Crank Angle Calculator

✖Exhaust Lap is the displacement of the valve from its mid-position at release and compression.ⓘ Exhaust Lap [e]			+10% -10%
✖Eccentricity or Throw of Eccentric is the extent to which the mantle veers from its axis, so it defines the rate at which the material falls through the chamber.ⓘ Eccentricity or Throw of Eccentric [r]			+10% -10%
✖Angle of advance of the eccentric the angle in excess of 90° that a steam-engine valve gear is in advance of the crank.ⓘ Angle of advance of the eccentric [α]			+10% -10%

✖Crank Angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall.ⓘ Crank Angle [θ]

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Formula

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Crank Angle

Formula

`"θ" = asin(-"e"/"r")-"α"`

Example

`"-57.310315°"=asin(-"2mm"/"3mm")-"15.5°"`

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Crank Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Crank Angle = asin(-Exhaust Lap/Eccentricity or Throw of Eccentric)-Angle of advance of the eccentric
θ = asin(-e/r)-α
This formula uses 2 Functions, 4 Variables

Functions Used

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., 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., asin(Number)

Variables Used

Crank Angle - (Measured in Radian) - Crank Angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall.
Exhaust Lap - (Measured in Meter) - Exhaust Lap is the displacement of the valve from its mid-position at release and compression.
Eccentricity or Throw of Eccentric - (Measured in Meter) - Eccentricity or Throw of Eccentric is the extent to which the mantle veers from its axis, so it defines the rate at which the material falls through the chamber.
Angle of advance of the eccentric - (Measured in Radian) - Angle of advance of the eccentric the angle in excess of 90° that a steam-engine valve gear is in advance of the crank.

STEP 1: Convert Input(s) to Base Unit

Exhaust Lap: 2 Millimeter --> 0.002 Meter (Check conversion here)
Eccentricity or Throw of Eccentric: 3 Millimeter --> 0.003 Meter (Check conversion here)
Angle of advance of the eccentric: 15.5 Degree --> 0.27052603405907 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = asin(-e/r)-α --> asin(-0.002/0.003)-0.27052603405907

Evaluating ... ...

θ = -1.00025369028604

STEP 3: Convert Result to Output's Unit

-1.00025369028604 Radian -->-57.3103148957865 Degree (Check conversion here)

FINAL ANSWER

-57.3103148957865 ≈ -57.310315 Degree <-- Crank Angle

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 8 Steam Engine Valves and Reversing Gears Calculators

Displacement of Valve from its Mid-Position

Go Displacement of valve from mid-position = Eccentricity or Throw of Eccentric*sin(Crank Angle+Angle of advance of the eccentric)

Exhaust Lap

Go Exhaust Lap = -Eccentricity or Throw of Eccentric*(sin(Crank Angle+Angle of advance of the eccentric))

Crank Angle

Go Crank Angle = asin(-Exhaust Lap/Eccentricity or Throw of Eccentric)-Angle of advance of the eccentric

Centrifugal Force Acting on Ball for given Mass of Ball

Go Centrifugal Force = (Mass of Ball*Acceleration due to Gravity*Radius of Rotation)/Height of governor

Steam Lap at Admission and Cutoff

Go Steam Lap = Eccentricity or Throw of Eccentric*(sin(Crank Angle+Angle of advance of the eccentric))

Angle of Advance of Eccentric

Go Angle of advance of the eccentric = asin((Steam Lap+Lead)/Eccentric Centre Line)

Centrifugal Force Acting on Ball for given Weight of Ball

Go Centrifugal Force = (Weight of Ball*Radius of Rotation)/Height of governor

Eccentricity or Throw of Eccentric

Go Eccentricity or Throw of Eccentric = (Travel of Valve)/2

Crank Angle Formula

Crank Angle = asin(-Exhaust Lap/Eccentricity or Throw of Eccentric)-Angle of advance of the eccentric
θ = asin(-e/r)-α

What is the function of the crankshaft?

The crankshaft is essentially the backbone of the internal combustion engine. The crankshaft is responsible for the proper operation of the engine and converting a linear motion to a rotational motion.

How to Calculate Crank Angle?

Crank Angle calculator uses Crank Angle = asin(-Exhaust Lap/Eccentricity or Throw of Eccentric)-Angle of advance of the eccentric to calculate the Crank Angle, The crank angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall. Crank Angle is denoted by θ symbol.

How to calculate Crank Angle using this online calculator? To use this online calculator for Crank Angle, enter Exhaust Lap (e), Eccentricity or Throw of Eccentric (r) & Angle of advance of the eccentric (α) and hit the calculate button. Here is how the Crank Angle calculation can be explained with given input values -> -3283.639166 = asin(-0.002/0.003)-0.27052603405907.

FAQ

What is Crank Angle?

The crank angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall and is represented as θ = asin(-e/r)-α or Crank Angle = asin(-Exhaust Lap/Eccentricity or Throw of Eccentric)-Angle of advance of the eccentric. Exhaust Lap is the displacement of the valve from its mid-position at release and compression, Eccentricity or Throw of Eccentric is the extent to which the mantle veers from its axis, so it defines the rate at which the material falls through the chamber & Angle of advance of the eccentric the angle in excess of 90° that a steam-engine valve gear is in advance of the crank.

How to calculate Crank Angle?

The crank angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall is calculated using Crank Angle = asin(-Exhaust Lap/Eccentricity or Throw of Eccentric)-Angle of advance of the eccentric. To calculate Crank Angle, you need Exhaust Lap (e), Eccentricity or Throw of Eccentric (r) & Angle of advance of the eccentric (α). With our tool, you need to enter the respective value for Exhaust Lap, Eccentricity or Throw of Eccentric & Angle of advance of the eccentric and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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