✖Engine Bore is defined as the circular cross section of the engine cylinder and is the radius of the circle of engine cylinder.ⓘ Engine Bore [r]			+10% -10%
✖Stroke Length is the distance travelled by the piston during each cycle.ⓘ Stroke Length [L]			+10% -10%
✖Number of Cylinders is the count of the cylinders that are present on the engine.ⓘ Number of Cylinders [N_c]			+10% -10%

✖Engine Displacement is defined as the volumetric area covered by the piston in one stroke.ⓘ Engine displacement given number of cylinders [E_d]

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Formula

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Engine displacement given number of cylinders

Formula

`"E"_{"d"} = "r"*"r"*"L"*0.7854*"N"_{"c"}`

Example

`"3981.036cm³"="12cm"*"12cm"*"8.8cm"*0.7854*"4"`

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Engine displacement given number of cylinders Solution

STEP 0: Pre-Calculation Summary

Formula Used

Engine Displacement = Engine Bore*Engine Bore*Stroke Length*0.7854*Number of Cylinders
E_d = r*r*L*0.7854*N_c
This formula uses 4 Variables

Variables Used

Engine Displacement - (Measured in Cubic Meter) - Engine Displacement is defined as the volumetric area covered by the piston in one stroke.
Engine Bore - (Measured in Meter) - Engine Bore is defined as the circular cross section of the engine cylinder and is the radius of the circle of engine cylinder.
Stroke Length - (Measured in Meter) - Stroke Length is the distance travelled by the piston during each cycle.
Number of Cylinders - Number of Cylinders is the count of the cylinders that are present on the engine.

STEP 1: Convert Input(s) to Base Unit

Engine Bore: 12 Centimeter --> 0.12 Meter (Check conversion here)
Stroke Length: 8.8 Centimeter --> 0.088 Meter (Check conversion here)
Number of Cylinders: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_d = r*r*L*0.7854*N_c --> 0.12*0.12*0.088*0.7854*4

Evaluating ... ...

E_d = 0.00398103552

STEP 3: Convert Result to Output's Unit

0.00398103552 Cubic Meter -->3981.03552 Cubic Centimeter (Check conversion here)

FINAL ANSWER

3981.03552 ≈ 3981.036 Cubic Centimeter <-- Engine Displacement

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Engine Performance Parameters » Mechanical » Engine Dynamics » Engine displacement given number of cylinders

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Ramaiah University of Applied Sciences (RUAS), bangalore

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< 25 Engine Dynamics Calculators

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Go Overall Heat Transfer Coefficient = 1/((1/Heat Transfer Coefficient on Gas Side)+(Thickness of Engine Wall/Thermal conductivity of material)+(1/Heat Transfer Coefficient on Coolant Side))

Rate of convection heat transfer between engine wall and coolant

Go Rate of Convection Heat Transfer = Convection Heat Transfer Coefficient*Surface Area of Engine Wall*(Engine Wall Surface Temperature-Temperature of Coolant)

Heat transfer across engine wall given overall heat transfer coefficient

Go Heat Transfer across Engine Wall = Overall Heat Transfer Coefficient*Surface Area of Engine Wall*(Gas side temperature-Coolant Side Temperature)

Inlet-Valve Mach Index

Go Mach Index = ((Cylinder Diameter/Inlet Valve Diameter)^2)*((Mean Piston Speed)/(Flow Coefficient*Sonic Velocity))

Brake Power given Mean Effective Pressure

Go Brake Power = (Brake Mean Effective Pressure*Stroke Length*Area of Cross Section*(Engine Speed))

Beale Number

Go Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency)

Engine displacement given number of cylinders

Go Engine Displacement = Engine Bore*Engine Bore*Stroke Length*0.7854*Number of Cylinders

Indicated Thermal Efficiency given Indicated Power

Go Indicated Thermal Efficiency = ((Indicated Power)/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100

Brake Thermal Efficiency given Brake Power

Go Brake Thermal Efficiency = (Brake Power/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100

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Go Rate of Cooling = Constant for Cooling Rate*(Engine Temperature-Engine Surrounding Temperature)

Time taken for engine to cool

Go Time Required to Cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling

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Go Engine RPM = (Speed of Vehicle*Gear Ratio of Transmission*336)/Tire Diameter

Kinetic Energy Stored in Flywheel of IC Engine

Go Kinetic Energy Stored in the Flywheel = (Flywheel Moment of Inertia*(Flywheel Angular Velocity^2))/2

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Go Swept Volume = (((pi/4)*Inner Diameter of Cylinder^2)*Stroke Length)

Indicated specific fuel consumption

Go Indicated Specific Fuel Consumption = Fuel Consumption in IC engine/Indicated Power

Indicated Thermal Efficiency given Relative Efficiency

Go Indicated Thermal Efficiency = (Relative Efficiency*Air Standard Efficiency)/100

Relative Efficiency

Go Relative Efficiency = (Indicated Thermal Efficiency/Air Standard Efficiency)*100

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Go Brake Specific Fuel Consumption = Fuel Consumption in IC engine/Brake Power

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Go Indicated Power = Brake Power/(Mechanical Efficiency/100)

