Relation between Controlling Force and Radius of Rotation for Unstable Governor Calculator

✖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%
✖Radius of path of rotation of ball is the horizontal distance from the centre of the ball to the spindle axis in metres.ⓘ Radius of Path of Rotation of Ball [r]			+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%

✖Controlling Force is the inward force acting on the rotating balls is known as controlling force.ⓘ Relation between Controlling Force and Radius of Rotation for Unstable Governor [F_c]

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Relation between Controlling Force and Radius of Rotation for Unstable Governor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball+Distance of Auxiliary Spring From Mid of Lever
F_c = a*r+b
This formula uses 4 Variables

Variables Used

Controlling Force - (Measured in Newton) - Controlling Force is the inward force acting on the rotating balls is known as controlling force.
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.
Radius of Path of Rotation of Ball - (Measured in Meter) - Radius of path of rotation of ball is the horizontal distance from the centre of the ball to the spindle axis in metres.
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.

STEP 1: Convert Input(s) to Base Unit

Distance of Main Spring From Mid Point of Lever: 1.65 Meter --> 1.65 Meter No Conversion Required
Radius of Path of Rotation of Ball: 7 Meter --> 7 Meter No Conversion Required
Distance of Auxiliary Spring From Mid of Lever: 3.26 Meter --> 3.26 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_c = a*r+b --> 1.65*7+3.26

Evaluating ... ...

F_c = 14.81

STEP 3: Convert Result to Output's Unit

14.81 Newton --> No Conversion Required

FINAL ANSWER

14.81 Newton <-- Controlling Force

(Calculation completed in 00.004 seconds)

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< Controlling Force Calculators

Relation between Controlling Force and Radius of Rotation for Unstable Governor

LaTeX Go Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball+Distance of Auxiliary Spring From Mid of Lever

Relation between Controlling Force and Radius of Rotation for Stable Governor

LaTeX Go Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball-Distance of Auxiliary Spring From Mid of Lever

Value of Controlling Force for Decrease in Speed

LaTeX Go Controlling Force for Decrease in Speed = Controlling Force-Corresponding Radial Force Required at Each Ball

Relation between Controlling Force and Radius of Rotation for Isochronous Governor

LaTeX Go Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball

Relation between Controlling Force and Radius of Rotation for Unstable Governor Formula

LaTeX Go

Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball+Distance of Auxiliary Spring From Mid of Lever
F_c = a*r+b

What is controlling force?

When a body rotates in a circular path, there is an inward radial force or centripetal force acting on it. In case of a governor running at a steady speed, the inward force acting on the rotating balls is known as controlling force. It is equal and opposite of the centrifugal reaction.

How to Calculate Relation between Controlling Force and Radius of Rotation for Unstable Governor?

Relation between Controlling Force and Radius of Rotation for Unstable Governor calculator uses Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball+Distance of Auxiliary Spring From Mid of Lever to calculate the Controlling Force, Relation between Controlling Force and Radius of Rotation for Unstable Governor formula is defined as a mathematical expression that establishes a correlation between the controlling force and the radius of rotation in an unstable governor system, providing insights into the dynamic behavior of the governor. Controlling Force is denoted by F_c symbol.

How to calculate Relation between Controlling Force and Radius of Rotation for Unstable Governor using this online calculator? To use this online calculator for Relation between Controlling Force and Radius of Rotation for Unstable Governor, enter Distance of Main Spring From Mid Point of Lever (a), Radius of Path of Rotation of Ball (r) & Distance of Auxiliary Spring From Mid of Lever (b) and hit the calculate button. Here is how the Relation between Controlling Force and Radius of Rotation for Unstable Governor calculation can be explained with given input values -> 14.81 = 1.65*7+3.26.

FAQ

What is Relation between Controlling Force and Radius of Rotation for Unstable Governor?

Relation between Controlling Force and Radius of Rotation for Unstable Governor formula is defined as a mathematical expression that establishes a correlation between the controlling force and the radius of rotation in an unstable governor system, providing insights into the dynamic behavior of the governor and is represented as F_c = a*r+b or Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball+Distance of Auxiliary Spring From Mid of Lever. Distance of main spring from mid point of lever is the measurement of how far apart points are, Radius of path of rotation of ball is the horizontal distance from the centre of the ball to the spindle axis in metres & Distance of auxiliary spring from mid of lever is the measurement of how far apart points are.

How to calculate Relation between Controlling Force and Radius of Rotation for Unstable Governor?

Relation between Controlling Force and Radius of Rotation for Unstable Governor formula is defined as a mathematical expression that establishes a correlation between the controlling force and the radius of rotation in an unstable governor system, providing insights into the dynamic behavior of the governor is calculated using Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball+Distance of Auxiliary Spring From Mid of Lever. To calculate Relation between Controlling Force and Radius of Rotation for Unstable Governor, you need Distance of Main Spring From Mid Point of Lever (a), Radius of Path of Rotation of Ball (r) & Distance of Auxiliary Spring From Mid of Lever (b). With our tool, you need to enter the respective value for Distance of Main Spring From Mid Point of Lever, Radius of Path of Rotation of Ball & Distance of Auxiliary Spring From Mid 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 Controlling Force?

In this formula, Controlling Force uses Distance of Main Spring From Mid Point of Lever, Radius of Path of Rotation of Ball & Distance of Auxiliary Spring From Mid of Lever. We can use 2 other way(s) to calculate the same, which is/are as follows -

Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball
Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball-Distance of Auxiliary Spring From Mid of Lever

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