Total Downward Force on Sleeve in Wilson-Hartnell Governor Calculator

✖Mass on sleeve is the measure of the quantity of matter that a body or an object contains.ⓘ Mass on Sleeve [M]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Tension in the auxiliary spring is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends.ⓘ Tension in the auxiliary spring [S_auxiliary]			+10% -10%
✖Distance of auxiliary spring from mid of lever is the measurement of how far apart points are.ⓘ Distance of auxiliary spring from mid of lever [b]			+10% -10%
✖Distance of main spring from mid point of lever is the measurement of how far apart points are.ⓘ Distance of main spring from mid point of lever [a]			+10% -10%

✖Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.ⓘ Total Downward Force on Sleeve in Wilson-Hartnell Governor [F]

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Formula

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Total Downward Force on Sleeve in Wilson-Hartnell Governor

Formula

`"F" = "M"*"g"+("S"_{"auxiliary"}*"b")/"a"`

Example

`"231.06N"="12.6kg"*"9.8m/s²"+("6.6N"*"3.26m")/"0.2m"`

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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+(S_auxiliary*b)/a
This formula uses 6 Variables

Variables Used

Force - (Measured in Newton) - Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.
Mass on Sleeve - (Measured in Kilogram) - Mass on sleeve is the measure of the quantity of matter that a body or an object contains.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Tension in the auxiliary spring - (Measured in Newton) - Tension in the auxiliary spring is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends.
Distance of auxiliary spring from mid of lever - (Measured in Meter) - Distance of auxiliary spring from mid of lever is the measurement of how far apart points are.
Distance of main spring from mid point of lever - (Measured in Meter) - Distance of main spring from mid point of lever is the measurement of how far apart points are.

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+(S_auxiliary*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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< 13 Basics of Governor Calculators

Total Downward Force on Sleeve in Wilson-Hartnell Governor

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

Speed of Rotation in RPM

Go Mean Equilibrium Speed in RPM = 60/(2*pi)*sqrt((tan(Angle b/w axis of radius of rotation & line OA))/Mass of Ball)

Ratio of Length of Arm to Length of Link

Go Ratio of Length of Link to Length of Arm = tan(Angle of Inclination of Link to Vertical)/tan(Angle of Inclination of Arm to Vertical)

Corresponding Radial Force Required at Each Ball for Spring Loaded Governors

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

Go Angle b/w axis of radius of rotation & 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

Go Angle b/w axis of radius of rotation & line OA = atan(Mass of Ball*Mean Equilibrium Angular Speed^2)

Mean Equilibrium Speed in RPM

Go Mean Equilibrium Speed in RPM = (Minimum equilibrium speed in r.p.m+Maximum equilibrium speed in r.p.m)/2

Mean Equilibrium Angular Speed

Go Mean Equilibrium Angular Speed = (Minimum equilibrium angular speed+Maximum equilibrium angular speed)/2

Sleeve Load for Decrease in Speed Value when Taking Friction into Account

Go Sleeve load for decrease in speed = Total load on sleeve-Force Required at Sleeve to Overcome Friction

Sleeve Load for Increase in Speed Value when Taking Friction into Account

Go Sleeve load for increase in speed = Total load on sleeve+Force Required at Sleeve to Overcome Friction

Increased Speed

Go Increased Speed = Mean Equilibrium Speed in RPM*(1+Percentage Increase in Speed)

Governor Power

Go Power = Mean Effort*Lift of Sleeve

Height of Watt Governor

Go Height of Governor = 895/(Speed in RPM^2)

Total Downward Force on Sleeve in Wilson-Hartnell Governor Formula

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, The Total Downward Force on Sleeve in Wilson-Hartnell Governor formula is the force created due to the mass of the sleeve as forces on an object are usually balanced (if unbalanced the object accelerates). 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 (S_auxiliary), 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?

The Total Downward Force on Sleeve in Wilson-Hartnell Governor formula is the force created due to the mass of the sleeve as forces on an object are usually balanced (if unbalanced the object accelerates) and is represented as F = M*g+(S_auxiliary*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 measure of the quantity of matter that a body or an object contains, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Tension in the auxiliary spring is the force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from opposite ends, Distance of auxiliary spring from mid of lever is the measurement of how far apart points are & Distance of main spring from mid point of lever is the measurement of how far apart points are.

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

The Total Downward Force on Sleeve in Wilson-Hartnell Governor formula is the force created due to the mass of the sleeve as forces on an object are usually balanced (if unbalanced the object accelerates) 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 (S_auxiliary), 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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