Frequency of wire vibration

Therefore, if the tension is doubled, the new frequency will be 2 times the original frequency, or 660 Hz. In summary, the frequency of a 2-meter long wire vibrating at 330 Hz with a tension of 500 N will become 660 Hz when the tension is doubled, assuming the length and mass density remain constant. This can be calculated using the formula f_1/f_2 = sqrt{(T_1)/T_2)}.
  • #1
jsalapide
40
0
1.A 2-meter long wire vibrates with a frequency of 330 Hz when the tension is 500 N. What is the new frequency if the tension on the wire is doubled?

i have no idea how to solve this,, help..
 
Physics news on Phys.org
  • #3
i used the formula f=(n/2L)sqrt(T/mass density)
where n is the number of wave segments formed...

but how would i get the mass density?
 
  • #4
but how would i get the mass density?
Does it matter? It's the same wire, so surely all you need is the ratio of the root of the two T's in each case? The rest of the variables, except for frequency, are constant.

f_1/f_2 = sqrt{(T_1)/T_2)}
 
  • #5
If the length and mass density remains the same, the frequency is proportional to square root of the tension.
 

1. What is the frequency of wire vibration?

The frequency of wire vibration refers to the number of complete cycles or oscillations a wire makes in one second. It is typically measured in Hertz (Hz).

2. How is the frequency of wire vibration determined?

The frequency of wire vibration is determined by several factors, including the tension, length, and thickness of the wire, as well as the material it is made of. The formula for calculating frequency is f = 1 / 2L * √(T/m), where L is the length of the wire, T is the tension, and m is the mass per unit length.

3. What affects the frequency of wire vibration?

The frequency of wire vibration can be affected by various factors, including the tension, length, thickness, and material of the wire, as well as external forces such as wind or vibrations from nearby objects. Changes in any of these factors can alter the frequency of vibration.

4. Why is the frequency of wire vibration important?

The frequency of wire vibration is important because it can affect the performance and stability of structures or devices that use wires, such as musical instruments, suspension bridges, and electrical circuits. It is also a key factor in understanding and predicting the behavior of vibrating systems.

5. Can the frequency of wire vibration be changed?

Yes, the frequency of wire vibration can be changed by altering the factors that affect it, such as the tension, length, thickness, or material of the wire. External forces can also impact the frequency of vibration. In some cases, adding weights or dampers to the wire can also alter its frequency of vibration.

Similar threads

  • Introductory Physics Homework Help
Replies
7
Views
1K
Replies
13
Views
307
  • Introductory Physics Homework Help
Replies
23
Views
2K
  • Introductory Physics Homework Help
Replies
17
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
197
  • Introductory Physics Homework Help
Replies
10
Views
5K
  • Introductory Physics Homework Help
Replies
5
Views
481
  • Introductory Physics Homework Help
Replies
2
Views
843
  • Introductory Physics Homework Help
Replies
5
Views
809
  • Introductory Physics Homework Help
Replies
3
Views
1K
Back
Top