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

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

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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. Check FAQs

φ = a \tan (m ball \cdot {ω equillibrium}^{2})

φ - Angle B/W Axis of Radius of Rotation and Line OA?m_ball - Mass of Ball?ω_equillibrium - Mean Equilibrium Angular Speed?

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

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Here is how the Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin equation looks like with Values.

Here is how the Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin equation looks like with Units.

Here is how the Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin equation looks like.

85.5753 = a \tan (5.9 \cdot {1.48}^{2})

85.5753° = a \tan (5.9kg \cdot {1.48}^{2})

85.5753 = a \tan (5.9 \cdot {1.48}^{2})

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

Follow our step by step solution on how to calculate Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin?

FIRST Step Consider the formula

φ = a \tan (m ball \cdot {ω equillibrium}^{2})

Next Step Substitute values of Variables

∴

φ = a \tan (5.9kg \cdot {1.48}^{2})

Next Step Prepare to Evaluate

∴

φ = a \tan (5.9 \cdot {1.48}^{2})

Next Step Evaluate

∴

φ = 1.49357095430656rad

Next Step Convert to Output's Unit

∴

φ = 85.575312085109°

LAST Step Rounding Answer

∴

φ = 85.5753°

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

Variables

Functions

Angle B/W Axis of Radius of Rotation and Line OA

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.

Symbol: φ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle B/W Axis of Radius of Rotation and Line OA

Mass of Ball

Mass of Ball is the measure of the amount of matter in a ball, typically measured in units of mass such as grams or kilograms.

Symbol: m_ball

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Ball

Mean Equilibrium Angular Speed

Mean Equilibrium Angular Speed is the average angular speed of a governor at which the governor reaches equilibrium, maintaining a stable speed.

Symbol: ω_equillibrium

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mean Equilibrium Angular Speed

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.

Syntax: 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.

Syntax: atan(Number)

Other Formulas to find Angle B/W Axis of Radius of Rotation and Line OA

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

φ = a \tan (\frac{F c}{r rotation})

Other formulas in Basics of Governor category

Go Total Downward Force on Sleeve in Wilson-Hartnell Governor

F = M \cdot g + \frac{S auxiliary \cdot b}{a}

Go Corresponding Radial Force Required at Each Ball for Spring Loaded Governors

F B = \frac{F S \cdot y}{2 \cdot x ball arm}

Go Governor Power

P = P mean \cdot x sleeve

Go Height of Watt Governor

h = \frac{895}{N^{2}}

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

Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin evaluator uses Angle B/W Axis of Radius of Rotation and Line OA = atan(Mass of Ball*Mean Equilibrium Angular Speed^2) to evaluate 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 formula is defined as the angular displacement of the axis of rotation of a governor from its mean position, which is a critical parameter in the design and operation of governors in mechanical systems. Angle B/W Axis of Radius of Rotation and Line OA is denoted by φ symbol.

How to evaluate Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin using this online evaluator? To use this online evaluator for Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin, enter Mass of Ball (m_ball) & Mean Equilibrium Angular Speed (ω_equillibrium) and hit the calculate button.

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

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

The formula of Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin is expressed as Angle B/W Axis of Radius of Rotation and Line OA = atan(Mass of Ball*Mean Equilibrium Angular Speed^2). Here is an example- 4907.313 = atan(5.9*1.48^2).

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

With Mass of Ball (m_ball) & Mean Equilibrium Angular Speed (ω_equillibrium) we can find Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin using the formula - Angle B/W Axis of Radius of Rotation and Line OA = atan(Mass of Ball*Mean Equilibrium Angular Speed^2). This formula also uses Tangent, Inverse tan function(s).

What are the other ways to Calculate Angle B/W Axis of Radius of Rotation and Line OA?

Here are the different ways to Calculate Angle B/W Axis of Radius of Rotation and Line OA-

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

Can the Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin be negative?

Yes, the Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin, measured in Angle can be negative.

Which unit is used to measure Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin?

Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin can be measured.

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