Total Downward Force on Sleeve in Wilson-Hartnell Governor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force = Mass on Sleeve*Acceleration due to Gravity+(Tension in the auxiliary spring*Distance of Auxiliary Spring from Mid of Lever)/Distance of Main Spring from Mid Point of Lever
F = M*g+(Sauxiliary*b)/a
This formula uses 6 Variables
Variables Used
Force - (Measured in Newton) - Force is the thrust or pressure exerted by the governor on the engine to control its speed and maintain a stable operation.
Mass on Sleeve - (Measured in Kilogram) - Mass on Sleeve is the weight attached to the sleeve of a governor, which helps to regulate the engine speed by balancing the centrifugal force.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is the rate of change of velocity of an object under the sole influence of gravity, typically measured in meters per second squared.
Tension in the auxiliary spring - (Measured in Newton) - Tension in the auxiliary spring is the force exerted by the spring in a governor that helps in regulating the engine speed.
Distance of Auxiliary Spring from Mid of Lever - (Measured in Meter) - Distance of Auxiliary Spring from Mid of Lever is the length of the spring from the midpoint of the governor's lever, affecting the governor's sensitivity.
Distance of Main Spring from Mid Point of Lever - (Measured in Meter) - Distance of Main Spring from Mid Point of Lever is the length of the main spring measured from the midpoint of the governor's lever.
STEP 1: Convert Input(s) to Base Unit
Mass on Sleeve: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Tension in the auxiliary spring: 6.6 Newton --> 6.6 Newton No Conversion Required
Distance of Auxiliary Spring from Mid of Lever: 3.26 Meter --> 3.26 Meter No Conversion Required
Distance of Main Spring from Mid Point of Lever: 0.2 Meter --> 0.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = M*g+(Sauxiliary*b)/a --> 12.6*9.8+(6.6*3.26)/0.2
Evaluating ... ...
F = 231.06
STEP 3: Convert Result to Output's Unit
231.06 Newton --> No Conversion Required
FINAL ANSWER
231.06 Newton <-- Force
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Basics of Governor Calculators

Total Downward Force on Sleeve in Wilson-Hartnell Governor
​ LaTeX ​ Go Force = Mass on Sleeve*Acceleration due to Gravity+(Tension in the auxiliary spring*Distance of Auxiliary Spring from Mid of Lever)/Distance of Main Spring from Mid Point of Lever
Corresponding Radial Force Required at Each Ball for Spring Loaded Governors
​ LaTeX ​ Go Corresponding Radial Force Required at Each Ball = (Force Required at Sleeve to Overcome Friction*Length of Sleeve Arm of Lever)/(2*Length of Ball Arm of Lever)
Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O
​ LaTeX ​ Go Angle B/W Axis of Radius of Rotation and Line OA = atan(Controlling Force/Radius of Rotation if Governor is in Mid-Position)
Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin
​ LaTeX ​ Go Angle B/W Axis of Radius of Rotation and Line OA = atan(Mass of Ball*Mean Equilibrium Angular Speed^2)

Total Downward Force on Sleeve in Wilson-Hartnell Governor Formula

​LaTeX ​Go
Force = Mass on Sleeve*Acceleration due to Gravity+(Tension in the auxiliary spring*Distance of Auxiliary Spring from Mid of Lever)/Distance of Main Spring from Mid Point of Lever
F = M*g+(Sauxiliary*b)/a

What is Downward Force?

The weight of an object is a result of the Earth's attraction downward. Weight is a downward force. Example: An astronaut in space has the same mass as he does on earth while having different weights. This is because there is a difference in gravity. Gravity affects weight, it does not affect mass.

How to Calculate Total Downward Force on Sleeve in Wilson-Hartnell Governor?

Total Downward Force on Sleeve in Wilson-Hartnell Governor calculator uses Force = Mass on Sleeve*Acceleration due to Gravity+(Tension in the auxiliary spring*Distance of Auxiliary Spring from Mid of Lever)/Distance of Main Spring from Mid Point of Lever to calculate the Force, Total Downward Force on Sleeve in Wilson-Hartnell Governor formula is defined as the total force exerted on the sleeve in a Wilson-Hartnell governor, which is a mechanical device used to regulate the speed of an engine, comprising the weight of the sleeve and the force exerted by the auxiliary spring. Force is denoted by F symbol.

How to calculate Total Downward Force on Sleeve in Wilson-Hartnell Governor using this online calculator? To use this online calculator for Total Downward Force on Sleeve in Wilson-Hartnell Governor, enter Mass on Sleeve (M), Acceleration due to Gravity (g), Tension in the auxiliary spring (Sauxiliary), Distance of Auxiliary Spring from Mid of Lever (b) & Distance of Main Spring from Mid Point of Lever (a) and hit the calculate button. Here is how the Total Downward Force on Sleeve in Wilson-Hartnell Governor calculation can be explained with given input values -> 231.06 = 12.6*9.8+(6.6*3.26)/0.2.

FAQ

What is Total Downward Force on Sleeve in Wilson-Hartnell Governor?
Total Downward Force on Sleeve in Wilson-Hartnell Governor formula is defined as the total force exerted on the sleeve in a Wilson-Hartnell governor, which is a mechanical device used to regulate the speed of an engine, comprising the weight of the sleeve and the force exerted by the auxiliary spring and is represented as F = M*g+(Sauxiliary*b)/a or Force = Mass on Sleeve*Acceleration due to Gravity+(Tension in the auxiliary spring*Distance of Auxiliary Spring from Mid of Lever)/Distance of Main Spring from Mid Point of Lever. Mass on Sleeve is the weight attached to the sleeve of a governor, which helps to regulate the engine speed by balancing the centrifugal force, Acceleration due to Gravity is the rate of change of velocity of an object under the sole influence of gravity, typically measured in meters per second squared, Tension in the auxiliary spring is the force exerted by the spring in a governor that helps in regulating the engine speed, Distance of Auxiliary Spring from Mid of Lever is the length of the spring from the midpoint of the governor's lever, affecting the governor's sensitivity & Distance of Main Spring from Mid Point of Lever is the length of the main spring measured from the midpoint of the governor's lever.
How to calculate Total Downward Force on Sleeve in Wilson-Hartnell Governor?
Total Downward Force on Sleeve in Wilson-Hartnell Governor formula is defined as the total force exerted on the sleeve in a Wilson-Hartnell governor, which is a mechanical device used to regulate the speed of an engine, comprising the weight of the sleeve and the force exerted by the auxiliary spring is calculated using Force = Mass on Sleeve*Acceleration due to Gravity+(Tension in the auxiliary spring*Distance of Auxiliary Spring from Mid of Lever)/Distance of Main Spring from Mid Point of Lever. To calculate Total Downward Force on Sleeve in Wilson-Hartnell Governor, you need Mass on Sleeve (M), Acceleration due to Gravity (g), Tension in the auxiliary spring (Sauxiliary), Distance of Auxiliary Spring from Mid of Lever (b) & Distance of Main Spring from Mid Point of Lever (a). With our tool, you need to enter the respective value for Mass on Sleeve, Acceleration due to Gravity, Tension in the auxiliary spring, Distance of Auxiliary Spring from Mid of Lever & Distance of Main Spring from Mid Point of Lever 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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