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Preliminary Endurance for Jet Aircraft Formula

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Preliminary Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight. Check FAQs

P E = \frac{LDmax ratio \cdot \ln (\frac{W i}{W f})}{c}

P_E - Preliminary Endurance of Aircraft?LDmax_ratio - Maximum Lift-to-Drag Ratio of Aircraft?W_i - Weight of Aircraft at Beginning of Cruise Phase?W_f - Weight of Aircraft at End of Cruise Phase?c - Power Specific Fuel Consumption?

Preliminary Endurance for Jet Aircraft Example

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Here is how the Preliminary Endurance for Jet Aircraft equation looks like with Values.

Here is how the Preliminary Endurance for Jet Aircraft equation looks like with Units.

Here is how the Preliminary Endurance for Jet Aircraft equation looks like.

45423.0911 = \frac{19.7 \cdot \ln (\frac{514}{350})}{0.6}

45423.0911s = \frac{19.7 \cdot \ln (\frac{514kg}{350kg})}{0.6kg/h/W}

45423.0911 = \frac{19.7 \cdot \ln (\frac{514}{350})}{0.6}

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Preliminary Endurance for Jet Aircraft Solution

Follow our step by step solution on how to calculate Preliminary Endurance for Jet Aircraft?

FIRST Step Consider the formula

P E = \frac{LDmax ratio \cdot \ln (\frac{W i}{W f})}{c}

Next Step Substitute values of Variables

∴

P E = \frac{19.7 \cdot \ln (\frac{514kg}{350kg})}{0.6kg/h/W}

Next Step Convert Units

∴

P E = \frac{19.7 \cdot \ln (\frac{514kg}{350kg})}{0.0002kg/s/W}

Next Step Prepare to Evaluate

∴

P E = \frac{19.7 \cdot \ln (\frac{514}{350})}{0.0002}

Next Step Evaluate

∴

P E = 45423.0911168555s

LAST Step Rounding Answer

∴

P E = 45423.0911s

Preliminary Endurance for Jet Aircraft Formula Elements

Variables

Functions

Preliminary Endurance of Aircraft

Preliminary Endurance of Aircraft is the maximum length of time that an aircraft can spend in cruising flight.

Symbol: P_E

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Preliminary Endurance of Aircraft

Maximum Lift-to-Drag Ratio of Aircraft

Maximum Lift-to-Drag Ratio of Aircraft refers to the highest ratio of lift force to drag force. It represents the optimal balance between lift and drag for maximum efficiency in level flight.

Symbol: LDmax_ratio

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Maximum Lift-to-Drag Ratio of Aircraft

Weight of Aircraft at Beginning of Cruise Phase

Weight of Aircraft at Beginning of Cruise Phase is the weight of the plane just before going to cruise phase of the mission.

Symbol: W_i

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight of Aircraft at Beginning of Cruise Phase

Weight of Aircraft at End of Cruise Phase

Weight of Aircraft at End of Cruise Phase is the weight before the loitering/descent/action phase of the mission plan.

Symbol: W_f

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight of Aircraft at End of Cruise Phase

Power Specific Fuel Consumption

Power Specific Fuel Consumption is a characteristic of the engine and defined as the weight of fuel consumed per unit power per unit time.

Symbol: c

Measurement: Specific Fuel ConsumptionUnit: kg/h/W

Note: Value should be greater than 0.

Formulas to find Power Specific Fuel Consumption

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Preliminary Design category

Go Preliminary Take Off Weight Built-up for Manned Aircraft

DTW = PYL + OEW + FW + W c

Go Fuel Fraction

F f = \frac{FW}{DTW}

Go Preliminary Take off Weight Built-Up for Manned Aircraft given Fuel and Empty Weight Fraction

DTW = \frac{PYL + W c}{1 - F f - E f}

Go Optimum Range for Jet Aircraft in Cruising Phase

R = \frac{V L/D(max) \cdot LDmax ratio}{c} \cdot \ln (\frac{W i}{W f})

How to Evaluate Preliminary Endurance for Jet Aircraft?

Preliminary Endurance for Jet Aircraft evaluator uses Preliminary Endurance of Aircraft = (Maximum Lift-to-Drag Ratio of Aircraft*ln(Weight of Aircraft at Beginning of Cruise Phase/Weight of Aircraft at End of Cruise Phase))/Power Specific Fuel Consumption to evaluate the Preliminary Endurance of Aircraft, The Preliminary Endurance for Jet Aircraft formula gives you the maximum amount of time the jet aircraft can remain in flight on a single fuel load under normal operating conditions, this formula calculates the endurance of the aircraft by multiplying the maximum lift-to-drag ratio by the natural logarithm of the ratio of the aircraft's weight at the beginning and end of the cruising phase, and then dividing by the specific fuel consumption of the engines. Preliminary Endurance of Aircraft is denoted by P_E symbol.

How to evaluate Preliminary Endurance for Jet Aircraft using this online evaluator? To use this online evaluator for Preliminary Endurance for Jet Aircraft, enter Maximum Lift-to-Drag Ratio of Aircraft (LDmax_ratio), Weight of Aircraft at Beginning of Cruise Phase (W_i), Weight of Aircraft at End of Cruise Phase (W_f) & Power Specific Fuel Consumption (c) and hit the calculate button.

FAQs on Preliminary Endurance for Jet Aircraft

What is the formula to find Preliminary Endurance for Jet Aircraft?

The formula of Preliminary Endurance for Jet Aircraft is expressed as Preliminary Endurance of Aircraft = (Maximum Lift-to-Drag Ratio of Aircraft*ln(Weight of Aircraft at Beginning of Cruise Phase/Weight of Aircraft at End of Cruise Phase))/Power Specific Fuel Consumption. Here is an example- 45423.09 = (19.7*ln(514/350))/0.000166666666666667.

How to calculate Preliminary Endurance for Jet Aircraft?

With Maximum Lift-to-Drag Ratio of Aircraft (LDmax_ratio), Weight of Aircraft at Beginning of Cruise Phase (W_i), Weight of Aircraft at End of Cruise Phase (W_f) & Power Specific Fuel Consumption (c) we can find Preliminary Endurance for Jet Aircraft using the formula - Preliminary Endurance of Aircraft = (Maximum Lift-to-Drag Ratio of Aircraft*ln(Weight of Aircraft at Beginning of Cruise Phase/Weight of Aircraft at End of Cruise Phase))/Power Specific Fuel Consumption. This formula also uses Natural Logarithm (ln) function(s).

Can the Preliminary Endurance for Jet Aircraft be negative?

No, the Preliminary Endurance for Jet Aircraft, measured in Time cannot be negative.

Which unit is used to measure Preliminary Endurance for Jet Aircraft?

Preliminary Endurance for Jet Aircraft is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Preliminary Endurance for Jet Aircraft can be measured.

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Preliminary Endurance for Jet Aircraft Formula

Preliminary Endurance for Jet Aircraft Example

Preliminary Endurance for Jet Aircraft Solution

Preliminary Endurance for Jet Aircraft Formula Elements

Other formulas in Preliminary Design category

How to Evaluate Preliminary Endurance for Jet Aircraft?

FAQs on Preliminary Endurance for Jet Aircraft

Variable Name