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Work Output for Otto Cycle Calculator

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Air Standard Cycles Design of IC Engine Components Engine Performance Parameters Fuel Injection in IC Engine

✖Pressure at Start of Isentropic Compression refers to the pressure exerted by the charge inside the wall of the cylinder at the start of the reversible adiabatic compression process in IC engine.ⓘ Pressure at Start of Isentropic Compression [P₁]			+10% -10%
✖Volume at Start of Isentropic Compression is the volume of the engine cylinder before reversible adiabatic process, keeping entropy as constant. It is essentially the swept volume of the cylinder.ⓘ Volume at Start of Isentropic Compression [V₁]			+10% -10%
✖Pressure ratio is the ratio of the maximum pressure during combustion to the minimum pressure at the end of exhaust, reflecting compression and expansion characteristics of the engine cycle.ⓘ Pressure Ratio [r_p]			+10% -10%
✖Compression ratio refers to how much the air-fuel mixture is squeezed in the cylinder before ignition. It's essentially the ratio between the volume of the cylinder at BDC to TDC.ⓘ Compression Ratio [r]			+10% -10%
✖The Heat Capacity Ratio or, adiabatic index quantifies the relationship between heat added at constant pressure and the resulting temperature increase compared to heat added at constant volume.ⓘ Heat Capacity Ratio [γ]			+10% -10%

✖The work output of otto cycle is the net difference between the work done on the gas during compression and the work done by the gas during expansion. It is the area enclosed by p-v diagram.ⓘ Work Output for Otto Cycle [W_o]

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Work Output for Otto Cycle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Output of Otto Cycle = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*((Pressure Ratio-1)*(Compression Ratio^(Heat Capacity Ratio-1)-1))/(Heat Capacity Ratio-1)
W_o = P₁*V₁*((r_p-1)*(r^(γ-1)-1))/(γ-1)
This formula uses 6 Variables

Variables Used

Work Output of Otto Cycle - (Measured in Joule) - The work output of otto cycle is the net difference between the work done on the gas during compression and the work done by the gas during expansion. It is the area enclosed by p-v diagram.
Pressure at Start of Isentropic Compression - (Measured in Pascal) - Pressure at Start of Isentropic Compression refers to the pressure exerted by the charge inside the wall of the cylinder at the start of the reversible adiabatic compression process in IC engine.
Volume at Start of Isentropic Compression - (Measured in Cubic Meter) - Volume at Start of Isentropic Compression is the volume of the engine cylinder before reversible adiabatic process, keeping entropy as constant. It is essentially the swept volume of the cylinder.
Pressure Ratio - Pressure ratio is the ratio of the maximum pressure during combustion to the minimum pressure at the end of exhaust, reflecting compression and expansion characteristics of the engine cycle.
Compression Ratio - Compression ratio refers to how much the air-fuel mixture is squeezed in the cylinder before ignition. It's essentially the ratio between the volume of the cylinder at BDC to TDC.
Heat Capacity Ratio - The Heat Capacity Ratio or, adiabatic index quantifies the relationship between heat added at constant pressure and the resulting temperature increase compared to heat added at constant volume.

STEP 1: Convert Input(s) to Base Unit

Pressure at Start of Isentropic Compression: 110 Kilopascal --> 110000 Pascal (Check conversion here)
Volume at Start of Isentropic Compression: 0.65 Cubic Meter --> 0.65 Cubic Meter No Conversion Required
Pressure Ratio: 3.34 --> No Conversion Required
Compression Ratio: 20 --> No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_o = P₁*V₁*((r_p-1)*(r^(γ-1)-1))/(γ-1) --> 110000*0.65*((3.34-1)*(20^(1.4-1)-1))/(1.4-1)

Evaluating ... ...

W_o = 968078.254102883

STEP 3: Convert Result to Output's Unit

968078.254102883 Joule -->968.078254102883 Kilojoule (Check conversion here)

FINAL ANSWER

968.078254102883 ≈ 968.0783 Kilojoule <-- Work Output of Otto Cycle

(Calculation completed in 00.004 seconds)

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

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< Air Standard Cycles Calculators

Mean Effective Pressure in Dual Cycle

LaTeX Go Mean Effective Pressure of Dual Cycle = Pressure at Start of Isentropic Compression*(Compression Ratio^Heat Capacity Ratio*((Pressure Ratio in Dual Cycle-1)+Heat Capacity Ratio*Pressure Ratio in Dual Cycle*(Cut-off Ratio-1))-Compression Ratio*(Pressure Ratio in Dual Cycle*Cut-off Ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression Ratio-1))

Mean Effective Pressure in Diesel Cycle

LaTeX Go Mean Effective Pressure of Diesel Cycle = Pressure at Start of Isentropic Compression*(Heat Capacity Ratio*Compression Ratio^Heat Capacity Ratio*(Cut-off Ratio-1)-Compression Ratio*(Cut-off Ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression Ratio-1))

Mean Effective Pressure in Otto Cycle

LaTeX Go Mean Effective Pressure of Otto Cycle = Pressure at Start of Isentropic Compression*Compression Ratio*(((Compression Ratio^(Heat Capacity Ratio-1)-1)*(Pressure Ratio-1))/((Compression Ratio-1)*(Heat Capacity Ratio-1)))

Work Output for Otto Cycle

LaTeX Go Work Output of Otto Cycle = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*((Pressure Ratio-1)*(Compression Ratio^(Heat Capacity Ratio-1)-1))/(Heat Capacity Ratio-1)

Work Output for Otto Cycle Formula

LaTeX Go

How petrol engines Works?

