Doppler Angular Frequency Calculator

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Radar & Antenna Specifications

Radar Antennas Reception

Special Purpose Radars

✖Doppler frequency refers to the frequency shift that occurs in a wave, such as sound waves, light waves, due to the relative motion between the source of the wave and the observer.ⓘ Doppler Frequency [f_d]

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✖Doppler Angular Frequency refers to the angular frequency shift that occurs in a wave or signal when there is relative motion between the source of the wave and the observer.ⓘ Doppler Angular Frequency [ω_d]

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Formula

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Doppler Angular Frequency

Formula

`"ω"_{"d"} = 2*pi*"f"_{"d"}`

Example

`"64.71681rad/s"=2*pi*"10.3Hz"`

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Download Radar & Antenna Specifications Formulas PDF

Doppler Angular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Doppler Angular Frequency = 2*pi*Doppler Frequency
ω_d = 2*pi*f_d
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Doppler Angular Frequency - (Measured in Radian per Second) - Doppler Angular Frequency refers to the angular frequency shift that occurs in a wave or signal when there is relative motion between the source of the wave and the observer.
Doppler Frequency - (Measured in Hertz) - Doppler frequency refers to the frequency shift that occurs in a wave, such as sound waves, light waves, due to the relative motion between the source of the wave and the observer.

STEP 1: Convert Input(s) to Base Unit

Doppler Frequency: 10.3 Hertz --> 10.3 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_d = 2*pi*f_d --> 2*pi*10.3

Evaluating ... ...

ω_d = 64.7168086639497

STEP 3: Convert Result to Output's Unit

64.7168086639497 Radian per Second --> No Conversion Required

FINAL ANSWER

64.7168086639497 ≈ 64.71681 Radian per Second <-- Doppler Angular Frequency

(Calculation completed in 00.004 seconds)

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Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Doppler Angular Frequency Formula

Doppler Angular Frequency = 2*pi*Doppler Frequency
ω_d = 2*pi*f_d

How do you calculate Doppler frequency?

For example, assume a system operating at a 2 GHz frequency band, with a mobile user traveling at a speed of 120 km/h (33.3 ms/s). Doppler Frequency shift = 2 ⋅ 10 9 ⋅ 33 . 3 / ( 3 ⋅ 10 8 ) = 220 Hz .

How to Calculate Doppler Angular Frequency?

Doppler Angular Frequency calculator uses Doppler Angular Frequency = 2*pi*Doppler Frequency to calculate the Doppler Angular Frequency, The Doppler Angular Frequency formula is defined as the change in frequency of a wave in relation to an observer who is moving relative to the wave source. Doppler Angular Frequency is denoted by ω_d symbol.

How to calculate Doppler Angular Frequency using this online calculator? To use this online calculator for Doppler Angular Frequency, enter Doppler Frequency (f_d) and hit the calculate button. Here is how the Doppler Angular Frequency calculation can be explained with given input values -> 64.71681 = 2*pi*10.3.

FAQ

What is Doppler Angular Frequency?

The Doppler Angular Frequency formula is defined as the change in frequency of a wave in relation to an observer who is moving relative to the wave source and is represented as ω_d = 2*pi*f_d or Doppler Angular Frequency = 2*pi*Doppler Frequency. Doppler frequency refers to the frequency shift that occurs in a wave, such as sound waves, light waves, due to the relative motion between the source of the wave and the observer.

How to calculate Doppler Angular Frequency?

The Doppler Angular Frequency formula is defined as the change in frequency of a wave in relation to an observer who is moving relative to the wave source is calculated using Doppler Angular Frequency = 2*pi*Doppler Frequency. To calculate Doppler Angular Frequency, you need Doppler Frequency (f_d). With our tool, you need to enter the respective value for Doppler Frequency 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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