Force in Arm of Porter Governor given Force in Link Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
T1 = (T2*cos(β)+w)/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.
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.
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
Force in Link: 18 Newton --> 18 Newton No Conversion Required
Angle of Inclination of Link to Vertical: 35 Degree --> 0.610865238197901 Radian (Check conversion ​here)
Weight of Ball: 25 Newton --> 25 Newton 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 = (T2*cos(β)+w)/cos(α) --> (18*cos(0.610865238197901)+25)/cos(0.408907779928993)
Evaluating ... ...
T1 = 43.3158871861174
STEP 3: Convert Result to Output's Unit
43.3158871861174 Newton --> No Conversion Required
FINAL ANSWER
43.3158871861174 43.31589 Newton <-- Force in Arm
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

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 Force in Link Formula

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)
T1 = (T2*cos(β)+w)/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 Force in Link?

Force in Arm of Porter Governor given Force in Link calculator uses 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) to calculate the Force in Arm, Force in Arm of Porter Governor given Force in Link formula is defined as a measure of the force exerted in the arm of a Porter Governor, a mechanical device used in steam engines to regulate the engine's speed, which is influenced by the force in the link and other factors. Force in Arm is denoted by T1 symbol.

How to calculate Force in Arm of Porter Governor given Force in Link using this online calculator? To use this online calculator for Force in Arm of Porter Governor given Force in Link, enter Force in Link (T2), Angle of Inclination of Link to Vertical (β), 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 Force in Link calculation can be explained with given input values -> 56.20755 = (18*cos(0.610865238197901)+25)/cos(0.408907779928993).

FAQ

What is Force in Arm of Porter Governor given Force in Link?
Force in Arm of Porter Governor given Force in Link formula is defined as a measure of the force exerted in the arm of a Porter Governor, a mechanical device used in steam engines to regulate the engine's speed, which is influenced by the force in the link and other factors and is represented as T1 = (T2*cos(β)+w)/cos(α) or 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 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, 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 Force in Link?
Force in Arm of Porter Governor given Force in Link formula is defined as a measure of the force exerted in the arm of a Porter Governor, a mechanical device used in steam engines to regulate the engine's speed, which is influenced by the force in the link and other factors is calculated using 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). To calculate Force in Arm of Porter Governor given Force in Link, you need Force in Link (T2), Angle of Inclination of Link to Vertical (β), Weight of Ball (w) & Angle of Inclination of Arm to Vertical (α). With our tool, you need to enter the respective value for Force in Link, Angle of Inclination of Link to Vertical, 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 Force in Link, Angle of Inclination of Link to Vertical, 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 = (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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!