## Intake air density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Air density at intake = Intake air pressure/([R]*Intake air temperature)
ρa = Pa/([R]*Ta)
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324 Joule / Kelvin * Mole
Variables Used
Air density at intake - (Measured in Kilogram per Cubic Meter) - Air density at intake is defined as the density of air recorded at intake manifold at atmospheric pressure and room temperature.
Intake air pressure - (Measured in Pascal) - Intake air pressure is defined as the pressure of the air drawn at intake manifold.
Intake air temperature - (Measured in Kelvin) - Intake air temperature is defined as the temperature of the drawn air at inlet manifold.
STEP 1: Convert Input(s) to Base Unit
Intake air pressure: 150000 Pascal --> 150000 Pascal No Conversion Required
Intake air temperature: 313 Kelvin --> 313 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρa = Pa/([R]*Ta) --> 150000/([R]*313)
Evaluating ... ...
ρa = 57.6385088064182
STEP 3: Convert Result to Output's Unit
57.6385088064182 Kilogram per Cubic Meter --> No Conversion Required
57.6385088064182 Kilogram per Cubic Meter <-- Air density at intake
(Calculation completed in 00.016 seconds)
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## < 10+ For 4 Stroke Engine Calculators

Indicated Power of Four-stroke Engine

## Indicated Power of Four-stroke Engine

Formula
"IP" = ("k"*"MEP"*"L"*"A"*("N"))/(2)

Example
"0.001106kW"=("4"*"0.005kPa"*"8.8cm"*"30cm²"*("4000r/"min""))/(2)

Calculator
LaTeX
Indicated Power = (Number of Cylinders*Mean Effective Pressure*Stroke Length*Area of Cross Section*(Engine Speed))/(2)
Volumetric Efficiency for 4S engines

## Volumetric Efficiency for 4S engines

Formula
"VE" = ((2*"m"_{"af"})/("ρ"_{"a"}*"V"_{"s"}*("N")))*100

Example
"0.00179"=((2*"0.9kg/s")/("1.20kg/cm³"*"200cm³"*("4000r/"min"")))*100

Calculator
LaTeX
Volumetric Efficiency = ((2*Air Mass Flow Rate)/(Intake Air Density*Piston swept volume*(Engine Speed)))*100
Brake Mean Effective Pressure of 4S Engines given Brake power

## Brake Mean Effective Pressure of 4S Engines given Brake power

Formula
"P"_{"mb"} = (2*"BP")/("L"*"A"*("N"))

Example
"0.144686kPa"=(2*"0.008kW")/("8.8cm"*"30cm²"*("4000r/"min""))

Calculator
LaTeX
Brake Mean Effective Pressure = (2*Brake Power)/(Stroke Length*Area of Cross Section*(Engine Speed))
Work done per cycle in ic engine

## Work done per cycle in ic engine

Formula
"W" = ("P"*"n"_{"R"})/"N"

Example
"0.4kJ"=("100kW"*"2")/"500"

Calculator
LaTeX
Work done per cycle in ic engine = (Indicated engine power*Crankshaft revolutions per power stroke)/Engine Speed in rpm
Fuel conversion efficiency

## Fuel conversion efficiency

Formula
"η"_{"f"} = "W"/("m"_{"f"}*"Q"_{"HV"})

Example
"0.4"="100kJ"/("0.005"*"50000kJ/kg")

Calculator
LaTeX
Fuel conversion efficiency = Work done per cycle in ic engine/(Mass of fuel added per cycle*Heating value of the fuel)
Combustion efficiency

## Combustion efficiency

Formula
"η"_{"c"} = "Q"_{"in"}/("m"_{"f"}*"Q"_{"HV"})

Example
"0.6"="150kJ/kg"/("0.005"*"50000kJ/kg")

Calculator
LaTeX
Combustion efficiency = Heat added by combustion per cycle/(Mass of fuel added per cycle*Heating value of the fuel)
Bmep given engine torque

## Bmep given engine torque

Formula
"Bmep" = (2*pi*"T"*"N")/"s"_{"p"}

Example
"81881.16Pa"=(2*pi*"140000N*mm"*"4000r/"min"")/"4.5m/s"

Calculator
LaTeX
Bmep = (2*pi*Engine torque*Engine Speed)/Mean Piston Speed
Thermal efficiency of IC engine

## Thermal efficiency of IC engine

Formula
"η"_{"th"} = "W"/"Q"_{"in"}

Example
"0.666667"="100kJ"/"150kJ/kg"

Calculator
LaTeX
Thermal efficiency of ic engine = Work done per cycle in ic engine/Heat added by combustion per cycle
Fuel conversion efficiency given thermal conversion efficiency

## Fuel conversion efficiency given thermal conversion efficiency

Formula
"η"_{"f"} = "η"_{"c"}*"η"_{"t"}

Example
"0.4"="0.80"*"0.50"

Calculator
LaTeX
Fuel conversion efficiency = Combustion efficiency*Thermal conversion efficiency
Horsepower of engine

## Horsepower of engine

Formula
"HP" = ("T"*"E"_{"rpm"})/5252

Example
"13.95732"=("140000N*mm"*"5000r/"min"")/5252

Calculator
LaTeX
Horsepower of engine = (Engine torque*Engine rpm)/5252

## Intake air density Formula

Air density at intake = Intake air pressure/([R]*Intake air temperature)
ρa = Pa/([R]*Ta)

## What is intake air density?

Intake air density is the density of air recorded at intake manifold at atmospheric pressure and room temperature.

## How to Calculate Intake air density?

Intake air density calculator uses Air density at intake = Intake air pressure/([R]*Intake air temperature) to calculate the Air density at intake, The Intake air density formula is defined as the density of air recorded at intake manifold at atmospheric pressure and room temperature. Air density at intake is denoted by ρa symbol.

How to calculate Intake air density using this online calculator? To use this online calculator for Intake air density, enter Intake air pressure (Pa) & Intake air temperature (Ta) and hit the calculate button. Here is how the Intake air density calculation can be explained with given input values -> 57.63851 = 150000/([R]*313).

### FAQ

What is Intake air density?
The Intake air density formula is defined as the density of air recorded at intake manifold at atmospheric pressure and room temperature and is represented as ρa = Pa/([R]*Ta) or Air density at intake = Intake air pressure/([R]*Intake air temperature). Intake air pressure is defined as the pressure of the air drawn at intake manifold & Intake air temperature is defined as the temperature of the drawn air at inlet manifold.
How to calculate Intake air density?
The Intake air density formula is defined as the density of air recorded at intake manifold at atmospheric pressure and room temperature is calculated using Air density at intake = Intake air pressure/([R]*Intake air temperature). To calculate Intake air density, you need Intake air pressure (Pa) & Intake air temperature (Ta). With our tool, you need to enter the respective value for Intake air pressure & Intake air temperature 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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