The velocity of transverse waves on a string

In summary, the velocity of transverse waves on a string is the speed at which the wave travels along the string, perpendicular to the direction of the wave's movement. It can be calculated using the equation v = √(T/μ), where v is the velocity, T is the tension in the string, and μ is the linear mass density of the string. The velocity is affected by tension, linear mass density, and material properties. It is typically slower than the velocity of longitudinal waves and is important in understanding wave propagation and various applications.
  • #1
Nikles
1
0
1. A violin string is 35 cm long between its fixed ends and has a mass of 2.0g. The string sounds the note A4 (440 Hz) when played.



Homework Equations


v=[itex]\sqrt{}F/ρ[/itex]



The Attempt at a Solution


I calculated ρ, mass per unit length, to be .0057 kg/m but do not know how to find the force that I need to plug into the equation.
 
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  • #2
Another formula (related to the one you mentioned, but derived from the wavelength) gives the wave velocity directly in terms of the freqency and string length. Try this one?

$$ f = \frac{v}{2 L} $$
 

Related to The velocity of transverse waves on a string

What is the velocity of transverse waves on a string?

The velocity of transverse waves on a string is the speed at which the wave travels along the string, perpendicular to the direction of the wave's movement.

How is the velocity of transverse waves on a string calculated?

The velocity of transverse waves on a string can be calculated using the equation v = √(T/μ), where v is the velocity, T is the tension in the string, and μ is the linear mass density of the string.

What factors affect the velocity of transverse waves on a string?

The velocity of transverse waves on a string is affected by the tension in the string, the linear mass density of the string, and the properties of the material the string is made of, such as elasticity and stiffness.

How does the velocity of transverse waves on a string differ from the velocity of longitudinal waves?

The velocity of transverse waves on a string is typically slower than the velocity of longitudinal waves, as transverse waves require a medium to travel through, while longitudinal waves can travel through vacuum.

Why is the velocity of transverse waves on a string important?

The velocity of transverse waves on a string is important in understanding how waves propagate and interact with different materials. It is also important in various applications, such as musical instruments and telecommunications.

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