## Bmep given engine torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bmep = (2*pi*Engine torque*Engine Speed)/Mean Piston Speed
Bmep = (2*pi*T*N)/sp
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Bmep - (Measured in Pascal) - Bmep is defined as the average pressure which, if imposed on the pistons uniformly from the top to the bottom of each power stroke, would produce the measured power output.
Engine torque - (Measured in Newton Meter) - Engine torque is defined as a rotating force produced by a engine's crankshaft due to power developed during power stroke in IC engine.
Engine Speed - (Measured in Radian per Second) - Engine Speed is the speed at which the crankshaft of the engine rotates.
Mean Piston Speed - (Measured in Meter per Second) - Mean Piston Speed is the average speed of the piston over one engine revolution.
STEP 1: Convert Input(s) to Base Unit
Engine torque: 140000 Newton Millimeter --> 140 Newton Meter (Check conversion here)
Engine Speed: 4000 Revolution per Minute --> 418.879020457308 Radian per Second (Check conversion here)
Mean Piston Speed: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Bmep = (2*pi*T*N)/sp --> (2*pi*140*418.879020457308)/4.5
Evaluating ... ...
Bmep = 81881.1624344975
STEP 3: Convert Result to Output's Unit
81881.1624344975 Pascal --> No Conversion Required
81881.1624344975 Pascal <-- Bmep
(Calculation completed in 00.031 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

## Bmep given engine torque Formula

Bmep = (2*pi*Engine torque*Engine Speed)/Mean Piston Speed
Bmep = (2*pi*T*N)/sp

## What is the brake mean effective pressure?

Bmep is the average (mean) pressure which, if imposed on the pistons uniformly from the top to the bottom of each power stroke, would produce the measured (brake) power output. Brake Mean Effective Pressure (BMEP) is another very effective yardstick for comparing the performance of an engine of a given type to another of the same type, and for evaluating the reasonableness of performance claims or requirements.

## How to Calculate Bmep given engine torque?

Bmep given engine torque calculator uses Bmep = (2*pi*Engine torque*Engine Speed)/Mean Piston Speed to calculate the Bmep, The Bmep given engine torque formula is defined as the average pressure which, if imposed on the pistons uniformly from the top to the bottom of each power stroke, would produce the measured power output. Bmep is denoted by Bmep symbol.

How to calculate Bmep given engine torque using this online calculator? To use this online calculator for Bmep given engine torque, enter Engine torque (T), Engine Speed (N) & Mean Piston Speed (sp) and hit the calculate button. Here is how the Bmep given engine torque calculation can be explained with given input values -> 81881.16 = (2*pi*140*418.879020457308)/4.5.

### FAQ

What is Bmep given engine torque?
The Bmep given engine torque formula is defined as the average pressure which, if imposed on the pistons uniformly from the top to the bottom of each power stroke, would produce the measured power output and is represented as Bmep = (2*pi*T*N)/sp or Bmep = (2*pi*Engine torque*Engine Speed)/Mean Piston Speed. Engine torque is defined as a rotating force produced by a engine's crankshaft due to power developed during power stroke in IC engine, Engine Speed is the speed at which the crankshaft of the engine rotates & Mean Piston Speed is the average speed of the piston over one engine revolution.
How to calculate Bmep given engine torque?
The Bmep given engine torque formula is defined as the average pressure which, if imposed on the pistons uniformly from the top to the bottom of each power stroke, would produce the measured power output is calculated using Bmep = (2*pi*Engine torque*Engine Speed)/Mean Piston Speed. To calculate Bmep given engine torque, you need Engine torque (T), Engine Speed (N) & Mean Piston Speed (sp). With our tool, you need to enter the respective value for Engine torque, Engine Speed & Mean Piston Speed 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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