Force in Arm of Porter Governor given Centrifugal Force on Ball Calculator

✖Centrifugal Force Acting on Ball is the apparent outward force on a mass when it is rotated.ⓘ Centrifugal Force Acting on Ball [F′_c]			+10% -10%
✖Force in Link is any interaction that, when unopposed, will change the motion of an object.ⓘ Force in Link [T₂]			+10% -10%
✖Angle of inclination of link to vertical is the angle formed by the intersection of the arm and the x-axis.ⓘ Angle of Inclination of Link to Vertical [β]			+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 [α]			+10% -10%

✖Force in Arm is any interaction that, when unopposed, will change the motion of an object.ⓘ Force in Arm of Porter Governor given Centrifugal Force on Ball [T₁]

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Force in Arm of Porter Governor given Centrifugal Force on Ball Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force in Arm = (Centrifugal Force Acting on Ball-Force in Link*sin(Angle of Inclination of Link to Vertical))/sin(Angle of Inclination of Arm to Vertical)
T₁ = (F′_c-T₂*sin(β))/sin(α)
This formula uses 1 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Force in Arm - (Measured in Newton) - Force in Arm is any interaction that, when unopposed, will change the motion of an object.
Centrifugal Force Acting on Ball - (Measured in Newton) - Centrifugal Force Acting on Ball is the apparent outward force on a mass when it is rotated.
Force in Link - (Measured in Newton) - Force in Link is any interaction that, when unopposed, will change the motion of an object.
Angle of Inclination of Link to Vertical - (Measured in Radian) - Angle of inclination of link to vertical is the angle formed by the intersection of the arm and the x-axis.
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.

STEP 1: Convert Input(s) to Base Unit

Centrifugal Force Acting on Ball: 74.4 Newton --> 74.4 Newton No Conversion Required
Force in Link: 125.6177 Newton --> 125.6177 Newton No Conversion Required
Angle of Inclination of Link to Vertical: 35 Degree --> 0.610865238197901 Radian (Check conversion here)
Angle of Inclination of Arm to Vertical: 75.43028 Degree --> 1.31650674170098 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T₁ = (F′_c-T₂*sin(β))/sin(α) --> (74.4-125.6177*sin(0.610865238197901))/sin(1.31650674170098)

Evaluating ... ...

T₁ = 2.42668398745515

STEP 3: Convert Result to Output's Unit

2.42668398745515 Newton --> No Conversion Required

FINAL ANSWER

2.42668398745515 ≈ 2.426684 Newton <-- Force in Arm

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Governors » Porter Governor » Mechanical » Effort and Force » Force in Arm of Porter Governor given Centrifugal Force on Ball

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< Effort and Force Calculators

Force in Arm of Porter Governor given Centrifugal Force on Ball

LaTeX Go Force in Arm = (Centrifugal Force Acting on Ball-Force in Link*sin(Angle of Inclination of Link to Vertical))/sin(Angle of Inclination of Arm to Vertical)

Force in Arm of Porter Governor given Force in Link

LaTeX Go Force in Arm = (Force in Link*cos(Angle of Inclination of Link to Vertical)+Weight of Ball)/cos(Angle of Inclination of Arm to Vertical)

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

LaTeX Go Mean Effort = (2*Mass of Ball)/(1+Ratio of Length of Link to Length of Arm)+Mass of Central Load*Percentage Increase in Speed*Acceleration Due to Gravity

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

LaTeX Go Mean Effort = Percentage Increase in Speed*(Mass of Ball+Mass of Central Load)*Acceleration Due to Gravity

Force in Arm of Porter Governor given Centrifugal Force on Ball Formula

LaTeX Go

Force in Arm = (Centrifugal Force Acting on Ball-Force in Link*sin(Angle of Inclination of Link to Vertical))/sin(Angle of Inclination of Arm to Vertical)
T₁ = (F′_c-T₂*sin(β))/sin(α)

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 Force in Arm of Porter Governor given Centrifugal Force on Ball?

