Harmonic Range given Range Increment Solution

STEP 0: Pre-Calculation Summary
Formula Used
Harmonic Range = Range Increment of Aircraft+Design Range
RH = ΔR+RD
This formula uses 3 Variables
Variables Used
Harmonic Range - (Measured in Meter) - Harmonic Range is point that the aircraft is most structurally efficient in terms of payload carriage, and represents the maximum range for the maximum payload.
Range Increment of Aircraft - (Measured in Meter) - Range Increment of Aircraft refers to the increase in the aircraft's range, typically resulting from modifications or improvements to its design, propulsion system, or operational parameters.
Design Range - (Measured in Meter) - Design Range RD is the distance achievable when taking off with the maximum take-off weight.
STEP 1: Convert Input(s) to Base Unit
Range Increment of Aircraft: 71 Kilometer --> 71000 Meter (Check conversion ​here)
Design Range: 52 Kilometer --> 52000 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RH = ΔR+RD --> 71000+52000
Evaluating ... ...
RH = 123000
STEP 3: Convert Result to Output's Unit
123000 Meter -->123 Kilometer (Check conversion ​here)
FINAL ANSWER
123 Kilometer <-- Harmonic Range
(Calculation completed in 00.004 seconds)

Credits

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Created by Himanshu Sharma
National Institute of Technology, Hamirpur (NITH), Himachal Pradesh
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Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
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Preliminary Design Calculators

Optimum Range for Jet Aircraft in Cruising Phase
​ LaTeX ​ Go Range of Aircraft = (Velocity at Maximum Lift to Drag Ratio*Maximum Lift-to-Drag Ratio of Aircraft)/Power Specific Fuel Consumption*ln(Weight of Aircraft at Beginning of Cruise Phase/Weight of Aircraft at End of Cruise Phase)
Preliminary Take Off Weight Built-up for Manned Aircraft
​ LaTeX ​ Go Desired Takeoff Weight = Payload Carried+Operating Empty Weight+Fuel Weight to be Carried+Crew Weight
Preliminary Take off Weight Built-Up for Manned Aircraft given Fuel and Empty Weight Fraction
​ LaTeX ​ Go Desired Takeoff Weight = (Payload Carried+Crew Weight)/(1-Fuel Fraction-Empty Weight Fraction)
Fuel Fraction
​ LaTeX ​ Go Fuel Fraction = Fuel Weight to be Carried/Desired Takeoff Weight

Harmonic Range given Range Increment Formula

​LaTeX ​Go
Harmonic Range = Range Increment of Aircraft+Design Range
RH = ΔR+RD

What is Harmonic range?

This point is sometimes called the “Harmonic Range” of the airplane.. It is at this point that the aircraft is most structurally efficient in terms of payload carriage, and “represents the maximum range for the maximum payload”

How to Calculate Harmonic Range given Range Increment?

Harmonic Range given Range Increment calculator uses Harmonic Range = Range Increment of Aircraft+Design Range to calculate the Harmonic Range, The Harmonic Range given Range Increment refers to the maximum distance it can travel on a single fuel load while maintaining a constant speed, to calculate the harmonic range given the range increment, additional information about the aircraft's fuel capacity, fuel consumption rate, and other factors is needed. Harmonic Range is denoted by RH symbol.

How to calculate Harmonic Range given Range Increment using this online calculator? To use this online calculator for Harmonic Range given Range Increment, enter Range Increment of Aircraft (ΔR) & Design Range (RD) and hit the calculate button. Here is how the Harmonic Range given Range Increment calculation can be explained with given input values -> 2.185 = 71000+52000.

FAQ

What is Harmonic Range given Range Increment?
The Harmonic Range given Range Increment refers to the maximum distance it can travel on a single fuel load while maintaining a constant speed, to calculate the harmonic range given the range increment, additional information about the aircraft's fuel capacity, fuel consumption rate, and other factors is needed and is represented as RH = ΔR+RD or Harmonic Range = Range Increment of Aircraft+Design Range. Range Increment of Aircraft refers to the increase in the aircraft's range, typically resulting from modifications or improvements to its design, propulsion system, or operational parameters & Design Range RD is the distance achievable when taking off with the maximum take-off weight.
How to calculate Harmonic Range given Range Increment?
The Harmonic Range given Range Increment refers to the maximum distance it can travel on a single fuel load while maintaining a constant speed, to calculate the harmonic range given the range increment, additional information about the aircraft's fuel capacity, fuel consumption rate, and other factors is needed is calculated using Harmonic Range = Range Increment of Aircraft+Design Range. To calculate Harmonic Range given Range Increment, you need Range Increment of Aircraft (ΔR) & Design Range (RD). With our tool, you need to enter the respective value for Range Increment of Aircraft & Design Range 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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