Observed Frequency when Source Moves towards Observer and Observer Moves Away Calculator

✖Wave Frequency is the number of oscillations or cycles of a wave per second, affected by the relative motion of the source and observer.ⓘ Wave Frequency [f_W]			+10% -10%
✖Velocity of Sound is the speed at which sound waves propagate through a medium, affected by the Doppler Effect, resulting in wavelength changes.ⓘ Velocity of Sound [c]			+10% -10%
✖Velocity Observed is the velocity at which the wave is received by the observer, affected by the motion of the source and observer.ⓘ Velocity Observed [V_o]			+10% -10%
✖Velocity of Source is the speed at which the source of a wave is moving relative to an observer, affecting the wavelength of the emitted wave.ⓘ Velocity of Source [V_source]			+10% -10%

✖Frequency Observed is the number of oscillations or cycles of a wave that an observer detects per second due to the Doppler Effect.ⓘ Observed Frequency when Source Moves towards Observer and Observer Moves Away [F_o]

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Formula

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Observed Frequency when Source Moves towards Observer and Observer Moves Away

Formula

F o = (\frac{f W \cdot (c - V o)}{c - V source})

Example

22.67681 Hz = (\frac{200 Hz \cdot (343 m/s - 313.18 m/s)}{343 m/s - 80 m/s})

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Observed Frequency when Source Moves towards Observer and Observer Moves Away Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency Observed = ((Wave Frequency*(Velocity of Sound-Velocity Observed))/(Velocity of Sound-Velocity of Source))
F_o = ((f_W*(c-V_o))/(c-V_source))
This formula uses 5 Variables

Variables Used

Frequency Observed - (Measured in Hertz) - Frequency Observed is the number of oscillations or cycles of a wave that an observer detects per second due to the Doppler Effect.
Wave Frequency - (Measured in Hertz) - Wave Frequency is the number of oscillations or cycles of a wave per second, affected by the relative motion of the source and observer.
Velocity of Sound - (Measured in Meter per Second) - Velocity of Sound is the speed at which sound waves propagate through a medium, affected by the Doppler Effect, resulting in wavelength changes.
Velocity Observed - (Measured in Meter per Second) - Velocity Observed is the velocity at which the wave is received by the observer, affected by the motion of the source and observer.
Velocity of Source - (Measured in Meter per Second) - Velocity of Source is the speed at which the source of a wave is moving relative to an observer, affecting the wavelength of the emitted wave.

STEP 1: Convert Input(s) to Base Unit

Wave Frequency: 200 Hertz --> 200 Hertz No Conversion Required
Velocity of Sound: 343 Meter per Second --> 343 Meter per Second No Conversion Required
Velocity Observed: 313.18 Meter per Second --> 313.18 Meter per Second No Conversion Required
Velocity of Source: 80 Meter per Second --> 80 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_o = ((f_W*(c-V_o))/(c-V_source)) --> ((200*(343-313.18))/(343-80))

Evaluating ... ...

F_o = 22.6768060836502

STEP 3: Convert Result to Output's Unit

22.6768060836502 Hertz --> No Conversion Required

FINAL ANSWER

22.6768060836502 ≈ 22.67681 Hertz <-- Frequency Observed

(Calculation completed in 00.004 seconds)

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Home » Physics » Basic Physics » Optics and Waves » Waves and Sound » Doppler Effect and Wavelength Changes » Doppler Effect » Observed Frequency when Source Moves towards Observer and Observer Moves Away

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< Doppler Effect Calculators

Observed Frequency when Observer and Source Move Away from Each Other

Go Frequency Observed = ((Wave Frequency*(Velocity of Sound-Velocity Observed))/(Velocity of Sound+Velocity of Source))

Observed Frequency when Observer and Source Move towards Each Other

Go Frequency Observed = ((Wave Frequency*(Velocity of Sound+Velocity Observed))/(Velocity of Sound-Velocity of Source))

Observed Frequency when Observer Moves Away from Source

Go Frequency Observed = Wave Frequency*((Velocity of Sound-Velocity Observed)/Velocity of Sound)

Observed Frequency when Observer Moves Away from Source using Wavelength

Go Frequency Observed = (Velocity of Sound-Velocity Observed)/Wavelength

Observed Frequency when Source Moves towards Observer and Observer Moves Away Formula

Frequency Observed = ((Wave Frequency*(Velocity of Sound-Velocity Observed))/(Velocity of Sound-Velocity of Source))
F_o = ((f_W*(c-V_o))/(c-V_source))

What is Doppler Effect?

