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

STEP 0: Pre-Calculation Summary
Formula Used
Force in Arm = (Weight of Central Load+Weight of Ball)/(2*cos(Angle of Inclination of Arm to Vertical))
T1 = (Wc+w)/(2*cos(α))
This formula uses 1 Functions, 4 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.
Weight of Central Load - (Measured in Newton) - Weight of central load is the force acting on the object due to gravity.
Weight of Ball - (Measured in Newton) - Weight of ball is the force acting on the object due to gravity.
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
Weight of Central Load: 23 Newton --> 23 Newton No Conversion Required
Weight of Ball: 25 Newton --> 25 Newton No Conversion Required
Angle of Inclination of Arm to Vertical: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T1 = (Wc+w)/(2*cos(α)) --> (23+25)/(2*cos(0.785398163397301))
Evaluating ... ...
T1 = 33.9411254969493
STEP 3: Convert Result to Output's Unit
33.9411254969493 Newton --> No Conversion Required
FINAL ANSWER
33.9411254969493 33.94113 Newton <-- Force in Arm
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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9 Effort and Force Calculators

Force in Arm of Porter Governor given Mass of Central Load and Ball
Go 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 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)
Radial Force on Each Ball in Porter Governor
Go Corresponding Radial Force Required at Each Ball = (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*Height of Governor)
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
Force in Link of Porter Governor given Mass of Central Load
Go Force in link = (Mass of Central Load*Acceleration due to Gravity)/(2*cos(Angle of Inclination of Link to Vertical))
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 Weight of Central Load and Ball
Go Force in Arm = (Weight of Central Load+Weight of Ball)/(2*cos(Angle of Inclination of Arm to Vertical))
Force in Link of Porter Governor given Weight of Central Load
Go Force in link = (Weight of Central Load)/(2*cos(Angle of Inclination of Link to Vertical))

Force in Arm of Porter Governor given Weight of Central Load and Ball Formula

Force in Arm = (Weight of Central Load+Weight of Ball)/(2*cos(Angle of Inclination of Arm to Vertical))
T1 = (Wc+w)/(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 Weight of Central Load and Ball?

Force in Arm of Porter Governor given Weight of Central Load and Ball calculator uses Force in Arm = (Weight of Central Load+Weight of Ball)/(2*cos(Angle of Inclination of Arm to Vertical)) to calculate the Force in Arm, Force in Arm of Porter Governor given Weight of Central Load and Ball, is any interaction that, when unopposed, will change the motion of an object. Force in Arm is denoted by T1 symbol.

How to calculate Force in Arm of Porter Governor given Weight of Central Load and Ball using this online calculator? To use this online calculator for Force in Arm of Porter Governor given Weight of Central Load and Ball, enter Weight of Central Load (Wc), Weight of Ball (w) & Angle of Inclination of Arm to Vertical (α) and hit the calculate button. Here is how the Force in Arm of Porter Governor given Weight of Central Load and Ball calculation can be explained with given input values -> 33.94113 = (23+25)/(2*cos(0.785398163397301)).

FAQ

What is Force in Arm of Porter Governor given Weight of Central Load and Ball?
Force in Arm of Porter Governor given Weight of Central Load and Ball, is any interaction that, when unopposed, will change the motion of an object and is represented as T1 = (Wc+w)/(2*cos(α)) or Force in Arm = (Weight of Central Load+Weight of Ball)/(2*cos(Angle of Inclination of Arm to Vertical)). Weight of central load is the force acting on the object due to gravity, Weight of ball is the force acting on the object due to gravity & 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 Weight of Central Load and Ball?
Force in Arm of Porter Governor given Weight of Central Load and Ball, is any interaction that, when unopposed, will change the motion of an object is calculated using Force in Arm = (Weight of Central Load+Weight of Ball)/(2*cos(Angle of Inclination of Arm to Vertical)). To calculate Force in Arm of Porter Governor given Weight of Central Load and Ball, you need Weight of Central Load (Wc), Weight of Ball (w) & Angle of Inclination of Arm to Vertical (α). With our tool, you need to enter the respective value for Weight of Central Load, Weight 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 Weight of Central Load, Weight 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 = (Mass of Central Load*Acceleration due to Gravity+Mass of Ball*Acceleration due to Gravity)/(2*cos(Angle of Inclination of Arm to Vertical))
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