Length of Closed Organ Pipe Calculator

✖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%
✖Wavelength is the distance covered by the wave in one oscillation.ⓘ Wavelength [λ]			+10% -10%

✖Length of organ pipe is the length of the pipe that used in the sound-producing element called organ pipe.ⓘ Length of Closed Organ Pipe [L]

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Formula

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Length of Closed Organ Pipe

Formula

`"L" = (2*"n"+1)*"λ"/4`

Example

`"0.5m"=(2*"2"+1)*"0.4m"/4`

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Length of Closed Organ Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Organ Pipe = (2*Number of Nodes+1)*Wavelength/4
L = (2*n+1)*λ/4
This formula uses 3 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.
Wavelength - (Measured in Meter) - Wavelength is the distance covered by the wave in one oscillation.

STEP 1: Convert Input(s) to Base Unit

Number of Nodes: 2 --> No Conversion Required
Wavelength: 0.4 Meter --> 0.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (2*n+1)*λ/4 --> (2*2+1)*0.4/4

Evaluating ... ...

L = 0.5

STEP 3: Convert Result to Output's Unit

0.5 Meter --> No Conversion Required

FINAL ANSWER

0.5 Meter <-- Length of Organ Pipe

(Calculation completed in 00.006 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 Closed Organ Pipe Formula

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

What is Closed Organ Pipe?

Closed Organ Pipe is a pipe in which one end is opened and another end is closed. Bottle, whistle, etc. are examples of closed organ pipe

How to Calculate Length of Closed Organ Pipe?

Length of Closed Organ Pipe calculator uses Length of Organ Pipe = (2*Number of Nodes+1)*Wavelength/4 to calculate the Length of Organ Pipe, Length of Closed Organ Pipe is the length of an organ pipe that is closed from both sides. SI Unit of length is meter. Length of Organ Pipe is denoted by L symbol.

How to calculate Length of Closed Organ Pipe using this online calculator? To use this online calculator for Length of Closed Organ Pipe, enter Number of Nodes (n) & Wavelength (λ) and hit the calculate button. Here is how the Length of Closed Organ Pipe calculation can be explained with given input values -> 0.5 = (2*2+1)*0.4/4.

FAQ

What is Length of Closed Organ Pipe?

Length of Closed Organ Pipe is the length of an organ pipe that is closed from both sides. SI Unit of length is meter and is represented as L = (2*n+1)*λ/4 or Length of Organ Pipe = (2*Number of Nodes+1)*Wavelength/4. 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 & Wavelength is the distance covered by the wave in one oscillation.

How to calculate Length of Closed Organ Pipe?

Length of Closed Organ Pipe is the length of an organ pipe that is closed from both sides. SI Unit of length is meter is calculated using Length of Organ Pipe = (2*Number of Nodes+1)*Wavelength/4. To calculate Length of Closed Organ Pipe, you need Number of Nodes (n) & Wavelength (λ). With our tool, you need to enter the respective value for Number of Nodes & Wavelength 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 & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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