Length of Open Organ Pipe 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%
✖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.ⓘ Wave Frequency [f_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 Open Organ Pipe [L]

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Formula

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Length of Open Organ Pipe

Formula

`"L" = "n"/2*"V"_{"w"}/"f"_{"w"}`

Example

`"0.666667m"="2"/2*"60m/s"/"90Hz"`

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Length of Open Organ Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Wave Frequency: 90 Hertz --> 90 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = n/2*V_w/f_w --> 2/2*60/90

Evaluating ... ...

L = 0.666666666666667

STEP 3: Convert Result to Output's Unit

0.666666666666667 Meter --> No Conversion Required

FINAL ANSWER

0.666666666666667 ≈ 0.666667 Meter <-- Length of Organ Pipe

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 16 Waves And Sound Calculators

Length of Open Organ Pipe

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

Loudness

Go Loudness = 10*log10(Sound Intensity/Reference Intensity)

Velocity of Sound in Liquid

Go Velocity of Wave = sqrt(Bulk Modulus/Density)

Velocity of Sound in Solids

Go Velocity of Wave = sqrt(Elasticity/Density)

Mass per Unit Length of String

Go Mass per Unit Length = Tension of String/(Velocity of Wave^2)

Time Period given Velocity

Go Time Period of Progressive Wave = Wavelength/Velocity of Wave

Time Period using Angular Frequency

Go Time Period of Progressive Wave = (2*pi)/Angular Frequency

Tension in String

Go Tension of String = Velocity of Wave^2*Mass per Unit Length

Length of Closed Organ Pipe

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

Wave Number using Angular Frequency

Go Wave Number = Angular Frequency/Velocity of Wave

Frequency of Wavelength using Velocity

Go Wave Frequency = Velocity of Wave/Wavelength

Frequency of Progressive Wave

Go Wave Frequency = Angular Frequency/(2*pi)

Intensity of Sound

Go Sound Intensity = Power/Normal Area

Wave Number

Go Wave Number = (2*pi)/Wavelength

Frequency of Wave using Time Period

Go Wave Frequency = 1/Time Period of Progressive Wave

Time Period using Frequency

Go Time Period of Progressive Wave = 1/Wave Frequency

Length of Open Organ Pipe Formula

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

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 Length of Open Organ Pipe?

Length of Open Organ Pipe calculator uses Length of Organ Pipe = Number of Nodes/2*Velocity of Wave/Wave Frequency to calculate the Length of Organ Pipe, Length of Open Organ Pipe is the length of the pipe that is open from both sides. SI Unit of length is meter. Length of Organ Pipe is denoted by L symbol.

How to calculate Length of Open Organ Pipe using this online calculator? To use this online calculator for Length of Open Organ Pipe, enter Number of Nodes (n), Velocity of Wave (V_w) & Wave Frequency (f_w) and hit the calculate button. Here is how the Length of Open Organ Pipe calculation can be explained with given input values -> 0.666667 = 2/2*60/90.

FAQ

What is Length of Open Organ Pipe?

Length of Open Organ Pipe is the length of the pipe that is open from both sides. SI Unit of length is meter and is represented as L = n/2*V_w/f_w or Length of Organ Pipe = Number of Nodes/2*Velocity of Wave/Wave Frequency. 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 & 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.

How to calculate Length of Open Organ Pipe?

Length of Open Organ Pipe is the length of the pipe that is open from both sides. SI Unit of length is meter is calculated using Length of Organ Pipe = Number of Nodes/2*Velocity of Wave/Wave Frequency. To calculate Length of Open Organ Pipe, you need Number of Nodes (n), Velocity of Wave (V_w) & Wave Frequency (f_w). With our tool, you need to enter the respective value for Number of Nodes, Velocity of Wave & Wave Frequency 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 Length of Organ Pipe?

In this formula, Length of Organ Pipe uses Number of Nodes, Velocity of Wave & Wave Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Organ Pipe = (2*Number of Nodes+1)*Wavelength/4

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