Coefficient of Insensitiveness for Hartnell Governor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Length of Sleeve Arm of Lever)/(Controlling Force*2*Length of Ball Arm of Lever)
Ci = (FS*y)/(Fc*2*xba)
This formula uses 5 Variables
Variables Used
Coefficient of Insensitiveness - The coefficient of insensitiveness is defined as the ratio of the difference between the maximum and minimum equilibrium speeds to the mean equilibrium speed.
Force Required at Sleeve to Overcome Friction - (Measured in Newton) - Force Required at Sleeve to Overcome Friction is any interaction that, when unopposed, will change the motion of an object.
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.
Controlling Force - (Measured in Newton) - Controlling Force is the inward force acting on the rotating balls is known as controlling force.
Length of Ball Arm of Lever - (Measured in Meter) - Length of Ball Arm of Lever is the distance from the axis of rotation to the point where the centrifugal force is applied.
STEP 1: Convert Input(s) to Base Unit
Force Required at Sleeve to Overcome Friction: 9 Newton --> 9 Newton No Conversion Required
Length of Sleeve Arm of Lever: 1.2 Meter --> 1.2 Meter No Conversion Required
Controlling Force: 17 Newton --> 17 Newton 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
Ci = (FS*y)/(Fc*2*xba) --> (9*1.2)/(17*2*0.6)
Evaluating ... ...
Ci = 0.529411764705882
STEP 3: Convert Result to Output's Unit
0.529411764705882 --> No Conversion Required
FINAL ANSWER
0.529411764705882 0.529412 <-- Coefficient of Insensitiveness
(Calculation completed in 00.020 seconds)

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Governor Response Calculators

Coefficient of Insensitiveness for Hartnell Governor
​ LaTeX ​ Go Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Length of Sleeve Arm of Lever)/(Controlling Force*2*Length of Ball Arm of Lever)
Sensitiveness of Governor given Angular Speed in RPM
​ LaTeX ​ Go Sensitiveness of The Governor = (2*(Maximum Equilibrium Speed-Minimum Equilibrium Speed))/(Minimum Equilibrium Speed+Maximum Equilibrium Speed)
Coefficient of Insensitiveness
​ LaTeX ​ Go Coefficient of Insensitiveness = (Maximum Equilibrium Speed-Minimum Equilibrium Speed)/Mean Equilibrium Speed
Coefficient of Insensitiveness given Radial and Controlling Force
​ LaTeX ​ Go Coefficient of Insensitiveness = Corresponding Radial Force Required at Each Ball/Controlling Force

Coefficient of Insensitiveness for Hartnell Governor Formula

​LaTeX ​Go
Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Length of Sleeve Arm of Lever)/(Controlling Force*2*Length of Ball Arm of Lever)
Ci = (FS*y)/(Fc*2*xba)

What is Governor sensitivity?

A governor is said to be sensitive if it readily responds to any change in the speed. Further, it may be defined as the ratio of the difference between max and min equilibrium speeds to the mean speeds.

How to Calculate Coefficient of Insensitiveness for Hartnell Governor?

Coefficient of Insensitiveness for Hartnell Governor calculator uses Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Length of Sleeve Arm of Lever)/(Controlling Force*2*Length of Ball Arm of Lever) to calculate the Coefficient of Insensitiveness, Coefficient of Insensitiveness for Hartnell Governor formula is defined as a measure of the degree of insensitiveness of the Hartnell governor, which is a type of centrifugal governor used in steam engines, characterizing its ability to maintain a constant speed despite changes in load. Coefficient of Insensitiveness is denoted by Ci symbol.

How to calculate Coefficient of Insensitiveness for Hartnell Governor using this online calculator? To use this online calculator for Coefficient of Insensitiveness for Hartnell Governor, enter Force Required at Sleeve to Overcome Friction (FS), Length of Sleeve Arm of Lever (y), Controlling Force (Fc) & Length of Ball Arm of Lever (xba) and hit the calculate button. Here is how the Coefficient of Insensitiveness for Hartnell Governor calculation can be explained with given input values -> 0.529412 = (9*1.2)/(17*2*0.6).

FAQ

What is Coefficient of Insensitiveness for Hartnell Governor?
Coefficient of Insensitiveness for Hartnell Governor formula is defined as a measure of the degree of insensitiveness of the Hartnell governor, which is a type of centrifugal governor used in steam engines, characterizing its ability to maintain a constant speed despite changes in load and is represented as Ci = (FS*y)/(Fc*2*xba) or Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Length of Sleeve Arm of Lever)/(Controlling Force*2*Length of Ball Arm of Lever). Force Required at Sleeve to Overcome Friction is any interaction that, when unopposed, will change the motion of an object, Length of sleeve arm of lever is a measure of how long the sleeve arm is, Controlling Force is the inward force acting on the rotating balls is known as controlling force & Length of Ball Arm of Lever is the distance from the axis of rotation to the point where the centrifugal force is applied.
How to calculate Coefficient of Insensitiveness for Hartnell Governor?
Coefficient of Insensitiveness for Hartnell Governor formula is defined as a measure of the degree of insensitiveness of the Hartnell governor, which is a type of centrifugal governor used in steam engines, characterizing its ability to maintain a constant speed despite changes in load is calculated using Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Length of Sleeve Arm of Lever)/(Controlling Force*2*Length of Ball Arm of Lever). To calculate Coefficient of Insensitiveness for Hartnell Governor, you need Force Required at Sleeve to Overcome Friction (FS), Length of Sleeve Arm of Lever (y), Controlling Force (Fc) & Length of Ball Arm of Lever (xba). With our tool, you need to enter the respective value for Force Required at Sleeve to Overcome Friction, Length of Sleeve Arm of Lever, Controlling Force & 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 Coefficient of Insensitiveness?
In this formula, Coefficient of Insensitiveness uses Force Required at Sleeve to Overcome Friction, Length of Sleeve Arm of Lever, Controlling Force & Length of Ball Arm of Lever. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Insensitiveness = (Maximum Equilibrium Speed-Minimum Equilibrium Speed)/Mean Equilibrium Speed
  • Coefficient of Insensitiveness = Corresponding Radial Force Required at Each Ball/Controlling Force
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