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Angle of Advance of Eccentric Formula

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Angle of advance of the eccentric the angle in excess of 90° that a steam-engine valve gear is in advance of the crank. Check FAQs

α = a \sin (\frac{s + l}{OE})

α - Angle of Advance of the Eccentric?s - Steam Lap?l - Lead?OE - Eccentric Centre Line?

Angle of Advance of Eccentric Example

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Here is how the Angle of Advance of Eccentric equation looks like with Values.

Here is how the Angle of Advance of Eccentric equation looks like with Units.

Here is how the Angle of Advance of Eccentric equation looks like.

32.3924 = a \sin (\frac{2.7 + 4.8}{14})

32.3924° = a \sin (\frac{2.7mm + 4.8mm}{14mm})

32.3924 = a \sin (\frac{2.7 + 4.8}{14})

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Angle of Advance of Eccentric Solution

Follow our step by step solution on how to calculate Angle of Advance of Eccentric?

FIRST Step Consider the formula

α = a \sin (\frac{s + l}{OE})

Next Step Substitute values of Variables

∴

α = a \sin (\frac{2.7mm + 4.8mm}{14mm})

Next Step Convert Units

∴

α = a \sin (\frac{0.0027m + 0.0048m}{0.014m})

Next Step Prepare to Evaluate

∴

α = a \sin (\frac{0.0027 + 0.0048}{0.014})

Next Step Evaluate

∴

α = 0.565353430237333rad

Next Step Convert to Output's Unit

∴

α = 32.3923654858491°

LAST Step Rounding Answer

∴

α = 32.3924°

Angle of Advance of Eccentric Formula Elements

Variables

Functions

Angle of Advance of the Eccentric

Angle of advance of the eccentric the angle in excess of 90° that a steam-engine valve gear is in advance of the crank.

Symbol: α

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Advance of the Eccentric

Steam Lap

Steam Lap is the amount (or distance) that the steam side of the valve overlaps the port.

Symbol: s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Steam Lap

Lead

Lead is the displacement of the D-slide valve is greater than the steam lap (s) by a distance l.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Lead

Eccentric Centre Line

Eccentric Centre Line is off-center and show the details of where the lines intersect.

Symbol: OE

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Eccentric Centre Line

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Steam Engine Valves and Reversing Gears category

Go Crank Angle

θ = a \sin (- \frac{e}{r}) - α

Go Eccentricity or Throw of Eccentric

r = \frac{t}{2}

Go Steam Lap at Admission and Cutoff

s = r \cdot (\sin (θ + α))

Go Displacement of Valve from its Mid-Position

x = r \cdot \sin (θ + α)

How to Evaluate Angle of Advance of Eccentric?

Angle of Advance of Eccentric evaluator uses Angle of Advance of the Eccentric = asin((Steam Lap+Lead)/Eccentric Centre Line) to evaluate the Angle of Advance of the Eccentric, Angle of Advance of Eccentric formula is defined as the angular distance ahead of the crankpin at which the valve begins to open, measured from the inner dead center position, and is a critical parameter in the design and operation of steam engine valves and reversing gears. Angle of Advance of the Eccentric is denoted by α symbol.

How to evaluate Angle of Advance of Eccentric using this online evaluator? To use this online evaluator for Angle of Advance of Eccentric, enter Steam Lap (s), Lead (l) & Eccentric Centre Line (OE) and hit the calculate button.

FAQs on Angle of Advance of Eccentric

What is the formula to find Angle of Advance of Eccentric?

The formula of Angle of Advance of Eccentric is expressed as Angle of Advance of the Eccentric = asin((Steam Lap+Lead)/Eccentric Centre Line). Here is an example- 1855.946 = asin((0.0027+0.0048)/0.014).

How to calculate Angle of Advance of Eccentric?

With Steam Lap (s), Lead (l) & Eccentric Centre Line (OE) we can find Angle of Advance of Eccentric using the formula - Angle of Advance of the Eccentric = asin((Steam Lap+Lead)/Eccentric Centre Line). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

Can the Angle of Advance of Eccentric be negative?

Yes, the Angle of Advance of Eccentric, measured in Angle can be negative.

Which unit is used to measure Angle of Advance of Eccentric?

Angle of Advance of Eccentric is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Advance of Eccentric can be measured.

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Angle of Advance of Eccentric Formula

Angle of Advance of Eccentric Example

Angle of Advance of Eccentric Solution

Angle of Advance of Eccentric Formula Elements

Other formulas in Steam Engine Valves and Reversing Gears category

How to Evaluate Angle of Advance of Eccentric?

FAQs on Angle of Advance of Eccentric

Variable Name