Relation between Controlling Force and Radius of Rotation for Isochronous 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
Fc = a*r
This formula uses 3 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.
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fc = a*r --> 1.65*7
Evaluating ... ...
Fc = 11.55
STEP 3: Convert Result to Output's Unit
11.55 Newton --> No Conversion Required
FINAL ANSWER
11.55 Newton <-- Controlling Force
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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 Isochronous Governor Formula

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

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 Isochronous Governor?

Relation between Controlling Force and Radius of Rotation for Isochronous Governor calculator uses Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball to calculate the Controlling Force, Relation between Controlling Force and Radius of Rotation for Isochronous Governor formula is defined as a mathematical expression that establishes a correlation between the controlling force and radius of rotation in an isochronous governor, which is a mechanical device used to regulate the speed of an engine or other machine. Controlling Force is denoted by Fc symbol.

How to calculate Relation between Controlling Force and Radius of Rotation for Isochronous Governor using this online calculator? To use this online calculator for Relation between Controlling Force and Radius of Rotation for Isochronous Governor, enter Distance of Main Spring From Mid Point of Lever (a) & Radius of Path of Rotation of Ball (r) and hit the calculate button. Here is how the Relation between Controlling Force and Radius of Rotation for Isochronous Governor calculation can be explained with given input values -> 11.55 = 1.65*7.

FAQ

What is Relation between Controlling Force and Radius of Rotation for Isochronous Governor?
Relation between Controlling Force and Radius of Rotation for Isochronous Governor formula is defined as a mathematical expression that establishes a correlation between the controlling force and radius of rotation in an isochronous governor, which is a mechanical device used to regulate the speed of an engine or other machine and is represented as Fc = a*r or Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball. 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.
How to calculate Relation between Controlling Force and Radius of Rotation for Isochronous Governor?
Relation between Controlling Force and Radius of Rotation for Isochronous Governor formula is defined as a mathematical expression that establishes a correlation between the controlling force and radius of rotation in an isochronous governor, which is a mechanical device used to regulate the speed of an engine or other machine is calculated using Controlling Force = Distance of Main Spring From Mid Point of Lever*Radius of Path of Rotation of Ball. To calculate Relation between Controlling Force and Radius of Rotation for Isochronous Governor, you need Distance of Main Spring From Mid Point of Lever (a) & Radius of Path of Rotation of Ball (r). 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 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. 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-Distance of Auxiliary Spring From Mid of Lever
  • 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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