Frequency of Open Organ Pipe for Nth Overtone Calculator

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✖Number of Nodes is a point along a standing wave where the wave has minimum amplitude confined in a resonator at resonance, bouncing back and forth between two boundaries.ⓘ Number of Nodes [n]			+10% -10%
✖The Velocity of Wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.ⓘ Velocity of Wave [V_w]			+10% -10%
✖Length of organ pipe is the length of the pipe that used in the sound-producing element called organ pipe.ⓘ Length of Organ Pipe [L]			+10% -10%

✖Wave Frequency is number of waves that pass a fixed point in given amount of time. Wave frequency can be measured by counting number of crests of waves that pass the fixed point in given time period.ⓘ Frequency of Open Organ Pipe for Nth Overtone [f_w]

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Formula

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Frequency of Open Organ Pipe for Nth Overtone

Formula

`"f"_{"w"} = ("n"-1)/2*"V"_{"w"}/("L")`

Example

`"40Hz"=("2"-1)/2*"60m/s"/("0.75m")`

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Frequency of Open Organ Pipe for Nth Overtone Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Frequency = (Number of Nodes-1)/2*Velocity of Wave/(Length of Organ Pipe)
f_w = (n-1)/2*V_w/(L)
This formula uses 4 Variables

Variables Used

Wave Frequency - (Measured in Hertz) - Wave Frequency is number of waves that pass a fixed point in given amount of time. Wave frequency can be measured by counting number of crests of waves that pass the fixed point in given time period.
Number of Nodes - Number of Nodes is a point along a standing wave where the wave has minimum amplitude confined in a resonator at resonance, bouncing back and forth between two boundaries.
Velocity of Wave - (Measured in Meter per Second) - The Velocity of Wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.
Length of Organ Pipe - (Measured in Meter) - Length of organ pipe is the length of the pipe that used in the sound-producing element called organ pipe.

STEP 1: Convert Input(s) to Base Unit

Number of Nodes: 2 --> No Conversion Required
Velocity of Wave: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Length of Organ Pipe: 0.75 Meter --> 0.75 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_w = (n-1)/2*V_w/(L) --> (2-1)/2*60/(0.75)

Evaluating ... ...

f_w = 40

STEP 3: Convert Result to Output's Unit

40 Hertz --> No Conversion Required

FINAL ANSWER

40 Hertz <-- Wave Frequency

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 7 Frequency of Organ Pipe Calculators

Frequency of Open Organ Pipe for Nth Overtone

Go Wave Frequency = (Number of Nodes-1)/2*Velocity of Wave/(Length of Organ Pipe)

Frequency of Closed Organ Pipe

Go Wave Frequency = (2*Number of Nodes+1)/4*Velocity of Wave/Length of Organ Pipe

Frequency of Open Organ Pipe

Go Wave Frequency = Number of Nodes/2*Velocity of Wave/Length of Organ Pipe

Frequency of 1st Harmonic Closed Organ Pipe

Go Wave Frequency = 1/4*Velocity of Wave/Length of Organ Pipe

Frequency of 3rd Harmonic Closed Organ Pipe

Go Wave Frequency = 3/4*Velocity of Wave/Length of Organ Pipe

Frequency of 4th Harmonic Open Organ Pipe

Go Wave Frequency = 2*Velocity of Wave/Length of Organ Pipe

Frequency of 2nd Harmonic Open Organ Pipe

Go Wave Frequency = Velocity of Wave/Length of Organ Pipe

Frequency of Open Organ Pipe for Nth Overtone Formula

Wave Frequency = (Number of Nodes-1)/2*Velocity of Wave/(Length of Organ Pipe)
f_w = (n-1)/2*V_w/(L)

What is open organ pipe?

The pipe in which the both of its ends are open is called open organ pipe. Flutes is the example of organ pipe.

How to Calculate Frequency of Open Organ Pipe for Nth Overtone?

Frequency of Open Organ Pipe for Nth Overtone calculator uses Wave Frequency = (Number of Nodes-1)/2*Velocity of Wave/(Length of Organ Pipe) to calculate the Wave Frequency, The Frequency of open organ pipe for nth overtone is the number of oscillations made by the sound wave in one second. The SI Unit of frequency is hertz. Wave Frequency is denoted by f_w symbol.

How to calculate Frequency of Open Organ Pipe for Nth Overtone using this online calculator? To use this online calculator for Frequency of Open Organ Pipe for Nth Overtone, enter Number of Nodes (n), Velocity of Wave (V_w) & Length of Organ Pipe (L) and hit the calculate button. Here is how the Frequency of Open Organ Pipe for Nth Overtone calculation can be explained with given input values -> 40 = (2-1)/2*60/(0.75).

FAQ

What is Frequency of Open Organ Pipe for Nth Overtone?

The Frequency of open organ pipe for nth overtone is the number of oscillations made by the sound wave in one second. The SI Unit of frequency is hertz and is represented as f_w = (n-1)/2*V_w/(L) or Wave Frequency = (Number of Nodes-1)/2*Velocity of Wave/(Length of Organ Pipe). Number of Nodes is a point along a standing wave where the wave has minimum amplitude confined in a resonator at resonance, bouncing back and forth between two boundaries, The Velocity of Wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity & Length of organ pipe is the length of the pipe that used in the sound-producing element called organ pipe.

How to calculate Frequency of Open Organ Pipe for Nth Overtone?

The Frequency of open organ pipe for nth overtone is the number of oscillations made by the sound wave in one second. The SI Unit of frequency is hertz is calculated using Wave Frequency = (Number of Nodes-1)/2*Velocity of Wave/(Length of Organ Pipe). To calculate Frequency of Open Organ Pipe for Nth Overtone, you need Number of Nodes (n), Velocity of Wave (V_w) & Length of Organ Pipe (L). With our tool, you need to enter the respective value for Number of Nodes, Velocity of Wave & Length of Organ Pipe 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 Wave Frequency?

In this formula, Wave Frequency uses Number of Nodes, Velocity of Wave & Length of Organ Pipe. We can use 6 other way(s) to calculate the same, which is/are as follows -

Wave Frequency = (2*Number of Nodes+1)/4*Velocity of Wave/Length of Organ Pipe
Wave Frequency = Number of Nodes/2*Velocity of Wave/Length of Organ Pipe
Wave Frequency = Velocity of Wave/Length of Organ Pipe
Wave Frequency = 2*Velocity of Wave/Length of Organ Pipe
Wave Frequency = 1/4*Velocity of Wave/Length of Organ Pipe
Wave Frequency = 3/4*Velocity of Wave/Length of Organ Pipe

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