How to calculate 1st Overtone Frquency

  • Thread starter Thread starter Ben James
  • Start date Start date
AI Thread Summary
To calculate the overtone frequency and wavelength of a string, the fundamental frequency can be derived using the equations L = λ/2 * n and v = f * λ. The variable n represents the harmonic number, which is crucial for determining the overtone. The wavelength can be found by rearranging the equation to λ = 2L/n, while the frequency is calculated using f = n * v/2L. It's important to focus on the relationships between these variables without introducing additional parameters like tension or mass per unit length in this context. Understanding these equations will help in accurately determining the overtone frequency and wavelength.
Ben James
Messages
3
Reaction score
0
How to I calculate the overtone frequency and the wavelength when I'm given the values to calculate the fundamental frequency of a string?

I've got equations such as:

L=lambda/2 * n, v = f * lambda (Maybe I'm missing one?) I don't know how to use them in this event.

Any hints?
 
Physics news on Phys.org
Ben James said:
How to I calculate the overtone frequency and the wavelength when I'm given the values to calculate the fundamental frequency of a string?

I've got equations such as:

L=lambda/2 * n, v = f * lambda (Maybe I'm missing one?) I don't know how to use them in this event.

Any hints?

Do you know what the meaning of the variable n is in the expression relating L and \lambda?
 
stevendaryl said:
Do you know what the meaning of the variable n is in the expression relating L and \lambda?

Just been looking over it again. I believe it's the harmonic number. Do I get the wavelength by Lamda = L

And I get the frequency by f = n/2L Squareroot(T/mu)?
 
Ben James said:
Just been looking over it again. I believe it's the harmonic number.

Some people might use the phrase "harmonic number", but there is another common word that starts with "o".

As for your answer, you have two equations involving L and v, and neither one mentions mu or T, so those don't need to appear in your answer.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Frequencies of the first three overtones in a string?
Replies
2
Views
2K
Calculate fundamental overtone and length of tube
Replies
4
Views
7K
Violin frequencies and harmonics
Replies
2
Views
4K
Calculate Wavelength Without Frequency
Replies
2
Views
2K
Raman Spectroscopy: Understanding Stokes and Anti-Stokes Lines
Replies
7
Views
2K
Fresnel Lens - Solve for Lithography & Power
Replies
0
Views
522
Guitar String's 2nd Overtone Frequency
Replies
3
Views
21K
Find fundamental freq. and 1st overtone closed each end pipe
Replies
4
Views
3K
Calculating the Planck Length
Replies
3
Views
222
Find two lowest frequencies standing wave
Replies
5
Views
6K

Hot Threads

Recent Insights

Back
Top