Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O Calculator

✖Controlling Force is the force that regulates the speed of a governor, maintaining a stable equilibrium position despite changes in load or speed.ⓘ Controlling Force [F_c]			+10% -10%
✖Radius of Rotation if Governor is in Mid-Position is the distance from the axis of rotation to the point where the governor is in mid-position.ⓘ Radius of Rotation if Governor is in Mid-Position [r_rotation]			+10% -10%

✖Angle B/W Axis of Radius of Rotation and Line OA is the angle between the axis of rotation of the governor and the line OA, which affects the governor's stability.ⓘ Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O [φ]

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Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle B/W Axis of Radius of Rotation and Line OA = atan(Controlling Force/Radius of Rotation if Governor is in Mid-Position)
φ = atan(F_c/r_rotation)
This formula uses 2 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Angle B/W Axis of Radius of Rotation and Line OA - (Measured in Radian) - Angle B/W Axis of Radius of Rotation and Line OA is the angle between the axis of rotation of the governor and the line OA, which affects the governor's stability.
Controlling Force - (Measured in Newton) - Controlling Force is the force that regulates the speed of a governor, maintaining a stable equilibrium position despite changes in load or speed.
Radius of Rotation if Governor is in Mid-Position - (Measured in Meter) - Radius of Rotation if Governor is in Mid-Position is the distance from the axis of rotation to the point where the governor is in mid-position.

STEP 1: Convert Input(s) to Base Unit

Controlling Force: 78 Newton --> 78 Newton No Conversion Required
Radius of Rotation if Governor is in Mid-Position: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ = atan(F_c/r_rotation) --> atan(78/6)

Evaluating ... ...

φ = 1.49402443552512

STEP 3: Convert Result to Output's Unit

1.49402443552512 Radian -->85.6012946450206 Degree (Check conversion here)

FINAL ANSWER

85.6012946450206 ≈ 85.60129 Degree <-- Angle B/W Axis of Radius of Rotation and Line OA

(Calculation completed in 00.004 seconds)

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< Basics of Governor Calculators

Total Downward Force on Sleeve in Wilson-Hartnell Governor

LaTeX 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

Corresponding Radial Force Required at Each Ball for Spring Loaded Governors

LaTeX 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

LaTeX Go Angle B/W Axis of Radius of Rotation and 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

LaTeX Go Angle B/W Axis of Radius of Rotation and Line OA = atan(Mass of Ball*Mean Equilibrium Angular Speed^2)

Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O Formula

LaTeX Go

Angle B/W Axis of Radius of Rotation and Line OA = atan(Controlling Force/Radius of Rotation if Governor is in Mid-Position)
φ = atan(F_c/r_rotation)

What is RPM?

RPM stands for "Revolutions Per Minute." It measures the number of complete turns a rotating object makes in one minute. It’s commonly used to describe the speed of engines, motors, and other mechanical devices that involve rotation. The higher the RPM, the faster the object is spinning.

How to Calculate Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O?

Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O calculator uses Angle B/W Axis of Radius of Rotation and Line OA = atan(Controlling Force/Radius of Rotation if Governor is in Mid-Position) to calculate the Angle B/W Axis of Radius of Rotation and Line OA, Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O formula is defined as the angular displacement of the axis of rotation from the line joining the point on the curve to the origin, which is a crucial concept in understanding the basics of governor in mechanical systems. Angle B/W Axis of Radius of Rotation and Line OA is denoted by φ symbol.

How to calculate Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O using this online calculator? To use this online calculator for Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O, enter Controlling Force (F_c) & Radius of Rotation if Governor is in Mid-Position (r_rotation) and hit the calculate button. Here is how the Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O calculation can be explained with given input values -> 4904.593 = atan(78/6).

FAQ

What is Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O?

Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O formula is defined as the angular displacement of the axis of rotation from the line joining the point on the curve to the origin, which is a crucial concept in understanding the basics of governor in mechanical systems and is represented as φ = atan(F_c/r_rotation) or Angle B/W Axis of Radius of Rotation and Line OA = atan(Controlling Force/Radius of Rotation if Governor is in Mid-Position). Controlling Force is the force that regulates the speed of a governor, maintaining a stable equilibrium position despite changes in load or speed & Radius of Rotation if Governor is in Mid-Position is the distance from the axis of rotation to the point where the governor is in mid-position.

How to calculate Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O?

Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O formula is defined as the angular displacement of the axis of rotation from the line joining the point on the curve to the origin, which is a crucial concept in understanding the basics of governor in mechanical systems is calculated using Angle B/W Axis of Radius of Rotation and Line OA = atan(Controlling Force/Radius of Rotation if Governor is in Mid-Position). To calculate Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin O, you need Controlling Force (F_c) & Radius of Rotation if Governor is in Mid-Position (r_rotation). With our tool, you need to enter the respective value for Controlling Force & Radius of Rotation if Governor is in Mid-Position 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 Angle B/W Axis of Radius of Rotation and Line OA?

In this formula, Angle B/W Axis of Radius of Rotation and Line OA uses Controlling Force & Radius of Rotation if Governor is in Mid-Position. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angle B/W Axis of Radius of Rotation and Line OA = atan(Mass of Ball*Mean Equilibrium Angular Speed^2)

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