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

GoForce in Arm of Porter Governor given Force in Link 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{F′ c - T 2 \cdot \sin (β)}{\sin (α)}

T₁ - Force in Arm?F′_c - Centrifugal Force Acting on Ball?T₂ - Force in Link?β - Angle of Inclination of Link to Vertical?α - Angle of Inclination of Arm to Vertical?

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

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

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

Here is how the Force in Arm of Porter Governor given Centrifugal Force on Ball equation looks like.

5.9748 = \frac{12.7 - 18 \cdot \sin (35)}{\sin (23.4287)}

5.9748N = \frac{12.7N - 18N \cdot \sin (35°)}{\sin (23.4287°)}

5.9748 = \frac{12.7 - 18 \cdot \sin (35)}{\sin (23.4287)}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T 1 = \frac{12.7N - 18N \cdot \sin (35°)}{\sin (23.4287°)}

Next Step Convert Units

∴

T 1 = \frac{12.7N - 18N \cdot \sin (0.6109rad)}{\sin (0.4089rad)}

Next Step Prepare to Evaluate

∴

T 1 = \frac{12.7 - 18 \cdot \sin (0.6109)}{\sin (0.4089)}

Next Step Evaluate

∴

T 1 = 5.97479873255383N

LAST Step Rounding Answer

∴

T 1 = 5.9748N

Force in Arm of Porter Governor given Centrifugal Force on Ball 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

Centrifugal Force Acting on Ball

Centrifugal Force Acting on Ball is the apparent outward force on a mass when it is rotated.

Symbol: F′_c

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Centrifugal Force Acting on Ball

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

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Force in Arm

Go Force in Arm of Porter Governor given Force in Link

T 1 = \frac{T 2 \cdot \cos (β) + w}{\cos (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 Centrifugal Force on Ball?

Force in Arm of Porter Governor given Centrifugal Force on Ball evaluator uses 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) to evaluate the Force in Arm, Force in Arm of Porter Governor given Centrifugal Force on Ball formula is defined as a measure of the force exerted by the ball on the arm of the Porter Governor, which is a type of centrifugal governor used in steam engines to regulate the engine's speed. Force in Arm is denoted by T₁ symbol.

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

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

What is the formula to find Force in Arm of Porter Governor given Centrifugal Force on Ball?

The formula of Force in Arm of Porter Governor given Centrifugal Force on Ball is expressed as 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). Here is an example- 3.35964 = (12.7-18*sin(0.610865238197901))/sin(0.408907779928993).

How to calculate Force in Arm of Porter Governor given Centrifugal Force on Ball?

With Centrifugal Force Acting on Ball (F′_c), Force in Link (T₂), Angle of Inclination of Link to Vertical (β) & Angle of Inclination of Arm to Vertical (α) we can find Force in Arm of Porter Governor given Centrifugal Force on Ball using the formula - 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). This formula also uses Sine 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=(Force in Link*cos(Angle of Inclination of Link to Vertical)+Weight of Ball)/cos(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 Centrifugal Force on Ball be negative?

No, the Force in Arm of Porter Governor given Centrifugal Force on Ball, measured in Force cannot be negative.

Which unit is used to measure Force in Arm of Porter Governor given Centrifugal Force on Ball?

Force in Arm of Porter Governor given Centrifugal Force on Ball 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 Centrifugal Force on Ball can be measured.

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

​GoForce in Arm of Porter Governor given Force in Link Formula

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

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

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

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

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

Variable Name

GoForce in Arm of Porter Governor given Force in Link Formula

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