Force in Arm of Porter Governor given Centrifugal Force on Ball calculator uses Force in Arm = (Centrifugal Force Acting on Ball-Force in Link*sin(Angle of Inclination of Link to Vertical))/sin(Angle of Inclination of Arm to Vertical) to calculate the Force in Arm, Force in Arm of Porter Governor given Centrifugal Force on Ball formula is defined as a measure of the force exerted by the ball on the arm of the Porter Governor, which is a type of centrifugal governor used in steam engines to regulate the engine's speed. Force in Arm is denoted by T₁ symbol.

How to calculate Force in Arm of Porter Governor given Centrifugal Force on Ball using this online calculator? To use this online calculator for Force in Arm of Porter Governor given Centrifugal Force on Ball, enter Centrifugal Force Acting on Ball (F′_c), Force in Link (T₂), Angle of Inclination of Link to Vertical (β) & Angle of Inclination of Arm to Vertical (α) and hit the calculate button. Here is how the Force in Arm of Porter Governor given Centrifugal Force on Ball calculation can be explained with given input values -> -61.323374 = (74.4-125.6177*sin(0.610865238197901))/sin(1.31650674170098).

FAQ

What is Force in Arm of Porter Governor given Centrifugal Force on Ball?

Force in Arm of Porter Governor given Centrifugal Force on Ball formula is defined as a measure of the force exerted by the ball on the arm of the Porter Governor, which is a type of centrifugal governor used in steam engines to regulate the engine's speed and is represented as T₁ = (F′_c-T₂*sin(β))/sin(α) or Force in Arm = (Centrifugal Force Acting on Ball-Force in Link*sin(Angle of Inclination of Link to Vertical))/sin(Angle of Inclination of Arm to Vertical). Centrifugal Force Acting on Ball is the apparent outward force on a mass when it is rotated, Force in Link is any interaction that, when unopposed, will change the motion of an object, Angle of inclination of link to vertical is the angle formed by the intersection of the arm and the x-axis & Angle of Inclination of Arm to Vertical is the angle formed by the intersection of the arm and the x-axis.

How to calculate Force in Arm of Porter Governor given Centrifugal Force on Ball?

Force in Arm of Porter Governor given Centrifugal Force on Ball formula is defined as a measure of the force exerted by the ball on the arm of the Porter Governor, which is a type of centrifugal governor used in steam engines to regulate the engine's speed is calculated using Force in Arm = (Centrifugal Force Acting on Ball-Force in Link*sin(Angle of Inclination of Link to Vertical))/sin(Angle of Inclination of Arm to Vertical). To calculate Force in Arm of Porter Governor given Centrifugal Force on Ball, you need Centrifugal Force Acting on Ball (F′_c), Force in Link (T₂), Angle of Inclination of Link to Vertical (β) & Angle of Inclination of Arm to Vertical (α). With our tool, you need to enter the respective value for Centrifugal Force Acting on Ball, Force in Link, Angle of Inclination of Link to Vertical & Angle of Inclination of Arm to Vertical 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 Force in Arm?

In this formula, Force in Arm uses Centrifugal Force Acting on Ball, Force in Link, Angle of Inclination of Link to Vertical & Angle of Inclination of Arm to Vertical. We can use 3 other way(s) to calculate the same, which is/are as follows -

Force in Arm = (Force in Link*cos(Angle of Inclination of Link to Vertical)+Weight of Ball)/cos(Angle of Inclination of Arm to Vertical)
Force in Arm = (Mass of Central Load*Acceleration Due to Gravity+Mass of Ball*Acceleration Due to Gravity)/(2*cos(Angle of Inclination of Arm to Vertical))
Force in Arm = (Weight of Central Load+Weight of Ball)/(2*cos(Angle of Inclination of Arm to Vertical))

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