Measured Runtime Solution

STEP 0: Pre-Calculation Summary
Formula Used
Measured Runtime = 2*Target Range/[c]
Trun = 2*Rt/[c]
This formula uses 1 Constants, 2 Variables
Constants Used
[c] - Light speed in vacuum Value Taken As 299792458.0
Variables Used
Measured Runtime - (Measured in Second) - Measured runtime refers to the time taken for an electromagnetic wave to travel from the radar transmitter, reach a target, and then return to the radar receiver after reflecting off the target.
Target Range - (Measured in Meter) - Target Range is defined as the distance from the radar site to the target measured along the line of sight.
STEP 1: Convert Input(s) to Base Unit
Target Range: 289.62 Meter --> 289.62 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Trun = 2*Rt/[c] --> 2*289.62/[c]
Evaluating ... ...
Trun = 1.93213666502578E-06
STEP 3: Convert Result to Output's Unit
1.93213666502578E-06 Second -->1.93213666502578 Microsecond (Check conversion here)
FINAL ANSWER
1.93213666502578 1.932137 Microsecond <-- Measured Runtime
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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24 Radar & Antenna Specifications Calculators

Maximum Range of Radar
Go Target Range = ((Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Minimum Detectable Signal))^0.25
Minimum Detectable Signal
Go Minimum Detectable Signal = (Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Target Range^4)
N Scans
Go N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar))
Transmitted Gain
Go Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2
Transmitted Frequency
Go Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity)
Power Density Radiated by Lossless Antenna
Go Lossless Isotropic Power Density = Maximum Radiated Power Density/Maximum Gain of Antenna
Maximum Power Density Radiated by Antenna
Go Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna
Maximum Gain of Antenna
Go Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density
Target Height
Go Target Height = (Range Resolution*Range)/(2*Antenna Height)
Radar Antenna Height
Go Antenna Height = (Range Resolution*Range)/(2*Target Height)
Probability of Detection
Go Detection Probability of Radar = 1-(1-Cumulative Probability of Detection)^(1/N Scans)
Cumulative Probability of Detection
Go Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans
Antenna Aperture Efficiency
Go Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area
Antenna Area
Go Antenna Area = Effective Area of Receiving Antenna/Antenna Aperture Efficiency
Effective Area of Receiving Antenna
Go Effective Area of Receiving Antenna = Antenna Area*Antenna Aperture Efficiency
Pulse Repetition Frequency
Go Pulse Repetition Frequency = [c]/(2*Maximum Unambiguous Range)
Maximum Unambiguous Range
Go Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2
Pulse Repetition Time
Go Pulse Repetition Time = (2*Maximum Unambiguous Range)/[c]
Target Velocity
Go Target Velocity = (Doppler Frequency Shift*Wavelength)/2
Doppler Frequency
Go Doppler Frequency = Doppler Angular Frequency/(2*pi)
Doppler Angular Frequency
Go Doppler Angular Frequency = 2*pi*Doppler Frequency
Radial Velocity
Go Radial Velocity = (Doppler Frequency*Wavelength)/2
Measured Runtime
Go Measured Runtime = 2*Target Range/[c]
Range of Target
Go Target Range = ([c]*Measured Runtime)/2

Measured Runtime Formula

Measured Runtime = 2*Target Range/[c]
Trun = 2*Rt/[c]

How does radar determine range of a target?

The position of the video voltage in the domain of measured time following the transmitter pulse determines the distance of the target which reflected the energy. In radar, this time is called range.

How to Calculate Measured Runtime?

Measured Runtime calculator uses Measured Runtime = 2*Target Range/[c] to calculate the Measured Runtime, The Measured Runtime formula is defined as the time required by the radar to reach the target and back before detection, or twice the range. Measured Runtime is denoted by Trun symbol.

How to calculate Measured Runtime using this online calculator? To use this online calculator for Measured Runtime, enter Target Range (Rt) and hit the calculate button. Here is how the Measured Runtime calculation can be explained with given input values -> 1.9E+6 = 2*289.62/[c] .

FAQ

What is Measured Runtime?
The Measured Runtime formula is defined as the time required by the radar to reach the target and back before detection, or twice the range and is represented as Trun = 2*Rt/[c] or Measured Runtime = 2*Target Range/[c]. Target Range is defined as the distance from the radar site to the target measured along the line of sight.
How to calculate Measured Runtime?
The Measured Runtime formula is defined as the time required by the radar to reach the target and back before detection, or twice the range is calculated using Measured Runtime = 2*Target Range/[c]. To calculate Measured Runtime, you need Target Range (Rt). With our tool, you need to enter the respective value for Target 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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