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 00.004 seconds)

Credits

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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