Finding Tension in a Transverse Wave on a String

In summary, we are given a transverse pulse propagating on a 2.0 m long string with a mass of 50 g. The pulse is described by an equation involving x, y, and t. Our goal is to find the tension in the string. To do this, we need to first determine the speed of the wave and understand how it relates to tension. The amplitude and equation provided in the conversation are not relevant to solving this problem.
  • #1
manyo2013
1
0

Homework Statement


A transverse pulse is propagating on a 2.0 m long string of mass 50 g. The pulse is
described by the equation:

y(x,t)=pi/(pi+(3x/2+pi(t))^2)

, with x and y in meters, and t in seconds.
Find the tension in the string.

Homework Equations


y=asin(wt+thetha)[/B]

The Attempt at a Solution


I first tried finding the amplitude of the wave, and at then I would have the displacement. After the displacement i don't know what to do. How doees this even relate to tension?
 
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  • #2
You are going about this the wrong way, the amplitude is completely irrelevant and your "relevant" equation is not either because it describes a sine wave and your wave is not a sine wave.

Ask yourself the following:
What is the speed of the wave?
How does the speed of the wave relate to the tension?
 

1. What is a pulse transverse wave?

A pulse transverse wave is a type of mechanical wave in which the particles of the medium move perpendicular to the direction of wave propagation. This means that the wave energy is transferred in a direction perpendicular to the motion of the particles.

2. What factors affect the speed of a pulse transverse wave?

The speed of a pulse transverse wave is determined by the tension and density of the medium through which the wave is traveling. The higher the tension and lower the density, the faster the wave will travel.

3. How does tension impact a pulse transverse wave?

Tension is the force that is applied to a medium to stretch it. In a pulse transverse wave, tension is responsible for the restoring force that allows the particles of the medium to return to their equilibrium position after being displaced by the wave. This affects the speed and amplitude of the wave.

4. What is the relationship between tension and frequency in a pulse transverse wave?

The frequency of a pulse transverse wave is inversely proportional to tension. This means that as tension increases, the frequency of the wave decreases. This is because higher tension results in a faster wave speed, which decreases the time it takes for the wave to complete one cycle.

5. How is tension measured in a pulse transverse wave?

Tension is typically measured in units of force, such as newtons (N) or pounds (lbs). This force can be applied to the medium through various methods, such as pulling on a string or using a spring scale, and the resulting tension can be measured using a force meter or tension gauge.

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