Centrifugal Force on Each Ball for Wilson-Hartnell Governor Calculator

✖Tension in the main spring centrifugal force is the force exerted on an object as it moves in a circular path around a fixed point.ⓘ Tension in the Main Spring [P]			+10% -10%
✖Mass on Sleeve is the amount of mass attached to the sleeve of a centrifuge, which experiences a centrifugal force when the centrifuge is spinning.ⓘ Mass on Sleeve [M]			+10% -10%
✖Acceleration due to Gravity is the downward force exerted on an object due to the gravitational attraction of a celestial body, such as the Earth.ⓘ 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 length of the spring from the midpoint of the lever in a centrifugal force system.ⓘ Distance of Auxiliary Spring from Mid of Lever [b]			+10% -10%
✖Distance of Main Spring from Mid Point of Lever is the length of the main spring measured from the midpoint of the lever in a centrifugal force system.ⓘ Distance of Main Spring from Mid Point of Lever [a]			+10% -10%
✖Length of Sleeve Arm of Lever is the distance from the axis of rotation to the point where the centrifugal force is applied.ⓘ Length of Sleeve Arm of Lever [y]			+10% -10%
✖Length of Ball Arm of Lever is the distance from the axis of rotation to the point where the centrifugal force is applied.ⓘ Length of Ball Arm of Lever [x_{ball arm}]			+10% -10%

✖Centrifugal Force is the apparent outward force that draws a rotating body away from the center of rotation, resulting in a circular motion.ⓘ Centrifugal Force on Each Ball for Wilson-Hartnell Governor [F_c]

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Centrifugal Force on Each Ball for Wilson-Hartnell Governor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centrifugal Force = Tension in the Main Spring+(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)*Length of Sleeve Arm of Lever/2*Length of Ball Arm of Lever
F_c = P+(M*g+(S_auxiliary*b)/a)*y/2*x_{ball arm}
This formula uses 9 Variables

Variables Used

Centrifugal Force - (Measured in Newton) - Centrifugal Force is the apparent outward force that draws a rotating body away from the center of rotation, resulting in a circular motion.
Tension in the Main Spring - (Measured in Newton) - Tension in the main spring centrifugal force is the force exerted on an object as it moves in a circular path around a fixed point.
Mass on Sleeve - (Measured in Kilogram) - Mass on Sleeve is the amount of mass attached to the sleeve of a centrifuge, which experiences a centrifugal force when the centrifuge is spinning.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is the downward force exerted on an object due to the gravitational attraction of a celestial body, such as the Earth.
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 length of the spring from the midpoint of the lever in a centrifugal force system.
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 lever in a centrifugal force system.
Length of Sleeve Arm of Lever - (Measured in Meter) - Length of Sleeve Arm of Lever is the distance from the axis of rotation to the point where the centrifugal force is applied.
Length of Ball Arm of Lever - (Measured in Meter) - Length of Ball Arm of Lever is the distance from the axis of rotation to the point where the centrifugal force is applied.

STEP 1: Convert Input(s) to Base Unit

Tension in the Main Spring: 10 Newton --> 10 Newton No Conversion Required
Mass on Sleeve: 2.67 Kilogram --> 2.67 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: 2.66 Newton --> 2.66 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
Length of Sleeve Arm of Lever: 1.2 Meter --> 1.2 Meter No Conversion Required
Length of Ball Arm of Lever: 0.6 Meter --> 0.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_c = P+(M*g+(S_auxiliary*b)/a)*y/2*x_{ball arm} --> 10+(2.67*9.8+(2.66*3.26)/0.2)*1.2/2*0.6

Evaluating ... ...

F_c = 35.02864

STEP 3: Convert Result to Output's Unit

35.02864 Newton --> No Conversion Required

FINAL ANSWER

35.02864 Newton <-- Centrifugal Force

(Calculation completed in 00.004 seconds)

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< Centrifugal Force Calculators

Centrifugal Force at Maximum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor

LaTeX Go Centrifugal Force at Maximum Equilibrium Speed = Tension in Main Spring at Maximum Speed+(Mass on Sleeve*Acceleration due to Gravity+(Tension in Auxiliary Spring at Maximum Speed*Distance of Auxiliary Spring from Mid of Lever)/Distance of Main Spring from Mid Point of Lever)*Length of Sleeve Arm of Lever/2*Length of Ball Arm of Lever

Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor

LaTeX Go Centrifugal Force at Minimum Equilibrium Speed = Tension in Main Spring at Minimum Speed+(Mass on Sleeve*Acceleration due to Gravity+(Tension in Auxiliary Spring at Minimum Speed*Distance of Auxiliary Spring from Mid of Lever)/Distance of Main Spring from Mid Point of Lever)*Length of Sleeve Arm of Lever/2*Length of Ball Arm of Lever

Centrifugal Force at Maximum Radius of Rotation

LaTeX Go Centrifugal Force at Maximum Radius of Rotation = Mass of Ball*Angular Speed of Governor at Maximum Radius^2*Maximum Radius of Rotation

Centrifugal Force at Minimum Radius of Rotation

LaTeX Go Centrifugal Force at Minimum Radius of Rotation = Mass of Ball*Angular Speed of Governor at Minimum Radius^2*Minimum Radius of Rotation

Centrifugal Force on Each Ball for Wilson-Hartnell Governor Formula

LaTeX Go

What is Wilson-Hartnell Governor?