Brake Power given Mechanical Efficiency

Go Brake Power = (Mechanical Efficiency/100)*Indicated Power

Mechanical Efficiency of IC engine

Go Mechanical Efficiency = (Brake Power/Indicated Power)*100

Specific Power Output

Go Specific Power Output = Brake Power/Area of Cross Section

Mean piston speed

Go Mean Piston Speed = 2*Stroke Length*Engine Speed

Friction Power

Go Friction Power = Indicated Power-Brake Power

Peak torque of engine

Go Peak Torque of Engine = Engine Displacement*1.25

< 21 Important Formulas of Engine Dynamics Calculators

Inlet-Valve Mach Index

Go Mach Index = ((Cylinder Diameter/Inlet Valve Diameter)^2)*((Mean Piston Speed)/(Flow Coefficient*Sonic Velocity))

Brake Power given Mean Effective Pressure

Go Brake Power = (Brake Mean Effective Pressure*Stroke Length*Area of Cross Section*(Engine Speed))

Beale Number

Go Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency)

Engine displacement given number of cylinders

Go Engine Displacement = Engine Bore*Engine Bore*Stroke Length*0.7854*Number of Cylinders

Indicated Thermal Efficiency given Indicated Power

Go Indicated Thermal Efficiency = ((Indicated Power)/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100

Brake Thermal Efficiency given Brake Power

Go Brake Thermal Efficiency = (Brake Power/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100

Rate of cooling of engine

Go Rate of Cooling = Constant for Cooling Rate*(Engine Temperature-Engine Surrounding Temperature)

Time taken for engine to cool

Go Time Required to Cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling

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Go Engine RPM = (Speed of Vehicle*Gear Ratio of Transmission*336)/Tire Diameter

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Go Kinetic Energy Stored in the Flywheel = (Flywheel Moment of Inertia*(Flywheel Angular Velocity^2))/2

Swept Volume

Go Swept Volume = (((pi/4)*Inner Diameter of Cylinder^2)*Stroke Length)

Indicated specific fuel consumption

Go Indicated Specific Fuel Consumption = Fuel Consumption in IC engine/Indicated Power

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Go Relative Efficiency = (Indicated Thermal Efficiency/Air Standard Efficiency)*100

Brake specific fuel consumption

Go Brake Specific Fuel Consumption = Fuel Consumption in IC engine/Brake Power

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Go Equivalence Ratio = Actual Air Fuel Ratio/Stoichiometric Air Fuel Ratio

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Go Indicated Power = Brake Power/(Mechanical Efficiency/100)

Brake Power given Mechanical Efficiency

Go Brake Power = (Mechanical Efficiency/100)*Indicated Power

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Go Mechanical Efficiency = (Brake Power/Indicated Power)*100

Specific Power Output

Go Specific Power Output = Brake Power/Area of Cross Section

Mean piston speed

Go Mean Piston Speed = 2*Stroke Length*Engine Speed

Friction Power

Go Friction Power = Indicated Power-Brake Power

Engine displacement given number of cylinders Formula

Engine Displacement = Engine Bore*Engine Bore*Stroke Length*0.7854*Number of Cylinders
E_d = r*r*L*0.7854*N_c

What is Engine Displacement?

Engine Displacement is the measure of the cylinder volume swept by all of the pistons of a piston engine, excluding the combustion chambers. It is commonly used as an expression of an engine's size, and by extension as a loose indicator of the power an engine might be capable of producing and the amount of fuel it should be expected to consume.

How to Calculate Engine displacement given number of cylinders?

Engine displacement given number of cylinders calculator uses Engine Displacement = Engine Bore*Engine Bore*Stroke Length*0.7854*Number of Cylinders to calculate the Engine Displacement, The Engine Displacement given Number of Cylinders formula is defined as the total volumetric area covered by the engine's cylinders in one stroke of piston. Engine Displacement is denoted by E_d symbol.

How to calculate Engine displacement given number of cylinders using this online calculator? To use this online calculator for Engine displacement given number of cylinders, enter Engine Bore (r), Stroke Length (L) & Number of Cylinders (N_c) and hit the calculate button. Here is how the Engine displacement given number of cylinders calculation can be explained with given input values -> 4E+9 = 0.12*0.12*0.088*0.7854*4.

FAQ

What is Engine displacement given number of cylinders?

The Engine Displacement given Number of Cylinders formula is defined as the total volumetric area covered by the engine's cylinders in one stroke of piston and is represented as E_d = r*r*L*0.7854*N_c or Engine Displacement = Engine Bore*Engine Bore*Stroke Length*0.7854*Number of Cylinders. Engine Bore is defined as the circular cross section of the engine cylinder and is the radius of the circle of engine cylinder, Stroke Length is the distance travelled by the piston during each cycle & Number of Cylinders is the count of the cylinders that are present on the engine.

How to calculate Engine displacement given number of cylinders?

The Engine Displacement given Number of Cylinders formula is defined as the total volumetric area covered by the engine's cylinders in one stroke of piston is calculated using Engine Displacement = Engine Bore*Engine Bore*Stroke Length*0.7854*Number of Cylinders. To calculate Engine displacement given number of cylinders, you need Engine Bore (r), Stroke Length (L) & Number of Cylinders (N_c). With our tool, you need to enter the respective value for Engine Bore, Stroke Length & Number of Cylinders 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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