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Force in Arm of Porter Governor given Force in Link Formula

GoForce in Arm of Porter Governor given Centrifugal Force on Ball Formula

GoForce in Arm of Porter Governor given Mass of Central Load and Ball Formula

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Force in Arm is any interaction that, when unopposed, will change the motion of an object. Check FAQs

T 1 = \frac{T 2 \cdot \cos (β) + w}{\cos (α)}

T₁ - Force in Arm?T₂ - Force in Link?β - Angle of Inclination of Link to Vertical?w - Weight of Ball?α - Angle of Inclination of Arm to Vertical?

Force in Arm of Porter Governor given Force in Link Example

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Here is how the Force in Arm of Porter Governor given Force in Link equation looks like with Values.

Here is how the Force in Arm of Porter Governor given Force in Link equation looks like with Units.

Here is how the Force in Arm of Porter Governor given Force in Link equation looks like.

43.3159 = \frac{18 \cdot \cos (35) + 25}{\cos (23.4287)}

43.3159N = \frac{18N \cdot \cos (35°) + 25N}{\cos (23.4287°)}

43.3159 = \frac{18 \cdot \cos (35) + 25}{\cos (23.4287)}

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Force in Arm of Porter Governor given Force in Link Solution

Follow our step by step solution on how to calculate Force in Arm of Porter Governor given Force in Link?

FIRST Step Consider the formula

T 1 = \frac{T 2 \cdot \cos (β) + w}{\cos (α)}

Next Step Substitute values of Variables

∴

T 1 = \frac{18N \cdot \cos (35°) + 25N}{\cos (23.4287°)}

Next Step Convert Units

∴

T 1 = \frac{18N \cdot \cos (0.6109rad) + 25N}{\cos (0.4089rad)}

Next Step Prepare to Evaluate

∴

T 1 = \frac{18 \cdot \cos (0.6109) + 25}{\cos (0.4089)}

Next Step Evaluate

∴

T 1 = 43.3158871861174N

LAST Step Rounding Answer

∴

T 1 = 43.3159N

Force in Arm of Porter Governor given Force in Link Formula Elements

Variables

Functions

Force in Arm

Force in Arm is any interaction that, when unopposed, will change the motion of an object.

Symbol: T₁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force in Arm

Force in Link

Force in Link is any interaction that, when unopposed, will change the motion of an object.

Symbol: T₂

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force in Link

Angle of Inclination of Link to Vertical

Angle of inclination of link to vertical is the angle formed by the intersection of the arm and the x-axis.

Symbol: β

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination of Link to Vertical

Weight of Ball

Weight of ball is the force acting on the object due to gravity.

Symbol: w

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Ball

Angle of Inclination of Arm to Vertical

Angle of Inclination of Arm to Vertical is the angle formed by the intersection of the arm and the x-axis.

Symbol: α

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination of Arm to Vertical

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Force in Arm

Go Force in Arm of Porter Governor given Centrifugal Force on Ball

T 1 = \frac{F′ c - T 2 \cdot \sin (β)}{\sin (α)}

Go Force in Arm of Porter Governor given Mass of Central Load and Ball

T 1 = \frac{M \cdot g + m b \cdot g}{2 \cdot \cos (α)}

Go Force in Arm of Porter Governor given Weight of Central Load and Ball

T 1 = \frac{W c + w}{2 \cdot \cos (α)}

Other formulas in Effort and Force category

Go Effort of Porter Governor if Angle Made by Upper and Lower Arms are Equal

P m = δ c \cdot (m b + M) \cdot g

Go Effort of Porter Governor if Angle Made by Upper and Lower Arms are Not Equal

P m = \frac{2 \cdot m b}{1 + q} + M \cdot δ c \cdot g

Go Force in Link of Porter Governor given Mass of Central Load

T 2 = \frac{M \cdot g}{2 \cdot \cos (β)}

Go Force in Link of Porter Governor given Weight of Central Load

T 2 = \frac{W c}{2 \cdot \cos (β)}

How to Evaluate Force in Arm of Porter Governor given Force in Link?

Force in Arm of Porter Governor given Force in Link evaluator uses Force in Arm = (Force in Link*cos(Angle of Inclination of Link to Vertical)+Weight of Ball)/cos(Angle of Inclination of Arm to Vertical) to evaluate the Force in Arm, Force in Arm of Porter Governor given Force in Link formula is defined as a measure of the force exerted in the arm of a Porter Governor, a mechanical device used in steam engines to regulate the engine's speed, which is influenced by the force in the link and other factors. Force in Arm is denoted by T₁ symbol.

How to evaluate Force in Arm of Porter Governor given Force in Link using this online evaluator? To use this online evaluator for Force in Arm of Porter Governor given Force in Link, enter Force in Link (T₂), Angle of Inclination of Link to Vertical (β), Weight of Ball (w) & Angle of Inclination of Arm to Vertical (α) and hit the calculate button.

FAQs on Force in Arm of Porter Governor given Force in Link

What is the formula to find Force in Arm of Porter Governor given Force in Link?

The formula of Force in Arm of Porter Governor given Force in Link is expressed as Force in Arm = (Force in Link*cos(Angle of Inclination of Link to Vertical)+Weight of Ball)/cos(Angle of Inclination of Arm to Vertical). Here is an example- 56.20755 = (18*cos(0.610865238197901)+25)/cos(0.408907779928993).

How to calculate Force in Arm of Porter Governor given Force in Link?

With Force in Link (T₂), Angle of Inclination of Link to Vertical (β), Weight of Ball (w) & Angle of Inclination of Arm to Vertical (α) we can find Force in Arm of Porter Governor given Force in Link using the formula - Force in Arm = (Force in Link*cos(Angle of Inclination of Link to Vertical)+Weight of Ball)/cos(Angle of Inclination of Arm to Vertical). This formula also uses Cosine function(s).

What are the other ways to Calculate Force in Arm?

Here are the different ways to Calculate Force in Arm-

Force in Arm=(Centrifugal Force Acting on Ball-Force in Link*sin(Angle of Inclination of Link to Vertical))/sin(Angle of Inclination of Arm to Vertical)
Force in Arm=(Mass of Central Load*Acceleration Due to Gravity+Mass of Ball*Acceleration Due to Gravity)/(2*cos(Angle of Inclination of Arm to Vertical))
Force in Arm=(Weight of Central Load+Weight of Ball)/(2*cos(Angle of Inclination of Arm to Vertical))

Can the Force in Arm of Porter Governor given Force in Link be negative?

No, the Force in Arm of Porter Governor given Force in Link, measured in Force cannot be negative.

Which unit is used to measure Force in Arm of Porter Governor given Force in Link?

Force in Arm of Porter Governor given Force in Link is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force in Arm of Porter Governor given Force in Link can be measured.

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Force in Arm of Porter Governor given Force in Link Formula

​GoForce in Arm of Porter Governor given Centrifugal Force on Ball Formula

​GoForce in Arm of Porter Governor given Mass of Central Load and Ball Formula

Force in Arm of Porter Governor given Force in Link Example

Force in Arm of Porter Governor given Force in Link Solution

Force in Arm of Porter Governor given Force in Link Formula Elements

Other Formulas to find Force in Arm

Other formulas in Effort and Force category

How to Evaluate Force in Arm of Porter Governor given Force in Link?

FAQs on Force in Arm of Porter Governor given Force in Link

Variable Name

GoForce in Arm of Porter Governor given Centrifugal Force on Ball Formula

GoForce in Arm of Porter Governor given Mass of Central Load and Ball Formula