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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Formula

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

Formula

`"C"_{"i"} = ("F"_{"S"}*"r")/("F"_{"c"}*"h")`

Example

`"0.229412"=("9N"*"1.3m")/("17N"*"3m")`

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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: 3 Meter --> 3 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*3)

Evaluating ... ...

C_i = 0.229411764705882

STEP 3: Convert Result to Output's Unit

0.229411764705882 --> No Conversion Required

FINAL ANSWER

0.229411764705882 ≈ 0.229412 <-- Coefficient of Insensitiveness

(Calculation completed in 00.020 seconds)

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< 15 Porter Governor Calculators

Coefficient of Insensitiveness for Porter Governor if Angle Made by Upper and Lower Arm Aren't Equal

Go 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))

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

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)

Coefficient of Insensitiveness for Porter Governor when Lower Arm is Not Attached on Governor

Go 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)

Height of Governor for Porter Governor

Go Height of Governor = (Mass of Ball+Mass of Central Load/2*(Ratio of Length of Link to Length of Arm+1))*Acceleration due to Gravity/(Mass of Ball*Angular Velocity^2)

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

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)

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

Go Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Radius of Path of Rotation of Ball)/(Controlling Force*Height of Governor)

Height of Governor for Porter Governor when Ratio of Length of Link to Length of Arm is 1

Go Height of Governor = (Mass of Ball+Mass of Central Load)*Acceleration due to Gravity/(Mass of Ball*Angular Velocity^2)

Lift of Sleeve for Porter Governor if Angle Made by Upper and Lower Arms are Not Equal

Go Lift of Sleeve = (1+Ratio of Length of Link to Length of Arm)*(2*Height of Governor*Percentage Increase in Speed)/(1+2*Percentage Increase in Speed)

Coefficient of Insensitiveness for Porter Governor if Angle Made by Upper and Lower Arm are Equal

Go Coefficient of Insensitiveness = Frictional Force on Sleeve/((Mass of Ball+Mass of Central Load)*Acceleration due to Gravity)

Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links

Go Speed in RPM = sqrt((Mass of Ball+Mass of Central Load)*895/(Mass of Ball*Height of Governor))

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

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

Lift of Sleeve for Porter Governor if Angle Made by Upper and Lower Arms are Equal

Go Lift of Sleeve = (4*Height of Governor*Percentage Increase in Speed)/(1+2*Percentage Increase in Speed)

Controlling Force for Porter Governor

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

Angle of Inclination of Arm to Vertical for Porter Governor

Go Angle of Inclination of Arm to Vertical = atan(Radius of Path of Rotation of Ball/Height of Governor)

Net Increase in Speed of Porter Governor

Go Increase in Speed = Percentage Increase in Speed*Mean Equilibrium Speed in RPM

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

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 depicts that the frictional force is always present in all mechanism 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 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*3).

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 depicts that the frictional force is always present in all mechanism 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*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 depicts that the frictional force is always present in all mechanism 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*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 = Frictional Force on Sleeve/((Mass of Ball+Mass of Central Load)*Acceleration due to Gravity)
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*(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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