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

STEP 0: Pre-Calculation Summary
Formula Used
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
Fec1 = P1+(M*g+(S1*b)/a)*y/2*xball arm
This formula uses 9 Variables
Variables Used
Centrifugal Force at Minimum Equilibrium Speed - (Measured in Newton) - Centrifugal Force at Minimum Equilibrium Speed is the force that acts on an object as it rotates at its minimum equilibrium speed around a circular path.
Tension in Main Spring at Minimum Speed - (Measured in Newton) - Tension in Main Spring at Minimum Speed is the minimum centrifugal force required to maintain the spring's tension at its lowest point during rotation.
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 Auxiliary Spring at Minimum Speed - (Measured in Newton) - Tension in Auxiliary Spring at Minimum Speed is the minimum centrifugal force exerted on the auxiliary spring when the system is rotating at its lowest 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 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 Main Spring at Minimum Speed: 7.4 Newton --> 7.4 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 Auxiliary Spring at Minimum Speed: 10.1 Newton --> 10.1 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
Fec1 = P1+(M*g+(S1*b)/a)*y/2*xball arm --> 7.4+(2.67*9.8+(10.1*3.26)/0.2)*1.2/2*0.6
Evaluating ... ...
Fec1 = 76.08656
STEP 3: Convert Result to Output's Unit
76.08656 Newton --> No Conversion Required
FINAL ANSWER
76.08656 Newton <-- Centrifugal Force at Minimum Equilibrium Speed
(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 Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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

​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
Fec1 = P1+(M*g+(S1*b)/a)*y/2*xball arm

What is Inertia?

Inertia is an object's resistance to any change in its state of motion. If an object is at rest, it tends to stay at rest; if it's moving, it keeps moving at the same speed and direction unless acted upon by an external force. It's a fundamental property of matter that affects how objects respond to forces.






How to Calculate Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor?

Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor calculator uses 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 to calculate the Centrifugal Force at Minimum Equilibrium Speed, Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor formula is defined as the force that acts on each ball of the governor at the minimum equilibrium speed, which is essential to maintain the stability of the governor and ensure its proper functioning. Centrifugal Force at Minimum Equilibrium Speed is denoted by Fec1 symbol.

How to calculate Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor using this online calculator? To use this online calculator for Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor, enter Tension in Main Spring at Minimum Speed (P1), Mass on Sleeve (M), Acceleration due to Gravity (g), Tension in Auxiliary Spring at Minimum Speed (S1), 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 (xball arm) and hit the calculate button. Here is how the Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor calculation can be explained with given input values -> 76.08656 = 7.4+(2.67*9.8+(10.1*3.26)/0.2)*1.2/2*0.6.

FAQ

What is Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor?
Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor formula is defined as the force that acts on each ball of the governor at the minimum equilibrium speed, which is essential to maintain the stability of the governor and ensure its proper functioning and is represented as Fec1 = P1+(M*g+(S1*b)/a)*y/2*xball arm or 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. Tension in Main Spring at Minimum Speed is the minimum centrifugal force required to maintain the spring's tension at its lowest point during rotation, 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 Auxiliary Spring at Minimum Speed is the minimum centrifugal force exerted on the auxiliary spring when the system is rotating at its lowest speed, 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 at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor?
Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor formula is defined as the force that acts on each ball of the governor at the minimum equilibrium speed, which is essential to maintain the stability of the governor and ensure its proper functioning is calculated using 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. To calculate Centrifugal Force at Minimum Equilibrium Speed on Each Ball for Wilson-Hartnell Governor, you need Tension in Main Spring at Minimum Speed (P1), Mass on Sleeve (M), Acceleration due to Gravity (g), Tension in Auxiliary Spring at Minimum Speed (S1), 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 (xball arm). With our tool, you need to enter the respective value for 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 & 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!