Coefficient of Insensitiveness Calculator

✖Maximum equilibrium speed in r.p.m is the number of revolutions the drive shaft of your car is making per minute.ⓘ Maximum Equilibrium Speed [N₂]			+10% -10%
✖Minimum equilibrium speed in r.p.m is the number of revolutions the drive shaft of your car is making per minute.ⓘ Minimum Equilibrium Speed [N₁]			+10% -10%
✖Mean Equilibrium Speed in RPM is the number of revolutions the drive shaft of your car is making per minute.ⓘ Mean Equilibrium Speed [N_e]			+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 [C_i]

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Coefficient of Insensitiveness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Insensitiveness = (Maximum Equilibrium Speed-Minimum Equilibrium Speed)/Mean Equilibrium Speed
C_i = (N₂-N₁)/N_e
This formula uses 4 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.
Maximum Equilibrium Speed - (Measured in Radian per Second) - Maximum equilibrium speed in r.p.m is the number of revolutions the drive shaft of your car is making per minute.
Minimum Equilibrium Speed - (Measured in Radian per Second) - Minimum equilibrium speed in r.p.m is the number of revolutions the drive shaft of your car is making per minute.
Mean Equilibrium Speed - (Measured in Radian per Second) - Mean Equilibrium Speed in RPM is the number of revolutions the drive shaft of your car is making per minute.

STEP 1: Convert Input(s) to Base Unit

Maximum Equilibrium Speed: 12 Revolution per Minute --> 1.25663706137193 Radian per Second (Check conversion here)
Minimum Equilibrium Speed: 8 Revolution per Minute --> 0.837758040914617 Radian per Second (Check conversion here)
Mean Equilibrium Speed: 11 Revolution per Minute --> 1.1519173062576 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_i = (N₂-N₁)/N_e --> (1.25663706137193-0.837758040914617)/1.1519173062576

Evaluating ... ...

C_i = 0.363636363636367

STEP 3: Convert Result to Output's Unit

0.363636363636367 --> No Conversion Required

FINAL ANSWER

0.363636363636367 ≈ 0.363636 <-- Coefficient of Insensitiveness

(Calculation completed in 00.006 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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 Formula

LaTeX Go

Coefficient of Insensitiveness = (Maximum Equilibrium Speed-Minimum Equilibrium Speed)/Mean Equilibrium Speed
C_i = (N₂-N₁)/N_e

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?

Coefficient of Insensitiveness calculator uses Coefficient of Insensitiveness = (Maximum Equilibrium Speed-Minimum Equilibrium Speed)/Mean Equilibrium Speed to calculate the Coefficient of Insensitiveness, Coefficient of Insensitiveness formula is defined as a measure of the degree of unresponsiveness of a system to changes in the stimulus, providing a quantitative representation of the system's insensitivity to external influences. Coefficient of Insensitiveness is denoted by C_i symbol.

How to calculate Coefficient of Insensitiveness using this online calculator? To use this online calculator for Coefficient of Insensitiveness, enter Maximum Equilibrium Speed (N₂), Minimum Equilibrium Speed (N₁) & Mean Equilibrium Speed (N_e) and hit the calculate button. Here is how the Coefficient of Insensitiveness calculation can be explained with given input values -> 0.363636 = (12-8)/11.

FAQ

What is Coefficient of Insensitiveness?

Coefficient of Insensitiveness formula is defined as a measure of the degree of unresponsiveness of a system to changes in the stimulus, providing a quantitative representation of the system's insensitivity to external influences and is represented as C_i = (N₂-N₁)/N_e or Coefficient of Insensitiveness = (Maximum Equilibrium Speed-Minimum Equilibrium Speed)/Mean Equilibrium Speed. Maximum equilibrium speed in r.p.m is the number of revolutions the drive shaft of your car is making per minute, Minimum equilibrium speed in r.p.m is the number of revolutions the drive shaft of your car is making per minute & Mean Equilibrium Speed in RPM is the number of revolutions the drive shaft of your car is making per minute.

How to calculate Coefficient of Insensitiveness?

Coefficient of Insensitiveness formula is defined as a measure of the degree of unresponsiveness of a system to changes in the stimulus, providing a quantitative representation of the system's insensitivity to external influences is calculated using Coefficient of Insensitiveness = (Maximum Equilibrium Speed-Minimum Equilibrium Speed)/Mean Equilibrium Speed. To calculate Coefficient of Insensitiveness, you need Maximum Equilibrium Speed (N₂), Minimum Equilibrium Speed (N₁) & Mean Equilibrium Speed (N_e). With our tool, you need to enter the respective value for Maximum Equilibrium Speed, Minimum Equilibrium Speed & Mean Equilibrium Speed 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 Maximum Equilibrium Speed, Minimum Equilibrium Speed & Mean Equilibrium Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -

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 = Corresponding Radial Force Required at Each Ball/Controlling Force

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