Coefficient of Insensitiveness for Hartnell Governor Calculator

✖Force Required at Sleeve to Overcome Friction is any interaction that, when unopposed, will change the motion of an object.ⓘ Force Required at Sleeve to Overcome Friction [F_S]			+10% -10%
✖Length of sleeve arm of lever is a measure of how long the sleeve arm is.ⓘ Length of sleeve arm of lever [y]			+10% -10%
✖Controlling Force is the inward force acting on the rotating balls is known as controlling force.ⓘ Controlling Force [F_c]			+10% -10%
✖Length of ball arm of lever is a measure of how long the ball arm is.ⓘ Length of ball arm of lever [x_{ball arm}]			+10% -10%

✖The coefficient of insensitiveness is defined as the ratio of the difference between the maximum and minimum equilibrium speeds to the mean equilibrium speed.ⓘ Coefficient of Insensitiveness for Hartnell Governor [C_i]

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Formula

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Coefficient of Insensitiveness for Hartnell Governor

Formula

`"C"_{"i"} = ("F"_{"S"}*"y")/("F"_{"c"}*2*"x"_{"ball arm"})`

Example

`"0.529412"=("9N"*"1.2m")/("17N"*2*"0.6m")`

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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)
C_i = (F_S*y)/(F_c*2*x_{ball arm})
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 a measure of how long the ball arm is.

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

C_i = (F_S*y)/(F_c*2*x_{ball arm}) --> (9*1.2)/(17*2*0.6)

Evaluating ... ...

C_i = 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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Home » Physics » Theory of Machine » Governors » Sensitiveness and Insensitiveness » Coefficient of Insensitiveness for Hartnell Governor

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< 7 Sensitiveness and Insensitiveness Calculators

Sensitiveness of Governor given Angular Speed in RPM

Go Sensitiveness of the governor = (2*(Maximum equilibrium speed in r.p.m-Minimum equilibrium speed in r.p.m))/(Minimum equilibrium speed in r.p.m+Maximum equilibrium speed in r.p.m)

Sensitiveness of Governor given Angular Speed

Go Sensitiveness of the governor = (2*(Maximum equilibrium angular speed-Minimum equilibrium angular speed))/(Minimum equilibrium angular speed+Maximum equilibrium angular speed)

Coefficient of Insensitiveness for Hartnell Governor

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)

Coefficient of Insensitiveness

Go Coefficient of Insensitiveness = (Maximum equilibrium speed in r.p.m-Minimum equilibrium speed in r.p.m)/Mean Equilibrium Speed in RPM

Sensitiveness of Governor given Mean Angular Speed in RPM

Go Sensitiveness of the governor = (Maximum equilibrium speed in r.p.m-Minimum equilibrium speed in r.p.m)/Mean Equilibrium Speed in RPM

Sensitiveness of Governor given Mean Angular Speed

Go Sensitiveness of the governor = (Maximum equilibrium angular speed-Minimum equilibrium angular speed)/Mean Equilibrium Angular Speed

Coefficient of Insensitiveness given Radial and Controlling Force

Go Coefficient of Insensitiveness = Corresponding Radial Force Required at Each Ball/Controlling Force

Coefficient of Insensitiveness for Hartnell Governor Formula

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)
C_i = (F_S*y)/(F_c*2*x_{ball arm})

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, The Coefficient of insensitiveness for Hartnell governor formula depicts that the frictional force is always present in all mechanisms as well as in all governors, it may not be excluded. This frictional force acts in the opposite direction of the motion when the speed of rotation decreases. Coefficient of Insensitiveness is denoted by C_i 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 (F_S), Length of sleeve arm of lever (y), Controlling Force (F_c) & Length of ball arm of lever (x_{ball arm}) 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?

The Coefficient of insensitiveness for Hartnell governor formula depicts that the frictional force is always present in all mechanisms as well as in all governors, it may not be excluded. This frictional force acts in the opposite direction of the motion when the speed of rotation decreases and is represented as C_i = (F_S*y)/(F_c*2*x_{ball arm}) 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 a measure of how long the ball arm is.

How to calculate Coefficient of Insensitiveness for Hartnell Governor?

The Coefficient of insensitiveness for Hartnell governor formula depicts that the frictional force is always present in all mechanisms as well as in all governors, it may not be excluded. This frictional force acts in the opposite direction of the motion when the speed of rotation decreases 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 (F_S), Length of sleeve arm of lever (y), Controlling Force (F_c) & Length of ball arm of lever (x_{ball arm}). 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 in r.p.m-Minimum equilibrium speed in r.p.m)/Mean Equilibrium Speed in RPM
Coefficient of Insensitiveness = Corresponding Radial Force Required at Each Ball/Controlling Force

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