Angle of Inclination of Arm to Vertical for Porter Governor Calculator

✖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%
✖Height of Governor is the measurement from the bottom to the top of the governor.ⓘ Height of Governor [h]			+10% -10%

✖Angle of Inclination of Arm to Vertical is the angle formed by the intersection of the arm and the x-axis.ⓘ Angle of Inclination of Arm to Vertical for Porter Governor [α]

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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: 0.337891 Meter --> 0.337891 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = atan(r/h) --> atan(1.3/0.337891)

Evaluating ... ...

α = 1.31650680689451

STEP 3: Convert Result to Output's Unit

1.31650680689451 Radian -->75.4302837353142 Degree (Check conversion here)

FINAL ANSWER

75.4302837353142 ≈ 75.43028 Degree <-- Angle of Inclination of Arm to Vertical

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Governors » Porter Governor » Mechanical » Dimensions and Power » Angle of Inclination of Arm to Vertical for Porter Governor

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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

Angle of Inclination of Arm to Vertical for Porter Governor Formula

LaTeX Go

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, Angle of Inclination of Arm to Vertical for Porter Governor formula is defined as the angle at which the arm of the Porter Governor is inclined to the vertical, which affects the equilibrium of the system and determines the sensitivity of the governor. 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 -> 4321.837 = atan(1.3/0.337891).

FAQ

What is Angle of Inclination of Arm to Vertical for Porter Governor?

Angle of Inclination of Arm to Vertical for Porter Governor formula is defined as the angle at which the arm of the Porter Governor is inclined to the vertical, which affects the equilibrium of the system and determines the sensitivity of the governor 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?

Angle of Inclination of Arm to Vertical for Porter Governor formula is defined as the angle at which the arm of the Porter Governor is inclined to the vertical, which affects the equilibrium of the system and determines the sensitivity of the governor 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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