Height of Governor for Porter Governor Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
h = (mball+M/2*(q+1))*g/(mball*ω^2)
This formula uses 6 Variables
Variables Used
Height of Governor - (Measured in Meter) - Height of governor is the measurement from the bottom to the top of the governor.
Mass of Ball - (Measured in Kilogram) - The mass of ball is the amount of "matter" in the object.
Mass of Central Load - (Measured in Kilogram) - Mass of central load is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied.
Ratio of Length of Link to Length of Arm - Ratio of Length of Link to Length of Arm is equal to the ratio of tan of their inclination angle.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
STEP 1: Convert Input(s) to Base Unit
Mass of Ball: 6 Kilogram --> 6 Kilogram No Conversion Required
Mass of Central Load: 21 Kilogram --> 21 Kilogram No Conversion Required
Ratio of Length of Link to Length of Arm: 0.9 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Angular Velocity: 11.2 Radian per Second --> 11.2 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (mball+M/2*(q+1))*g/(mball*ω^2) --> (6+21/2*(0.9+1))*9.8/(6*11.2^2)
Evaluating ... ...
h = 0.337890625
STEP 3: Convert Result to Output's Unit
0.337890625 Meter --> No Conversion Required
FINAL ANSWER
0.337890625 0.337891 Meter <-- Height of Governor
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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

Height of Governor for Porter Governor Formula

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)
h = (mball+M/2*(q+1))*g/(mball*ω^2)

What is the use of Porter governor?

This Porter Governor is also a type of the Centrifugal Governor with an additional central load on the sleeve to increase the speed of the balls required to lift the sleeve on the spindle. Which will enable the governor to operate the mechanism to give necessary change in the fuel supply.

How to Calculate Height of Governor for Porter Governor?

Height of Governor for Porter Governor calculator uses 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) to calculate the Height of Governor, Height of governor for porter governor is the vertical distance from the plane of rotation of the balls to the point of intersection of the upper arms along the axis of the spindle. Height of Governor is denoted by h symbol.

How to calculate Height of Governor for Porter Governor using this online calculator? To use this online calculator for Height of Governor for Porter Governor, enter Mass of Ball (mball), Mass of Central Load (M), Ratio of Length of Link to Length of Arm (q), Acceleration due to Gravity (g) & Angular Velocity (ω) and hit the calculate button. Here is how the Height of Governor for Porter Governor calculation can be explained with given input values -> 0.210201 = (6+21/2*(0.9+1))*9.8/(6*11.2^2).

FAQ

What is Height of Governor for Porter Governor?
Height of governor for porter governor is the vertical distance from the plane of rotation of the balls to the point of intersection of the upper arms along the axis of the spindle and is represented as h = (mball+M/2*(q+1))*g/(mball*ω^2) or 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). The mass of ball is the amount of "matter" in the object, Mass of central load is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied, Ratio of Length of Link to Length of Arm is equal to the ratio of tan of their inclination angle, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
How to calculate Height of Governor for Porter Governor?
Height of governor for porter governor is the vertical distance from the plane of rotation of the balls to the point of intersection of the upper arms along the axis of the spindle is calculated using 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). To calculate Height of Governor for Porter Governor, you need Mass of Ball (mball), Mass of Central Load (M), Ratio of Length of Link to Length of Arm (q), Acceleration due to Gravity (g) & Angular Velocity (ω). With our tool, you need to enter the respective value for Mass of Ball, Mass of Central Load, Ratio of Length of Link to Length of Arm, Acceleration due to Gravity & Angular Velocity 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 Height of Governor?
In this formula, Height of Governor uses Mass of Ball, Mass of Central Load, Ratio of Length of Link to Length of Arm, Acceleration due to Gravity & Angular Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Height of Governor = (Mass of Ball+Mass of Central Load)*Acceleration due to Gravity/(Mass of Ball*Angular Velocity^2)
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