Doppler Shift Velocity Calculator

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Doppler Shift Velocity Calculator:

Enter the values of  wave speed, c(m/s), change in frequency, ∆f(Hz) and source of frequency, fS(Hz) to determine the value of doppler shift velocity, VO(m/s).

Enter Wave Speed: m/s
Enter Change in Frequency : Hz
Enter Source of Frequency : Hz
   
Result – Doppler Shift Velocity: m/s

Doppler Shift Velocity Formula:

Doppler shift velocity refers to the velocity of an object as calculated by analyzing the changes in frequency of waves (like sound or light) due to the Doppler effect.

This effect occurs when there is relative motion between a wave source and an observer, causing the frequency observed to differ from the frequency emitted by the source. This shift is pivotal in various scientific and practical applications including radar detection, astronomical measurements, and medical imaging.

  1. Doppler Effect: A physical phenomenon where the frequency of a wave changes based on the relative motion between the source and the observer.
  2. Key in Velocity Measurement: It is crucial for determining the speed at which objects move toward or away from an observer.
  3. Applications in Radar: Utilized in radar technology to measure the speed of detected objects by observing changes in the frequency of returned radar waves.
  4. Astronomical Observations: Allows astronomers to measure the velocity of stars and galaxies, helping infer their motion relative to Earth.

Doppler shift velocity, VO(m/s) in metres per seconds is calculated by dividing the product of wave speed, c(m/s) in metres per seconds and change in frequency, ∆f(Hz) in Hertz and divided by source of frequency, fS(Hz) in Hertz.

Doppler shift velocity, VO(m/s) = c(m/s) * ∆f(Hz) / fS(Hz)

VO(m/s) = doppler shift velocity in metres per seconds, m/s.

c(m/s) = wave speed in metres per seoncds, m/s.

∆f(Hz) = change in frequency in Hertz, Hz.

fS(Hz) = source of frequency in Hertz, Hz.

Doppler Shift Velocity Calculation:

1.Calculate the velocity of a galaxy moving away from Earth if the observed change in frequency of a spectral line is 0.1 GHz (gigahertz) and the source frequency is 5 GHz, given the speed of light is approximately 3*108metres per second.

Given: ∆f(Hz) = 0.1GHz, fS(Hz) = 5GHz, c(m/s) = 3 * 108.

Doppler shift velocity, VO(m/s) = c(m/s) * ∆f(Hz) / fS(Hz)              

VO(m/s) = 3 * 108 * 0.1 * 109 / 5 * 109

VO(m/s) = 3 * 108 * 0.02

VO(m/s) = 6 * 106m/s.

2.A weather radar detects a change in frequency of 300 Hz from a storm moving towards it, with Doppler shift velocity of 90,000m/s.Calculate the velocity of the storm.

Given: ∆f(Hz) = 0.1GHz, VO(m/s) = 90,000m/s, c(m/s) = 3 * 108.

Doppler shift velocity, VO(m/s) = c(m/s) * ∆f(Hz) / fS(Hz)              

fS(Hz) = c(m/s) * ∆f(Hz) / VO(m/s)

fS(Hz) = 3 * 108 * 300 / 90,000

fS(Hz) = 1GHz.

 

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