The Doppler effect (or the Doppler shift) is the change in frequency of a wave in relation to an observer who is moving relative to the wave source. It is named after the Austrian physicist Christian Doppler, who described the phenomenon in 1842.

How to Calculate Observed Frequency when Source Moves towards Observer and Observer Moves Away?

Observed Frequency when Source Moves towards Observer and Observer Moves Away calculator uses Frequency Observed = ((Wave Frequency*(Velocity of Sound-Velocity Observed))/(Velocity of Sound-Velocity of Source)) to calculate the Frequency Observed, Observed Frequency when Source Moves towards Observer and Observer Moves Away formula is defined as a measure of the frequency of a wave that an observer detects when the source of the wave and the observer are moving relative to each other, resulting in a change in the frequency of the wave. Frequency Observed is denoted by F_o symbol.

How to calculate Observed Frequency when Source Moves towards Observer and Observer Moves Away using this online calculator? To use this online calculator for Observed Frequency when Source Moves towards Observer and Observer Moves Away, enter Wave Frequency (f_W), Velocity of Sound (c), Velocity Observed (V_o) & Velocity of Source (V_source) and hit the calculate button. Here is how the Observed Frequency when Source Moves towards Observer and Observer Moves Away calculation can be explained with given input values -> 22.67681 = ((200*(343-313.18))/(343-80)).

FAQ

What is Observed Frequency when Source Moves towards Observer and Observer Moves Away?

Observed Frequency when Source Moves towards Observer and Observer Moves Away formula is defined as a measure of the frequency of a wave that an observer detects when the source of the wave and the observer are moving relative to each other, resulting in a change in the frequency of the wave and is represented as F_o = ((f_W*(c-V_o))/(c-V_source)) or Frequency Observed = ((Wave Frequency*(Velocity of Sound-Velocity Observed))/(Velocity of Sound-Velocity of Source)). Wave Frequency is the number of oscillations or cycles of a wave per second, affected by the relative motion of the source and observer, Velocity of Sound is the speed at which sound waves propagate through a medium, affected by the Doppler Effect, resulting in wavelength changes, Velocity Observed is the velocity at which the wave is received by the observer, affected by the motion of the source and observer & Velocity of Source is the speed at which the source of a wave is moving relative to an observer, affecting the wavelength of the emitted wave.

How to calculate Observed Frequency when Source Moves towards Observer and Observer Moves Away?

Observed Frequency when Source Moves towards Observer and Observer Moves Away formula is defined as a measure of the frequency of a wave that an observer detects when the source of the wave and the observer are moving relative to each other, resulting in a change in the frequency of the wave is calculated using Frequency Observed = ((Wave Frequency*(Velocity of Sound-Velocity Observed))/(Velocity of Sound-Velocity of Source)). To calculate Observed Frequency when Source Moves towards Observer and Observer Moves Away, you need Wave Frequency (f_W), Velocity of Sound (c), Velocity Observed (V_o) & Velocity of Source (V_source). With our tool, you need to enter the respective value for Wave Frequency, Velocity of Sound, Velocity Observed & Velocity of Source and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Frequency Observed?

In this formula, Frequency Observed uses Wave Frequency, Velocity of Sound, Velocity Observed & Velocity of Source. We can use 3 other way(s) to calculate the same, which is/are as follows -

Frequency Observed = ((Wave Frequency*(Velocity of Sound-Velocity Observed))/(Velocity of Sound+Velocity of Source))
Frequency Observed = ((Wave Frequency*(Velocity of Sound+Velocity Observed))/(Velocity of Sound-Velocity of Source))
Frequency Observed = Wave Frequency*((Velocity of Sound-Velocity Observed)/Velocity of Sound)

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