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Maximum Unambiguous Range Formula

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Maximum Unambiguous Range is the range beyond which the target appears as second-time-around-echoes is the maximum unambiguous range. Check FAQs

R un = \frac{[c] \cdot T pulse}{2}

R_un - Maximum Unambiguous Range?T_pulse - Pulse Repetition Time?[c] - Light speed in vacuum?

Maximum Unambiguous Range Example

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Here is how the Maximum Unambiguous Range equation looks like with Values.

Here is how the Maximum Unambiguous Range equation looks like with Units.

Here is how the Maximum Unambiguous Range equation looks like.

8.7899 = \frac{3E+8 \cdot 58.64}{2}

8.7899km = \frac{3E+8m/s \cdot 58.64μs}{2}

8.7899 = \frac{3E+8 \cdot 58.64}{2}

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Maximum Unambiguous Range Solution

Follow our step by step solution on how to calculate Maximum Unambiguous Range?

FIRST Step Consider the formula

R un = \frac{[c] \cdot T pulse}{2}

Next Step Substitute values of Variables

∴

R un = \frac{[c] \cdot 58.64μs}{2}

Next Step Substitute values of Constants

∴

R un = \frac{3E+8m/s \cdot 58.64μs}{2}

Next Step Convert Units

∴

R un = \frac{3E+8m/s \cdot 5.9E-5s}{2}

Next Step Prepare to Evaluate

∴

R un = \frac{3E+8 \cdot 5.9E-5}{2}

Next Step Evaluate

∴

R un = 8789.91486856m

Next Step Convert to Output's Unit

∴

R un = 8.78991486856km

LAST Step Rounding Answer

∴

R un = 8.7899km

Maximum Unambiguous Range Formula Elements

Variables

Constants

Maximum Unambiguous Range

Maximum Unambiguous Range is the range beyond which the target appears as second-time-around-echoes is the maximum unambiguous range.

Symbol: R_un

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Maximum Unambiguous Range

Pulse Repetition Time

Pulse Repetition Time refers to the time duration during which a radar transmitter emits a single pulse of electromagnetic energy as it is the period from the start to the end of pulse.

Symbol: T_pulse

Measurement: TimeUnit: μs

Note: Value should be greater than 0.

Formulas to find Pulse Repetition Time

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

Other formulas in Radar and Antenna Specifications category

Go Range of Target

R t = \frac{[c] \cdot T run}{2}

Go Measured Runtime

T run = 2 \cdot \frac{R t}{[c]}

Go Pulse Repetition Time

T pulse = \frac{2 \cdot R un}{[c]}

Go Pulse Repetition Frequency

f rep = \frac{[c]}{2 \cdot R un}

How to Evaluate Maximum Unambiguous Range?

Maximum Unambiguous Range evaluator uses Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2 to evaluate the Maximum Unambiguous Range, The Maximum Unambiguous Range formula is defined as the range beyond which the target appears as second-time-around-echoes is the maximum unambiguous range, Run. Maximum Unambiguous Range is denoted by R_un symbol.

How to evaluate Maximum Unambiguous Range using this online evaluator? To use this online evaluator for Maximum Unambiguous Range, enter Pulse Repetition Time (T_pulse) and hit the calculate button.

FAQs on Maximum Unambiguous Range

What is the formula to find Maximum Unambiguous Range?

The formula of Maximum Unambiguous Range is expressed as Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2. Here is an example- 8789.915 = ([c]*5.864E-05)/2.

How to calculate Maximum Unambiguous Range?

With Pulse Repetition Time (T_pulse) we can find Maximum Unambiguous Range using the formula - Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2. This formula also uses Light speed in vacuum constant(s).

Can the Maximum Unambiguous Range be negative?

No, the Maximum Unambiguous Range, measured in Length cannot be negative.

Which unit is used to measure Maximum Unambiguous Range?

Maximum Unambiguous Range is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Maximum Unambiguous Range can be measured.

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