Force in Arm of Porter Governor given Mass of Central Load and Ball Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
T1 = (M*g+mb*g)/(2*cos(α))
This formula uses 1 Functions, 5 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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.
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.
Acceleration Due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
Mass of Ball - (Measured in Kilogram) - Mass of Ball is the amount of "matter" in the object.
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
Mass of Central Load: 21 Kilogram --> 21 Kilogram No Conversion Required
Acceleration Due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Mass of Ball: 6 Kilogram --> 6 Kilogram No Conversion Required
Angle of Inclination of Arm to Vertical: 23.42869 Degree --> 0.408907779928993 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T1 = (M*g+mb*g)/(2*cos(α)) --> (21*9.8+6*9.8)/(2*cos(0.408907779928993))
Evaluating ... ...
T1 = 144.187440565127
STEP 3: Convert Result to Output's Unit
144.187440565127 Newton --> No Conversion Required
FINAL ANSWER
144.187440565127 144.1874 Newton <-- Force in Arm
(Calculation completed in 00.004 seconds)

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Effort and Force Calculators

Force in Arm of Porter Governor given Centrifugal Force on Ball
​ 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
​ 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
​ 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
​ 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 Mass of Central Load and Ball Formula

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))
T1 = (M*g+mb*g)/(2*cos(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 Mass of Central Load and Ball?

Force in Arm of Porter Governor given Mass of Central Load and Ball calculator uses 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)) to calculate the Force in Arm, Force in Arm of Porter Governor given Mass of Central Load and Ball formula is defined as the measure of the force exerted by the central load and ball in the arm of a Porter Governor, a mechanical device used to regulate the speed of an engine. Force in Arm is denoted by T1 symbol.

How to calculate Force in Arm of Porter Governor given Mass of Central Load and Ball using this online calculator? To use this online calculator for Force in Arm of Porter Governor given Mass of Central Load and Ball, enter Mass of Central Load (M), Acceleration Due to Gravity (g), Mass of Ball (mb) & Angle of Inclination of Arm to Vertical (α) and hit the calculate button. Here is how the Force in Arm of Porter Governor given Mass of Central Load and Ball calculation can be explained with given input values -> 187.1005 = (21*9.8+6*9.8)/(2*cos(0.408907779928993)).

FAQ

What is Force in Arm of Porter Governor given Mass of Central Load and Ball?
Force in Arm of Porter Governor given Mass of Central Load and Ball formula is defined as the measure of the force exerted by the central load and ball in the arm of a Porter Governor, a mechanical device used to regulate the speed of an engine and is represented as T1 = (M*g+mb*g)/(2*cos(α)) or 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)). 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, Acceleration Due to Gravity is acceleration gained by an object because of gravitational force, Mass of Ball is the amount of "matter" in the object & 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 Mass of Central Load and Ball?
Force in Arm of Porter Governor given Mass of Central Load and Ball formula is defined as the measure of the force exerted by the central load and ball in the arm of a Porter Governor, a mechanical device used to regulate the speed of an engine is calculated using 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)). To calculate Force in Arm of Porter Governor given Mass of Central Load and Ball, you need Mass of Central Load (M), Acceleration Due to Gravity (g), Mass of Ball (mb) & Angle of Inclination of Arm to Vertical (α). With our tool, you need to enter the respective value for Mass of Central Load, Acceleration Due to Gravity, Mass of Ball & 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 Mass of Central Load, Acceleration Due to Gravity, Mass of Ball & 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 = (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 = (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 = (Weight of Central Load+Weight of Ball)/(2*cos(Angle of Inclination of Arm to Vertical))
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