Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis 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%
✖Radius of Path of Rotation of Ball is the horizontal distance from the centre of the ball to the spindle axis in metres.ⓘ Radius of Path of Rotation of Ball [r]			+10% -10%
✖Controlling Force is the inward force acting on the rotating balls is known as controlling force.ⓘ Controlling Force [F_c]			+10% -10%
✖Height of Governor is the measurement from the bottom to the top of the governor.ⓘ Height of Governor [h]			+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 when All Arms of Porter Governor are Attached to Governor Axis [C_i]

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Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Radius of Path of Rotation of Ball)/(Controlling Force*Height of Governor)
C_i = (F_S*r)/(F_c*h)
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.
Radius of Path of Rotation of Ball - (Measured in Meter) - Radius of Path of Rotation of Ball is the horizontal distance from the centre of the ball to the spindle axis in metres.
Controlling Force - (Measured in Newton) - Controlling Force is the inward force acting on the rotating balls is known as controlling force.
Height of Governor - (Measured in Meter) - Height of Governor is the measurement from the bottom to the top of the governor.

STEP 1: Convert Input(s) to Base Unit

Force Required at Sleeve to Overcome Friction: 9 Newton --> 9 Newton No Conversion Required
Radius of Path of Rotation of Ball: 1.3 Meter --> 1.3 Meter No Conversion Required
Controlling Force: 17 Newton --> 17 Newton No Conversion Required
Height of Governor: 0.337891 Meter --> 0.337891 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_i = (F_S*r)/(F_c*h) --> (9*1.3)/(17*0.337891)

Evaluating ... ...

C_i = 2.0368559509358

STEP 3: Convert Result to Output's Unit

2.0368559509358 --> No Conversion Required

FINAL ANSWER

2.0368559509358 ≈ 2.036856 <-- Coefficient of Insensitiveness

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Governors » Porter Governor » Mechanical » Dimensions and Power » Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis

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< Dimensions and Power Calculators

Power of Porter Governor if Angle Made by Upper and Lower Arms are Not Equal

LaTeX Go Power = (Mass of Ball+Mass of Central Load/2*(1+Ratio of Length of Link to Length of Arm))*(4*Percentage Increase in Speed^2*Acceleration Due to Gravity*Height of Governor)/(1+2*Percentage Increase in Speed)

Power of Porter Governor if Angle Made by Upper and Lower Arms are Equal

LaTeX Go Power = (4*Percentage Increase in Speed^2*(Mass of Ball+Mass of Central Load)*Acceleration Due to Gravity*Height of Governor)/(1+2*Percentage Increase in Speed)

Controlling Force for Porter Governor given Radius of Rotation of Mid Position

LaTeX Go Force = Mass of Ball*((2*pi*Mean Equilibrium Speed in RPM)/60)^2*Radius of Rotation if Governor is in Mid Position

Controlling Force for Porter Governor

LaTeX Go Force = Mass of Ball*Mean Equilibrium Angular Speed^2*Radius of Rotation if Governor is in Mid Position

Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis Formula

LaTeX Go

Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Radius of Path of Rotation of Ball)/(Controlling Force*Height of Governor)
C_i = (F_S*r)/(F_c*h)

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 when All Arms of Porter Governor are Attached to Governor Axis?

Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis calculator uses Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Radius of Path of Rotation of Ball)/(Controlling Force*Height of Governor) to calculate the Coefficient of Insensitiveness, Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis formula is defined as a measure of the insensitiveness of the Porter governor when all its arms are attached to the governor axis, which affects the sensitivity of the governor in a steam engine. Coefficient of Insensitiveness is denoted by C_i symbol.

How to calculate Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis using this online calculator? To use this online calculator for Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis, enter Force Required at Sleeve to Overcome Friction (F_S), Radius of Path of Rotation of Ball (r), Controlling Force (F_c) & Height of Governor (h) and hit the calculate button. Here is how the Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis calculation can be explained with given input values -> 0.229412 = (9*1.3)/(17*0.337891).

FAQ

What is Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis?

Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis formula is defined as a measure of the insensitiveness of the Porter governor when all its arms are attached to the governor axis, which affects the sensitivity of the governor in a steam engine and is represented as C_i = (F_S*r)/(F_c*h) or Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Radius of Path of Rotation of Ball)/(Controlling Force*Height of Governor). Force Required at Sleeve to Overcome Friction is any interaction that, when unopposed, will change the motion of an object, Radius of Path of Rotation of Ball is the horizontal distance from the centre of the ball to the spindle axis in metres, Controlling Force is the inward force acting on the rotating balls is known as controlling force & Height of Governor is the measurement from the bottom to the top of the governor.

How to calculate Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis?

Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis formula is defined as a measure of the insensitiveness of the Porter governor when all its arms are attached to the governor axis, which affects the sensitivity of the governor in a steam engine is calculated using Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Radius of Path of Rotation of Ball)/(Controlling Force*Height of Governor). To calculate Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis, you need Force Required at Sleeve to Overcome Friction (F_S), Radius of Path of Rotation of Ball (r), Controlling Force (F_c) & Height of Governor (h). With our tool, you need to enter the respective value for Force Required at Sleeve to Overcome Friction, Radius of Path of Rotation of Ball, Controlling Force & Height of Governor 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, Radius of Path of Rotation of Ball, Controlling Force & Height of Governor. We can use 3 other way(s) to calculate the same, which is/are as follows -

Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*(1+Ratio of Length of Link to Length of Arm)*Radius of Path of Rotation of Ball)/(2*Controlling Force*Height of Governor)
Coefficient of Insensitiveness = Frictional Force on Sleeve/((Mass of Ball+Mass of Central Load)*Acceleration Due to Gravity)
Coefficient of Insensitiveness = (Frictional Force on Sleeve*(1+Ratio of Length of Link to Length of Arm))/(2*Mass of Ball*Acceleration Due to Gravity+Mass of Central Load*Acceleration Due to Gravity*(1+Ratio of Length of Link to Length of Arm))

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