The Wilson-Hartnell governor is a type of centrifugal governor used to regulate the speed of engines and turbines. It combines elements of both the Wilson and Hartnell governors, using rotating weights and springs to control the engine speed. The governor adjusts the fuel or steam input based on the rotational speed, ensuring stable and consistent engine performance.

How to Calculate Centrifugal Force on Each Ball for Wilson-Hartnell Governor?

Centrifugal Force on Each Ball for Wilson-Hartnell Governor calculator uses Centrifugal Force = Tension in the Main Spring+(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)*Length of Sleeve Arm of Lever/2*Length of Ball Arm of Lever to calculate the Centrifugal Force, Centrifugal Force on Each Ball for Wilson-Hartnell Governor formula is defined as the force exerted on each ball of the governor, which is responsible for maintaining the equilibrium of the system, and is influenced by the weight of the ball, the auxiliary spring, and the distance from the axis of rotation. Centrifugal Force is denoted by F_c symbol.

How to calculate Centrifugal Force on Each Ball for Wilson-Hartnell Governor using this online calculator? To use this online calculator for Centrifugal Force on Each Ball for Wilson-Hartnell Governor, enter Tension in the Main Spring (P), 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), Length of Sleeve Arm of Lever (y) & Length of Ball Arm of Lever (x_{ball arm}) and hit the calculate button. Here is how the Centrifugal Force on Each Ball for Wilson-Hartnell Governor calculation can be explained with given input values -> 34.96996 = 10+(2.67*9.8+(2.66*3.26)/0.2)*1.2/2*0.6.

FAQ

What is Centrifugal Force on Each Ball for Wilson-Hartnell Governor?

Centrifugal Force on Each Ball for Wilson-Hartnell Governor formula is defined as the force exerted on each ball of the governor, which is responsible for maintaining the equilibrium of the system, and is influenced by the weight of the ball, the auxiliary spring, and the distance from the axis of rotation and is represented as F_c = P+(M*g+(S_auxiliary*b)/a)*y/2*x_{ball arm} or Centrifugal Force = Tension in the Main Spring+(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)*Length of Sleeve Arm of Lever/2*Length of Ball Arm of Lever. Tension in the main spring centrifugal force is the force exerted on an object as it moves in a circular path around a fixed point, Mass on Sleeve is the amount of mass attached to the sleeve of a centrifuge, which experiences a centrifugal force when the centrifuge is spinning, Acceleration due to Gravity is the downward force exerted on an object due to the gravitational attraction of a celestial body, such as the Earth, 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 length of the spring from the midpoint of the lever in a centrifugal force system, Distance of Main Spring from Mid Point of Lever is the length of the main spring measured from the midpoint of the lever in a centrifugal force system, Length of Sleeve Arm of Lever is the distance from the axis of rotation to the point where the centrifugal force is applied & Length of Ball Arm of Lever is the distance from the axis of rotation to the point where the centrifugal force is applied.

How to calculate Centrifugal Force on Each Ball for Wilson-Hartnell Governor?

Centrifugal Force on Each Ball for Wilson-Hartnell Governor formula is defined as the force exerted on each ball of the governor, which is responsible for maintaining the equilibrium of the system, and is influenced by the weight of the ball, the auxiliary spring, and the distance from the axis of rotation is calculated using Centrifugal Force = Tension in the Main Spring+(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)*Length of Sleeve Arm of Lever/2*Length of Ball Arm of Lever. To calculate Centrifugal Force on Each Ball for Wilson-Hartnell Governor, you need Tension in the Main Spring (P), 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), Length of Sleeve Arm of Lever (y) & Length of Ball Arm of Lever (x_{ball arm}). With our tool, you need to enter the respective value for Tension in the Main Spring, 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, Length of Sleeve Arm of Lever & Length of Ball Arm of Lever 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 Centrifugal Force?

In this formula, Centrifugal Force uses Tension in the Main Spring, 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, Length of Sleeve Arm of Lever & Length of Ball Arm of Lever. We can use 3 other way(s) to calculate the same, which is/are as follows -

Centrifugal Force = Mass Attached at the Centre of the Leaf Spring*Angular Speed of the Governor Spindle^2*(Distance from Spindle Axis to Centre of Gravity+Deflection Center of Leaf Spring)
Centrifugal Force = Spring Force+(Mass on Sleeve*Acceleration due to Gravity*Length of Sleeve Arm of Lever)/(2*Length of Ball Arm of Lever)
Centrifugal Force = Centrifugal Force at Minimum Radius of Rotation+(Centrifugal Force at Maximum Radius of Rotation-Centrifugal Force at Minimum Radius of Rotation)*(Radius of Rotation if Governor is in Mid-Position-Minimum Radius of Rotation)/(Maximum Radius of Rotation-Minimum Radius of Rotation)

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