Petrol engines use a 4-stroke cycle:
1.Intake: Piston moves down, sucking air (and fuel) into the cylinder through intake valve.

2. Compression: Piston moves up, squeezing the air-fuel mixture for a hotter, more powerful burn.

3. Power: Spark plug ignites the mixture, burning it rapidly. The expanding gas pushes the piston down, creating power.

4. Exhaust: Piston moves up again, pushing out the burnt gases through an open exhaust valve.

The crankshaft converts the piston's up-and-down motion to rotation, powering the car.

How to Calculate Work Output for Otto Cycle?

Work Output for Otto Cycle calculator uses Work Output of Otto Cycle = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*((Pressure Ratio-1)*(Compression Ratio^(Heat Capacity Ratio-1)-1))/(Heat Capacity Ratio-1) to calculate the Work Output of Otto Cycle, Work Output for Otto Cycle refers to the net mechanical work obtained by the petrol engine during the power stroke. This work is calculated as the area enclosed by the pressure-volume (P-V) diagram of the otto cycle. It represents the usable energy extracted from the fuel by the engine. It is a crucial parameter for determining the efficiency of the engine. Work Output of Otto Cycle is denoted by W_o symbol.

How to calculate Work Output for Otto Cycle using this online calculator? To use this online calculator for Work Output for Otto Cycle, enter Pressure at Start of Isentropic Compression (P₁), Volume at Start of Isentropic Compression (V₁), Pressure Ratio (r_p), Compression Ratio (r) & Heat Capacity Ratio (γ) and hit the calculate button. Here is how the Work Output for Otto Cycle calculation can be explained with given input values -> 0.968078 = 110000*0.65*((3.34-1)*(20^(1.4-1)-1))/(1.4-1).

FAQ

What is Work Output for Otto Cycle?

Work Output for Otto Cycle refers to the net mechanical work obtained by the petrol engine during the power stroke. This work is calculated as the area enclosed by the pressure-volume (P-V) diagram of the otto cycle. It represents the usable energy extracted from the fuel by the engine. It is a crucial parameter for determining the efficiency of the engine and is represented as W_o = P₁*V₁*((r_p-1)*(r^(γ-1)-1))/(γ-1) or Work Output of Otto Cycle = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*((Pressure Ratio-1)*(Compression Ratio^(Heat Capacity Ratio-1)-1))/(Heat Capacity Ratio-1). Pressure at Start of Isentropic Compression refers to the pressure exerted by the charge inside the wall of the cylinder at the start of the reversible adiabatic compression process in IC engine, Volume at Start of Isentropic Compression is the volume of the engine cylinder before reversible adiabatic process, keeping entropy as constant. It is essentially the swept volume of the cylinder, Pressure ratio is the ratio of the maximum pressure during combustion to the minimum pressure at the end of exhaust, reflecting compression and expansion characteristics of the engine cycle, Compression ratio refers to how much the air-fuel mixture is squeezed in the cylinder before ignition. It's essentially the ratio between the volume of the cylinder at BDC to TDC & The Heat Capacity Ratio or, adiabatic index quantifies the relationship between heat added at constant pressure and the resulting temperature increase compared to heat added at constant volume.

How to calculate Work Output for Otto Cycle?

Work Output for Otto Cycle refers to the net mechanical work obtained by the petrol engine during the power stroke. This work is calculated as the area enclosed by the pressure-volume (P-V) diagram of the otto cycle. It represents the usable energy extracted from the fuel by the engine. It is a crucial parameter for determining the efficiency of the engine is calculated using Work Output of Otto Cycle = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*((Pressure Ratio-1)*(Compression Ratio^(Heat Capacity Ratio-1)-1))/(Heat Capacity Ratio-1). To calculate Work Output for Otto Cycle, you need Pressure at Start of Isentropic Compression (P₁), Volume at Start of Isentropic Compression (V₁), Pressure Ratio (r_p), Compression Ratio (r) & Heat Capacity Ratio (γ). With our tool, you need to enter the respective value for Pressure at Start of Isentropic Compression, Volume at Start of Isentropic Compression, Pressure Ratio, Compression Ratio & Heat Capacity Ratio 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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