum Radius of Rotation (r2). With our tool, you need to enter the respective value for Centrifugal Force at Minimum Radius of Rotation, Centrifugal Force at Maximum Radius of Rotation, Radius of Rotation if Governor is in Mid-Position, Minimum Radius of Rotation & Maximum 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 Centrifugal Force?
In this formula, Centrifugal Force uses Centrifugal Force at Minimum Radius of Rotation, Centrifugal Force at Maximum Radius of Rotation, Radius of Rotation if Governor is in Mid-Position, Minimum Radius of Rotation & Maximum Radius of Rotation. We can use 3 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 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 = 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
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