Angle between crank and line of dead centres Calculator

✖Ratio of length of connecting rod to crank length is denoted by the symbol n.ⓘ Ratio of length of connecting rod [n]			+10% -10%
✖Inclination of connecting rod with line of stroke is the angle of inclination of the connecting rod with the line of stroke of the piston.ⓘ Inclination of connecting rod with line of stroke [φ]			+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.ⓘ Angle between crank and line of dead centres [θ]

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Formula

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Angle between crank and line of dead centres

Formula

`"θ" = asin("n"*sin("φ"))`

Example

`"30.01263°"=asin("1.86"*sin("15.6°"))`

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Angle between crank and line of dead centres Solution

STEP 0: Pre-Calculation Summary

Formula Used

Crank Angle = asin(Ratio of length of connecting rod*sin(Inclination of connecting rod with line of stroke))
θ = asin(n*sin(φ))
This formula uses 2 Functions, 3 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.
Ratio of length of connecting rod - Ratio of length of connecting rod to crank length is denoted by the symbol n.
Inclination of connecting rod with line of stroke - (Measured in Radian) - Inclination of connecting rod with line of stroke is the angle of inclination of the connecting rod with the line of stroke of the piston.

STEP 1: Convert Input(s) to Base Unit

Ratio of length of connecting rod: 1.86 --> No Conversion Required
Inclination of connecting rod with line of stroke: 15.6 Degree --> 0.272271363311064 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = asin(n*sin(φ)) --> asin(1.86*sin(0.272271363311064))

Evaluating ... ...

θ = 0.523819183094291

STEP 3: Convert Result to Output's Unit

0.523819183094291 Radian -->30.012628419299 Degree (Check conversion here)

FINAL ANSWER

30.012628419299 ≈ 30.01263 Degree <-- Crank Angle

(Calculation completed in 00.020 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Centre Crankshaft » Force on Crank Pin at Angle of Maximum Torque » Angle between crank and line of dead centres

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 8 Force on Crank Pin at Angle of Maximum Torque Calculators

Force on connecting rod given tangential component of force at crankpin

Go Force on Connecting Rod = (Tangential Force at Crank Pin)/(sin(Inclination of connecting rod with line of stroke+Crank Angle))

Tangential component of force at crank pin given force on connecting rod

Go Tangential Force at Crank Pin = Force on Connecting Rod*(sin(Inclination of connecting rod with line of stroke+Crank Angle))

Force on connecting rod given radial component of force at crankpin

Go Force on Connecting Rod = (Radial Force at Crank Pin)/(cos(Inclination of connecting rod with line of stroke+Crank Angle))

Radial component of force at crank pin given force on connecting rod

Go Radial Force at Crank Pin = Force on Connecting Rod*(cos(Inclination of connecting rod with line of stroke+Crank Angle))

Angle between connecting rod and line of dead centres

Go Inclination of connecting rod with line of stroke = asin(sin(Crank Angle)/Ratio of length of connecting rod)

Angle between crank and line of dead centres

Go Crank Angle = asin(Ratio of length of connecting rod*sin(Inclination of connecting rod with line of stroke))

Thrust on connecting rod due to force on piston head

Go Force on Connecting Rod = (Force on Piston Head/cos(Inclination of connecting rod with line of stroke))

Force acting on piston top due to gas pressure given thrust force on connecting rod

Go Force on Piston Head = Force on Connecting Rod*cos(Inclination of connecting rod with line of stroke)

Angle between crank and line of dead centres Formula

Crank Angle = asin(Ratio of length of connecting rod*sin(Inclination of connecting rod with line of stroke))
θ = asin(n*sin(φ))

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 Angle between crank and line of dead centres?

Angle between crank and line of dead centres calculator uses Crank Angle = asin(Ratio of length of connecting rod*sin(Inclination of connecting rod with line of stroke)) to calculate the Crank Angle, The angle between crank and line of dead centres is the angle between the crank and the line of dead centres or the line of travel of the piston. Crank Angle is denoted by θ symbol.

How to calculate Angle between crank and line of dead centres using this online calculator? To use this online calculator for Angle between crank and line of dead centres, enter Ratio of length of connecting rod (n) & Inclination of connecting rod with line of stroke (φ) and hit the calculate button. Here is how the Angle between crank and line of dead centres calculation can be explained with given input values -> 1707.753 = asin(1.86*sin(0.272271363311064)).

FAQ

What is Angle between crank and line of dead centres?

The angle between crank and line of dead centres is the angle between the crank and the line of dead centres or the line of travel of the piston and is represented as θ = asin(n*sin(φ)) or Crank Angle = asin(Ratio of length of connecting rod*sin(Inclination of connecting rod with line of stroke)). Ratio of length of connecting rod to crank length is denoted by the symbol n & Inclination of connecting rod with line of stroke is the angle of inclination of the connecting rod with the line of stroke of the piston.

How to calculate Angle between crank and line of dead centres?

The angle between crank and line of dead centres is the angle between the crank and the line of dead centres or the line of travel of the piston is calculated using Crank Angle = asin(Ratio of length of connecting rod*sin(Inclination of connecting rod with line of stroke)). To calculate Angle between crank and line of dead centres, you need Ratio of length of connecting rod (n) & Inclination of connecting rod with line of stroke (φ). With our tool, you need to enter the respective value for Ratio of length of connecting rod & Inclination of connecting rod with line of stroke 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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