✖Mechanical Efficiency (in %) is the ratio of the power delivered by a mechanical system to the power supplied to it.ⓘ Mechanical Efficiency [η_m]			+10% -10%
✖Indicated Power is the total power produced due to combustion of fuel within the IC engine's cylinder in one complete cycle neglecting any losses.ⓘ Indicated Power [IP]			+10% -10%

✖Brake Power is the power available at the crankshaft.ⓘ Brake Power given Mechanical Efficiency [BP]

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Formula

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Brake Power given Mechanical Efficiency

Formula

`"BP" = ("η"_{"m"}/100)*"IP"`

Example

`"0.54kW"=("60"/100)*"0.9kW"`

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Brake Power given Mechanical Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Brake Power = (Mechanical Efficiency/100)*Indicated Power
BP = (η_m/100)*IP
This formula uses 3 Variables

Variables Used

Brake Power - (Measured in Watt) - Brake Power is the power available at the crankshaft.
Mechanical Efficiency - Mechanical Efficiency (in %) is the ratio of the power delivered by a mechanical system to the power supplied to it.
Indicated Power - (Measured in Watt) - Indicated Power is the total power produced due to combustion of fuel within the IC engine's cylinder in one complete cycle neglecting any losses.

STEP 1: Convert Input(s) to Base Unit

Mechanical Efficiency: 60 --> No Conversion Required
Indicated Power: 0.9 Kilowatt --> 900 Watt (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BP = (η_m/100)*IP --> (60/100)*900

Evaluating ... ...

BP = 540

STEP 3: Convert Result to Output's Unit

540 Watt -->0.54 Kilowatt (Check conversion here)

FINAL ANSWER

0.54 Kilowatt <-- Brake Power

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Engine Performance Parameters » Mechanical » Engine Dynamics » Brake Power given Mechanical Efficiency

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Created by Aditya Prakash Gautam

Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand

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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

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

Engine rpm

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

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

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

Brake specific fuel consumption

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

Indicated Power given Mechanical Efficiency

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

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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

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

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

Equivalence ratio

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

Indicated Power given Mechanical Efficiency

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

Brake Power given Mechanical Efficiency Formula

Brake Power = (Mechanical Efficiency/100)*Indicated Power
BP = (η_m/100)*IP

What factors affect Mechanical Efficiency?

Mechanical efficiency is the ratio of brake power (delivered power) to the indicated power (power provided to the piston). Factors affecting mechanical efficiency includes lubrication (tribology), vibration, lost motion, dry friction, fluid viscosity, heat insulation, cooling measures, corrosion.

How to Calculate Brake Power given Mechanical Efficiency?

Brake Power given Mechanical Efficiency calculator uses Brake Power = (Mechanical Efficiency/100)*Indicated Power to calculate the Brake Power, The Brake Power given Mechanical Efficiency formula is defined as the product of mechanical efficiency and indicated power of an IC engine. Brake Power is denoted by BP symbol.

How to calculate Brake Power given Mechanical Efficiency using this online calculator? To use this online calculator for Brake Power given Mechanical Efficiency, enter Mechanical Efficiency (η_m) & Indicated Power (IP) and hit the calculate button. Here is how the Brake Power given Mechanical Efficiency calculation can be explained with given input values -> 6E-5 = (60/100)*900.

FAQ

What is Brake Power given Mechanical Efficiency?

The Brake Power given Mechanical Efficiency formula is defined as the product of mechanical efficiency and indicated power of an IC engine and is represented as BP = (η_m/100)*IP or Brake Power = (Mechanical Efficiency/100)*Indicated Power. Mechanical Efficiency (in %) is the ratio of the power delivered by a mechanical system to the power supplied to it & Indicated Power is the total power produced due to combustion of fuel within the IC engine's cylinder in one complete cycle neglecting any losses.

How to calculate Brake Power given Mechanical Efficiency?

The Brake Power given Mechanical Efficiency formula is defined as the product of mechanical efficiency and indicated power of an IC engine is calculated using Brake Power = (Mechanical Efficiency/100)*Indicated Power. To calculate Brake Power given Mechanical Efficiency, you need Mechanical Efficiency (η_m) & Indicated Power (IP). With our tool, you need to enter the respective value for Mechanical Efficiency & Indicated Power and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Brake Power?

In this formula, Brake Power uses Mechanical Efficiency & Indicated Power. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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