Angle of Inclination of Arm to Vertical for Porter Governor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of Inclination of Arm to Vertical = atan(Radius of Path of Rotation of Ball/Height of Governor)
α = atan(r/h)
This formula uses 2 Functions, 3 Variables
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)
Variables Used
Angle of Inclination of Arm to Vertical - (Measured in Radian) - Angle of inclination of arm to vertical is the angle formed by the intersection of the arm and the x-axis.
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.
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
Radius of Path of Rotation of Ball: 1.3 Meter --> 1.3 Meter No Conversion Required
Height of Governor: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = atan(r/h) --> atan(1.3/3)
Evaluating ... ...
α = 0.408907828950925
STEP 3: Convert Result to Output's Unit
0.408907828950925 Radian -->23.4286928087498 Degree (Check conversion here)
FINAL ANSWER
23.4286928087498 23.42869 Degree <-- Angle of Inclination of Arm to Vertical
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
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

Angle of Inclination of Arm to Vertical for Porter Governor Formula

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

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 Angle of Inclination of Arm to Vertical for Porter Governor?

Angle of Inclination of Arm to Vertical for Porter Governor calculator uses Angle of Inclination of Arm to Vertical = atan(Radius of Path of Rotation of Ball/Height of Governor) to calculate the Angle of Inclination of Arm to Vertical, The angle of inclination of arm to vertical for porter governor is the angle formed by the intersection of the line and the x-axis. Angle of Inclination of Arm to Vertical is denoted by α symbol.

How to calculate Angle of Inclination of Arm to Vertical for Porter Governor using this online calculator? To use this online calculator for Angle of Inclination of Arm to Vertical for Porter Governor, enter Radius of Path of Rotation of Ball (r) & Height of Governor (h) and hit the calculate button. Here is how the Angle of Inclination of Arm to Vertical for Porter Governor calculation can be explained with given input values -> 1342.365 = atan(1.3/3).

FAQ

What is Angle of Inclination of Arm to Vertical for Porter Governor?
The angle of inclination of arm to vertical for porter governor is the angle formed by the intersection of the line and the x-axis and is represented as α = atan(r/h) or Angle of Inclination of Arm to Vertical = atan(Radius of Path of Rotation of Ball/Height of Governor). Radius of path of rotation of ball is the horizontal distance from the centre of the ball to the spindle axis in metres & Height of governor is the measurement from the bottom to the top of the governor.
How to calculate Angle of Inclination of Arm to Vertical for Porter Governor?
The angle of inclination of arm to vertical for porter governor is the angle formed by the intersection of the line and the x-axis is calculated using Angle of Inclination of Arm to Vertical = atan(Radius of Path of Rotation of Ball/Height of Governor). To calculate Angle of Inclination of Arm to Vertical for Porter Governor, you need Radius of Path of Rotation of Ball (r) & Height of Governor (h). With our tool, you need to enter the respective value for Radius of Path of Rotation of Ball & Height of Governor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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